Relevant bibliographies by topics / STOKES LAW

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'STOKES LAW'

Author: Grafiati
Published: 4 June 2021
Last updated: 17 June 2025

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Journal articles on the topic "STOKES LAW"

1

Cartwright, Julyan H. E. "Stokes' law, viscometry, and the Stokes falling sphere clock." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2179 (2020): 20200214. http://dx.doi.org/10.1098/rsta.2020.0214.

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Clocks run through the history of physics. Galileo conceived of using the pendulum as a timing device on watching a hanging lamp swing in Pisa cathedral; Huygens invented the pendulum clock; and Einstein thought about clock synchronization in his Gedankenexperiment that led to relativity. Stokes derived his law in the course of investigations to determine the effect of a fluid medium on the swing of a pendulum. I sketch the work that has come out of this, Stokes drag, one of his most famous results. And to celebrate the 200th anniversary of George Gabriel Stokes’ birth I propose using the time of fall of a sphere through a fluid for a sculptural clock—a public kinetic artwork that will tell the time. This article is part of the theme issue ‘Stokes at 200 (part 2)’.
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Auerbach, David. "Some limits to Stokes’ law." American Journal of Physics 56, no. 9 (1988): 850–51. http://dx.doi.org/10.1119/1.15442.

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Nasyrov, V. V., and M. G. Nasyrova. "About the Stokes law applicability." Mathematical Structures and Modeling, no. 2 (54) (October 5, 2020): 40–48. http://dx.doi.org/10.24147/2222-8772.2020.2.40-48.

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We find the correction coefficient for the Stokes law that permit to use this formula in case of a spherical body in a tube with the glycerol. An interpolation formula for the correction coefficient for a motion with low-Reynolds-number is obtained.
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4

Nabarro, F. R. N. "Cottrell-stokes law and activation theory." Acta Metallurgica et Materialia 38, no. 2 (1990): 161–64. http://dx.doi.org/10.1016/0956-7151(90)90044-h.

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5

Wojnar, Ryszard. "Heuristic derivation of Brinkman's seepage equation." Technical Sciences 4, no. 20 (2017): 359–74. http://dx.doi.org/10.31648/ts.5433.

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Brinkman’s law is describing the seepage of viscous fluid through a porous medium and is more acurate than the classical Darcy’s law. Namely, Brinkman’s law permits to conform the flow through a porous medium to the free Stokes’ flow. However, Brinkman’s law, similarly as Schro¨dinger’s equation was only devined. Fluid in its motion through a porous solid is interacting at every point with the walls of pores, but the interactions of the fluid particles inside pores are different than the interactions at the walls, and are described by Stokes’ equation. Here, we arrive at Brinkman’s law from Stokes’ flow equation making use of successive iterations, in type of Born’s approximation method, and using Darcy’s law as a zero-th approximation.
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6

Schiller, Robert. "The Stokes-Einstein law by macroscopic arguments." International Journal of Radiation Applications and Instrumentation. Part C. Radiation Physics and Chemistry 37, no. 3 (1991): 549–50. http://dx.doi.org/10.1016/1359-0197(91)90033-x.

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7

Djoko, J. K., J. Koko, M. Mbehou, and Toni Sayah. "Stokes and Navier-Stokes equations under power law slip boundary condition: Numerical analysis." Computers & Mathematics with Applications 128 (December 2022): 198–213. http://dx.doi.org/10.1016/j.camwa.2022.10.016.

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8

Yang, Hailing, and Yi Xia. "Hydrodynamic instability of nanofluids in round jet for small Stokes number." Modern Physics Letters B 33, no. 33 (2019): 1950419. http://dx.doi.org/10.1142/s0217984919504190.

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The flow instability of particle-laden jet has been widely studied for large Stokes numbers. However, there is little attention on the case with small Stoke number, which often occurs in practical applications with nanoparticle-laden fluid. In this paper, the instability of nanofluids in round jet is studied numerically for [Formula: see text]. The results show that the law of nanofluids instability is quite similar to regular particle instability for axisymmetric azimuthal mode [Formula: see text]. However, for asymmetric azimuthal mode [Formula: see text], the regular pattern of instability is quite complex and different compared to common particle instability. The variations of wave amplification with wave number for different jet parameter [Formula: see text], Reynolds number Re, particle mass loading [Formula: see text], Knudsen number Kn, Stokes number St and the azimuthal modes [Formula: see text] are given. The flow usually gets more unstable as Knudsen number Kn increases, but the varying law gets inverse at high Reynolds number and at [Formula: see text]. The flow gets more unstable as Stokes number St increases at [Formula: see text] but gets more stable at [Formula: see text]. The decreases in wave number stimulate the flow instability at [Formula: see text] which shows distinct difference for the case at [Formula: see text]. Some unusual results of the effect of B, Re, Z on the flow instability are also discussed.
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9

Barton, I. E. "Exponential-Lagrangian Tracking Schemes Applied to Stokes Law." Journal of Fluids Engineering 118, no. 1 (1996): 85–89. http://dx.doi.org/10.1115/1.2817520.

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The exponential-Lagrangian tracking scheme applied to Stokes Law is developed by introducing a predictor-corrector formulation. The new predictor-corrector schemes are more accurate than the original scheme and are estimated to give a better performance taking into account the increased computational effort. The schemes are tested on two simple problems and the results are compared with the analytical solutions.
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10

Greenwood, Margaret Stautberg, Frances Fazio, Marie Russotto, and Aaron Wilkosz. "Using the Atwood machine to study Stokes’ law." American Journal of Physics 54, no. 10 (1986): 904–6. http://dx.doi.org/10.1119/1.14786.

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Dissertations / Theses on the topic "STOKES LAW"

1

Erdmann, Robert Gerald. "Image-Based Numerical Simulation of Stokes Flow in Porous Media." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195724.

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Numerical models for the simulation of longitudinal and transverse Stokes flow in cylindrical periodic porous media are presented. The models, which are based on a finite-volume formulation in primitive variables, utilize digital image representations of the geometries to simulate, making them particularly well-suited for the rapid automated analysis of creeping flow in porous media with complex morphologies. Complete details of the model formulations are given, including extensive treatment of the pressure boundary conditions at the solid-liquid interface needed to guarantee convergence with all possible geometries. The convergence behavior of both models is tested, and the models are shown to be second-order accurate.The models are used to simulate flow over the whole range of volume fractions of liquid in several regular geometries. The longitudinal model is used to simulate flow in square arrays of circular and square ducts, and both models are used to simulate flow in square and hexagonal arrays of circular cylinders and square arrays of square cylinders rotated by varying amounts. For each of the geometries, accurate empirical expressions for the Darcy permeability as a function of volume fraction solid are presented. Where applicable, model predictions of permeability are compared to existing analytical results.Subsequently, the models are used to simulate Stokes flow in random domains over a wide range of fractions liquid. The sequential random packing algorithm is used to generate 1,000 random packings of circular cylinders at each of 14 fractions of liquid, and longitudinal and transverse flow simulations are performed for each geometry. Histograms and summary statistics are computed for the permeability for each fraction liquid, and empirical expressions for mean permeability as a function of fraction liquid are given. The autocorrelation structure of the geometry and of the fluid velocity is analyzed, and an analysis of the scaling of longitudinal permeability variance is presented. In transverse flow at high packing densities, it is found that lightning-like patterns emerge in the fluid velocity. It is also found that the details of flows in such geometries are strongly sensitive to the placement of individual solid obstacles.
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2

Arimoto, Shinichi. "Numerical method for coupled analysis of Navier-Stokes and Darcy flows." Kyoto University, 2018. http://hdl.handle.net/2433/232352.

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Kyoto University (京都大学)<br>0048<br>新制・課程博士<br>博士(農学)<br>甲第21151号<br>農博第2277号<br>新制||農||1059(附属図書館)<br>学位論文||H30||N5125(農学部図書室)<br>京都大学大学院農学研究科地域環境科学専攻<br>(主査)教授 村上 章, 教授 川島 茂人, 教授 藤原 正幸<br>学位規則第4条第1項該当
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Franks, Susan J. "Mathematical modelling of tumour growth and stability." Thesis, Nottingham Trent University, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.366363.

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Hendrick, Angus Greer. "Effects of domain size on transverse permeability through random arrays of cylinders." Thesis, The University of Arizona, 2013. http://pqdtopen.proquest.com/#viewpdf?dispub=3592730.

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<p> Researchers using Darcy's law to model flow in porous media must satisfy the requirement for sufficient scale separation between the pore scale and the model scale. This requirement is analogous to that for any continuum model, where application is restricted to scales larger than the underlying discrete structure. In the case of Darcy's law when the model scale becomes too small, the measurement of the permeability&mdash;the material property required to close the relationship&mdash;becomes polluted by the boundary conditions, either physical or numerical. The requirements for adequate scale separation to obtain permeability measurements (also known as satisfying the conditions for a <i>representative elementary volume, </i> or REV, for permeability) have not been previously reported. Likewise, the behavior of Darcy models when applied at sub-REV length scales has not been reported.</p><p> Here, the results of Stokes simulations of transverse flow in 90,000 sequential random packings of monodisperse cylinders at a variety of liquid fractions and averaging-volume sizes show that approximately 200 cylinders must be present in an averaging volume before the effects of periodic boundary conditions on the Stokes simulations (the conventional choice for permeability measurements using Stokes flow) are no longer evident in the measured permeability. Direct comparisons between flow predictions from a two-dimensional, tensor-based Darcy model and a Stokes model for additional 10,000 domains show that the Darcy model is an unbiased predictor of the flow distribution in the system, even when the permeability is expected to contain boundary-condition artifacts. Though unbiased, the Darcy models do show considerable reduction in accuracy as the model scale shrinks toward the pore scale, with significant declines observed after the side length of a square averaging volume reaches 10 times the cylinder diameter. Finally, a novel approach for visualizing flows using the linear properties of the Stokes equations shows how the periodic boundary conditions affect the flow, and motivates the development of a generalized approach for obtaining permeability that does not require periodic boundary conditions. Modest improvements in the Darcy model relative to the actual Stokes flow result when the new approach is used to obtain permeability at small averaging volumes.</p>
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Boussetouan, Imane. "Etudes théorique et numérique de quelques problèmes d'écoulements et de chaleur hyperbolique." Thesis, Saint-Etienne, 2012. http://www.theses.fr/2012STET4024.

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Ce travail de thèse a pour but d'étudier des écoulements non stationnaires de fluides incompressibles Newtoniens et non isothermes. Le problème est décrit par les lois de conservation de la masse, de la quantité de mouvement et de l'énergie. Nous nous intéressons au couplage entre le système de Navier-Stokes et l’équation de la chaleur hyperbolique (le résultat de la combinaison entre la loi de conservation d'énergie et la loi de Cattaneo). Cette dernière est une modification de la loi de Fourier utilisée habituellement, elle permet de surmonter « le paradoxe de la chaleur » et d'obtenir une description plus précise de la propagation de la chaleur. Le système couplé est un problème hyperbolique-parabolique dont la viscosité dépend de la température, alors que la capacité thermique et le terme de dissipation dépendent de la vitesse. Afin d’obtenir un résultat d'existence de solutions du problème couplé, nous démontrons d'abord l'existence et l'unicité de la solution du problème hyperbolique puis nous introduisons une discrétisation en temps et nous étudions la convergence des solutions approchées vers celles du problème original. Dans un deuxième temps nous étudions l'existence et l'unicité de la solution du système de Navier-Stokes muni des conditions aux limites de type Tresca puis de type Coulomb en dimension 2 et 3. Dans le chapitre 3, nous proposons une discrétisation en temps du problème d'écoulement dans le cas de la condition au limite de type Tresca et nous établissons la convergence des solutions approchées. Le dernier chapitre de ce mémoire est consacré à l'étude du problème couplé dans le cas de conditions aux limites de type Tresca. L'existence d'une solution est obtenue par un argument théorique de point fixe en dimension 2 et également par une méthode de discrétisation en temps qui conduit à résoudre sur chaque sous intervalle de temps un problème découplé pour la vitesse et la pression d'une part et la température d'autre part<br>The main objective of this thesis is to study nonstationary flows of incompressible Newtonian and non isothermal fluids. The problem is described by the laws of conservation of mass, momentum and energy. We consider the coupling between the Navier-Stokes system and the hyperbolic heat equation (the result of combination between the law of conservation of energy and the Cattaneo’s law). This one is a modification of the commonly used Fourier's law, it overcomes "the heat paradox" and gives a more accurate description of heat propagation. The coupled system is an hyperbolic-parabolic problem where the viscosity depends on the temperature but the thermal capacity and the dissipative term depend on the velocity. To obtain an existence result for the coupled system, we first prove the existence and uniqueness of the solution of the hyperbolic problem then we introduce a time discretization and we study the convergence of the approximate solutions to those of the original problem. In the second chapter, we study the existence and uniqueness of the solution of Navier-Stokes system with Tresca or Coulomb boundary conditions in dimension 2 and 3. In the third chapter, we propose a time discretization of the flow problem in the case of Tresca boundary conditions and we establish the convergence of the approximate solutions. The last chapter is devoted to the study of the coupled problem in the case of Tresca free boundary conditions. The existence of a solution is obtained by a theoretical argument (fixed-point theorem) in dimension 2 and also by a method of time discretization leading, on each time subinterval, to a decoupled problem for the velocity and pressure of a hand and the temperature of the other hand
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Polavieja, Gonzalo Garcia de. "Geometric phase and angle for noncyclic adiabatic change, revivals and measures of quantal instability." Thesis, University of Oxford, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325986.

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Debbiche, Hanene. "Sur des problèmes de lubrification stationnaires et instationnaires non isothermes." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSES027/document.

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L’objectif de ce travail de thèse est d’étudier quelques problèmes elliptiques et paraboliques d’écoulement de fluides non Newtoniens incompressibles et non isothermes gouvernés par l’équation aux dérivées partielles de Stokes avec la condition de Tresca sur une partie du bord quand la viscosité dépend à la fois de la température, de la vitesse et du module du tenseur des taux de déformations. Dans le premier chapitre, on a fait une introduction générale. Dans le deuxième chapitre, nous nous intéressons au couplage entre le système de Stokes et l’équation de la chaleur en régime stationnaire. On montre l’existence de la solution de l’inéquation variationnelle décrivant le système de Stokes pour une température donnée quand la viscosité dépend à la fois de la température, de la vitesse et du module du tenseur des taux de déformations en utilisant la méthode de monotonie pour la vitesse et le théorème de De Rham pour la pression. Dans un deuxième temps, on étudie l’existence et l’unicité de la température solution de l’équation de la chaleur avec un terme L1(Ω) au second membre quand la viscosité dépend à la fois de la température, de la vitesse et du module du tenseur des taux de déformations. On montre ensuite l’existence de la solution du problème variationnel couplé avec la viscosité dépend de la température et du module du tenseur des taux de déformations, en utilisant le théorème de point fixe de Schauder. Dans le troisième et le quatrième chapitre, on traite l’existence et l’unicité de la solution du système de Stokes en régime instationnaire quand la viscosité dépend de la température et du module du tenseur des taux de déformations dans les cas p = 2, p &gt; 2 et 6 5 &lt; p &lt; 2 en utilisant la notion des semi-groupes et la méthode de monotonie pour la vitesse et le théorème de De Rham pour la pression. Par contre, lorsque la viscosité dépend de plus de la vitesse on obtient seulement l’existence par le théorème de point fixe de Schauder<br>The objective of this thesis is to study some elliptic and parabolic problems of the non-Newtonian flow of an incompressible and non isothermal fluid governed by partial differential equation of Stokes with Tresca’s condition on a part of the boundary when the fluid viscosity depends on temperature and also on the modulus of strain rate tensor and the velocity of the fluid. In the first chapter, we did a general introduction. In the second chapter, we consider the coupling between the Stokes systemand the heat equation in steady state. We prove the existence of a solution of the variational inequality describing the Stokes system when the fluid viscosity depends on temperature and also on the modulus of strain rate tensor and the velocity of the fluid of a given temperature by using the monotony methods for the velocity and De Rham’s theorem for the pressure. We study the existence and uniqueness of the temperature solution of the heat equation with L1 (Ω) term to the second member when the fluid viscosity depends on temperature and also on the modulus of strain rate tensor and the velocity of the fluid. We show the existence of a solution of the coupled variational problem when the fluid viscosity depends on temperature and also on the modulus of strain rate tensor by using Schauder fixed point theorem. In the third and the fourth chapter, we treate the existence and uniqueness of a solution of the Stokes system in unsteady state when the fluid viscosity depends only on temperature and on the modulus of strain rate tensor in the cases p = 2, p &gt; 2 and 6 5 &lt; p &lt; 2 by using the notion of semigroup and monotony methods for the velocity and De Rham’s theorem for the pressure. However, when the fluid viscosity depends also on the velocity of the fluid we obtain only the existence by Schauder fixed point theorem
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Itami, Masato. "Non-equilibrium Statistical Theory for Singular Fluid Stresses." 京都大学 (Kyoto University), 2016. http://hdl.handle.net/2433/215285.

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Sita, Ram Rao K. V. "Wall Effects In Packed Beds." Thesis, Indian Institute of Science, 1994. https://etd.iisc.ac.in/handle/2005/126.

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Packed beds find extensive application in a wide variety of industries. The objective of the present work is to analyze and evaluate the effects of the wall on structural characteristics, hydrodynamics and heat transfer in packed beds of spheres. As a first attempt, spheres of uniform size are considered. The cylindrical wall of the bed confines the location of the particles thus leading to significant radial variations in void fraction and specific lateral surface area. The two characteristics at any given radial position r* are estimated by defining a concentric cylindrical channel (CCC) of an arbitrary thickness such that its boundaries are equidistant from the cylindrical surface passing through r* and accounting for the solid volumes or lateral surface areas of the segments of spheres (cap, slice, rod and annular ring) contained in the CCC and with centers lying within a distance of a particle radius from r*.The curved boundaries of the sphere segments are rigorously accounted for. The low aspect ratio beds (aspect ratio less than or equal to 2) show three distinct types of behavior. In beds of aspect ratio 2, the void fraction starts from a value of unity at the wall and decreases to a minimum and then increases to unity at the center of the bed. In beds with aspect ratio between l\/¯3/2, there is a continuous decrease in void fraction from unity at the wall to a fairly low value towards the axis and then a slight increase followed by another decrease. The profiles for aspect ratio less than l\/¯3/2 show a continuous decrease from a value of unity at the wall to zero towards the axis. In contrast, beds of high aspect ratio show heavily damped oscillations in the void fraction up to about five particle diameters from the wall and then a constant value. The lateral surface area variations in low aspect ratio beds show a steep fall from a very high value near the wall, and in high aspect ratio beds an oscillatory nature, though not as strong as in the corresponding void fraction profiles. The distribution of flow in packed beds for steady flow of an incompressible Newtonian fluid under isothermal conditions is modeled by using Ergun equation with Brinkman-type correction to account for the viscous effects in the region close to the wall. The confining effect of the wall is incorporated through the radial variations in void fraction and specific lateral surface area. The hydraulic radius in the region next to the wall is modified to take into account the resistance of the wall surface to flow. The resulting model equations with appropriate boundary conditions are solved numerically by collocation technique. The influence of aspect ratio in the range 1.25 to 20.3 and Reynolds number from 0.1 to 1000, the two most important factors affecting the flow behavior, is evaluated. The velocity profiles show a peak in the region close to the wall thus indicating severe channeling effect in this region. The magnitude and location of the peak depend on aspect ratio and Reynolds number. The model predictions agree remarkably with reported experimental data on velocity profiles in a bed of aspect ratio 10.7, and on the effect of Reynolds number on friction factors in beds of low aspect ratio. The radial variations in void fraction, velocity and effective thermal conductivity are incorporated in the two-dimensional pseudo-homogeneous steady-state model to analyze the wall effects on heat transfer in packed beds. Both constant wall temperature and constant wall flux boundary conditions are adopted. The equations are solved numerically using finite difference technique. The radial temperature profiles are seen to be fairly uniform in beds of low aspect ratio thus showing that the often made assumption of complete radial thermal mixing in low aspect ratio beds is valid. Beds of high aspect ratio show strong radial gradients. For constant heat flux condition the slope of the temperature profile remains constant after a small distance from the Inlet thus leading to thermally fully-developed flow. For this condition the heat transfer equations are solved analytically to obtain expressions for Nusselt number and the radial temperature profiles. There is a significant difference in the temperature profiles evaluated in the presence and absence of wall effects. Good agreement is found between the Nusselt numbers obtained from the model and reported experimental data.
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Sita, Ram Rao K. V. "Wall Effects In Packed Beds." Thesis, Indian Institute of Science, 1994. http://hdl.handle.net/2005/126.

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Packed beds find extensive application in a wide variety of industries. The objective of the present work is to analyze and evaluate the effects of the wall on structural characteristics, hydrodynamics and heat transfer in packed beds of spheres. As a first attempt, spheres of uniform size are considered. The cylindrical wall of the bed confines the location of the particles thus leading to significant radial variations in void fraction and specific lateral surface area. The two characteristics at any given radial position r* are estimated by defining a concentric cylindrical channel (CCC) of an arbitrary thickness such that its boundaries are equidistant from the cylindrical surface passing through r* and accounting for the solid volumes or lateral surface areas of the segments of spheres (cap, slice, rod and annular ring) contained in the CCC and with centers lying within a distance of a particle radius from r*.The curved boundaries of the sphere segments are rigorously accounted for. The low aspect ratio beds (aspect ratio less than or equal to 2) show three distinct types of behavior. In beds of aspect ratio 2, the void fraction starts from a value of unity at the wall and decreases to a minimum and then increases to unity at the center of the bed. In beds with aspect ratio between l\/¯3/2, there is a continuous decrease in void fraction from unity at the wall to a fairly low value towards the axis and then a slight increase followed by another decrease. The profiles for aspect ratio less than l\/¯3/2 show a continuous decrease from a value of unity at the wall to zero towards the axis. In contrast, beds of high aspect ratio show heavily damped oscillations in the void fraction up to about five particle diameters from the wall and then a constant value. The lateral surface area variations in low aspect ratio beds show a steep fall from a very high value near the wall, and in high aspect ratio beds an oscillatory nature, though not as strong as in the corresponding void fraction profiles. The distribution of flow in packed beds for steady flow of an incompressible Newtonian fluid under isothermal conditions is modeled by using Ergun equation with Brinkman-type correction to account for the viscous effects in the region close to the wall. The confining effect of the wall is incorporated through the radial variations in void fraction and specific lateral surface area. The hydraulic radius in the region next to the wall is modified to take into account the resistance of the wall surface to flow. The resulting model equations with appropriate boundary conditions are solved numerically by collocation technique. The influence of aspect ratio in the range 1.25 to 20.3 and Reynolds number from 0.1 to 1000, the two most important factors affecting the flow behavior, is evaluated. The velocity profiles show a peak in the region close to the wall thus indicating severe channeling effect in this region. The magnitude and location of the peak depend on aspect ratio and Reynolds number. The model predictions agree remarkably with reported experimental data on velocity profiles in a bed of aspect ratio 10.7, and on the effect of Reynolds number on friction factors in beds of low aspect ratio. The radial variations in void fraction, velocity and effective thermal conductivity are incorporated in the two-dimensional pseudo-homogeneous steady-state model to analyze the wall effects on heat transfer in packed beds. Both constant wall temperature and constant wall flux boundary conditions are adopted. The equations are solved numerically using finite difference technique. The radial temperature profiles are seen to be fairly uniform in beds of low aspect ratio thus showing that the often made assumption of complete radial thermal mixing in low aspect ratio beds is valid. Beds of high aspect ratio show strong radial gradients. For constant heat flux condition the slope of the temperature profile remains constant after a small distance from the Inlet thus leading to thermally fully-developed flow. For this condition the heat transfer equations are solved analytically to obtain expressions for Nusselt number and the radial temperature profiles. There is a significant difference in the temperature profiles evaluated in the presence and absence of wall effects. Good agreement is found between the Nusselt numbers obtained from the model and reported experimental data.
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Books on the topic "STOKES LAW"

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United States. Congress. House. Committee on Energy and Commerce. Melanie Blocker-Stokes Postpartum Depression Research and Care Act: Report (to accompany H.R. 20) (including cost estimate of the Congressional Budget Office). U.S. G.P.O., 2007.

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United States. Congress. House. Committee on Energy and Commerce. Melanie Blocker-Stokes Postpartum Depression Research and Care Act: Report (to accompany H.R. 20) (including cost estimate of the Congressional Budget Office). U.S. G.P.O., 2007.

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United States. Congress. House. Committee on Energy and Commerce. Melanie Blocker-Stokes Postpartum Depression Research and Care Act: Report (to accompany H.R. 20) (including cost estimate of the Congressional Budget Office). U.S. G.P.O., 2007.

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United States. Congress. House. Committee on Energy and Commerce. Melanie Blocker-Stokes Postpartum Depression Research and Care Act: Report (to accompany H.R. 20) (including cost estimate of the Congressional Budget Office). U.S. G.P.O., 2007.

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Green, Robert D. Preliminary results of a microgravity investigation to measure net charge on granular materials. National Aeronautics and Space Administration, Glenn Research Center, 2003.

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Green, Robert D. Preliminary results of a microgravity investigation to measure net charge on granular materials. National Aeronautics and Space Administration, Glenn Research Center, 2003.

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Yeh, Chou, Bertoglio Jean-Pierre, and Institute for Computer Applications in Science and Engineering., eds. Energy transfer and triadic interactions in compressible turbulence: Under contract NAS1-19480. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1997.

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Branley, Edward J. Maison Blanche Department Stores. Arcadia Pub., 2011.

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Goobie, Beth. Sticks and stones. Orca Book Publishers, 2002.

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New Zealand. Ministry of Commerce. Energy and Resources Division. Draft minerals programme for industrial rocks and building stones. Energy and Resources Division, Ministry of Commerce, 1995.

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Book chapters on the topic "STOKES LAW"

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Gooch, Jan W. "Stokes’ Law." In Encyclopedic Dictionary of Polymers. Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4419-6247-8_11245.

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Zimmerman, Robert W., and In-Wook Yeo. "Fluid flow in rock fractures: From the Navier-Stokes equations to the cubic law." In Dynamics of Fluids in Fractured Rock. American Geophysical Union, 2000. http://dx.doi.org/10.1029/gm122p0213.

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Aniya, Masaru, Kotaro Noguchi, and Masahiro Ikeda. "Analyzing the Breakdown of the Stokes-Einstein Law in AgI–AgPO3 and M–PO3 (M = Mg, Ca, Sr, Ba) Melts." In Springer Proceedings in Physics. Springer Nature Singapore, 2025. https://doi.org/10.1007/978-981-96-3624-2_3.

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Cebeci, Tuncer, Max Platzer, Hsun Chen, Kuo-Cheng Chang, and Jian P. Shao. "Navier-Stokes Methods." In Analysis of Low-Speed Unsteady Airfoil Flows. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-27361-1_8.

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Foucault, A. P., E. Camacho Frias, C. G. Bordier, and F. Le Goffic. "Model Based on Stokes' Law as a Simple Way To Describe the Flow Pattern of the Mobile Phase in Centrifugal Partition Chromatography." In ACS Symposium Series. American Chemical Society, 1995. http://dx.doi.org/10.1021/bk-1995-0593.ch005.

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Kariganaur, Ashok Kumar, Hemantha Kumar, and Arun Mahalingam. "Experimental investigation on feasibility of using stokes settling law for batch settling at different temperatures and performance analysis of magnetorheological fluids using magnetorheological damper." In Challenges and Opportunities in Industrial and Mechanical Engineering: A Progressive Research Outlook. CRC Press, 2024. http://dx.doi.org/10.1201/9781032713229-56.

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Sorlin, Sandrine. "Chapter 10. The Rolling Stones promoting Monty Python." In The Pragmatics of Irony and Banter. John Benjamins Publishing Company, 2018. http://dx.doi.org/10.1075/lal.30.10sor.

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Meyer-Ohle, Hendrik. "Retail Policy: A Law for Large Stores." In Innovation and Dynamics in Japanese Retailing. Palgrave Macmillan UK, 2003. http://dx.doi.org/10.1057/9780230510654_3.

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Cebeci, Tuncer, Max Platzer, Hsun Chen, Kuo-Cheng Chang, and Jian P. Shao. "Applications of Navier-Stokes Methods." In Analysis of Low-Speed Unsteady Airfoil Flows. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-27361-1_9.

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Lax, Peter D., and Maria Shea Terrell. "Divergence and Stokes’ Theorems and conservation laws." In Multivariable Calculus with Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-74073-7_8.

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Conference papers on the topic "STOKES LAW"

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He, Rui Yang, and Chun Jiang. "Experiment and Data Analysis of Spheres Falling in Bounded System." In 12th Annual International Conference on Material Science and Engineering. Trans Tech Publications Ltd, 2025. https://doi.org/10.4028/p-kmd8tg.

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In an open or unbounded system, when a solid sphere freely falls into a liquid, it accelerates until it reaches a terminal velocity. At this point, the gravitational force, buoyant force, and viscous drag acting on the sphere are balanced. Stokes' law describes that in a laminar flow state, the viscous drag on the sphere is proportional to its radius, velocity, and viscosity coefficient. In this paper, an experimental system was constructed and the vertical and horizontal positions of spheres were measured with different sizes and densities in liquids of different diameters and viscosities, and the vertical and horizontal positions, velocities, and accelerations of spheres were analyzed. The data analysis shows that the sphere is not only subjected to the viscous drag and but also the boundary forces from the system. This work will have a significance in modeling and computer simulation of accurate measurement of liquid viscosity.
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Oruc, Ilker, Jeremy Shipman, Susan Polsky, Joseph Horn, and James Erwin. "Coupled Flight Dynamics and CFD Simulations of the Helicopter / Ship Dynamic Interface." In Vertical Flight Society 71st Annual Forum & Technology Display. The Vertical Flight Society, 2015. http://dx.doi.org/10.4050/f-0071-2015-10217.

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The objective of this study is the development of a virtual dynamic interface simulation using fully coupled Navier-Stokes CFD with a helicopter flight dynamics model. The results show the initial coupling of the codes and development of baseline cases. The long-term goal is to develop more efficient numeric techniques and integrate the simulation on advanced computing hardware with the objective of achieving real-time computations. The unsteady flow over the generic simple frigate shape (SFS2) was calculated using the CRAFT Tech computational fluid dynamics solver, CRUNCH CFD®. The GENHEL-PSU simulation code was integrated with the flow solution, and simulations were performed with a non-linear dynamic inversion control law to hold hover or follow a prescribed trajectory. An Actuator Disk Model with Gaussian distribution of source terms stacked vertically around the rotor disk is developed and sensitivity studies were performed for cases with the vehicle fuselage dynamics frozen. Free flight simulations were then performed, with full rotorcraft flight dynamics regulated by the NLDI controller and coupled with the CFD flow solutions. The time history results include: the helicopter hovering in an open domain both in and out of ground effect, the helicopter hovering over the SFS2 ship deck, and the helicopter performing an approach to the SFS2 ship deck. Results compare responses with no CFD coupling, using a one-way coupled CFD airwake, and using fully coupled simulations. Fully coupled simulations are shown to be feasible, to exhibit reasonable physical behavior, and to capture expected aerodynamic coupling effects.
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Rodrigue, Denis. "Do Small Bubbles Follow Stokes Law?" In ASME 2002 Joint U.S.-European Fluids Engineering Division Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/fedsm2002-31139.

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The motion of gas bubbles in a liquid medium is known to be affected by the presence of surface active molecules which modify the hydrodynamic conditions prevailing at the gas-liquid interface. In the past, gas bubbles rising in aqueous solutions have been said to follow Stokes law (rigid interface). In this work, we present some theoretical calculations and experimental data on the influence of surfactants for the motion of air bubbles rising in non-Newtonian solutions. It is shown that the rheology of the system introduces a complex balance of forces acting on the bubble.
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Dawson, Thomas H. "Rayleigh Law and Stokes Correction for High Waves in Heavy Seas." In Fourth International Symposium on Ocean Wave Measurement and Analysis. American Society of Civil Engineers, 2002. http://dx.doi.org/10.1061/40604(273)50.

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Dormidonov, A. E., V. P. Kandidov, V. O. Kompanets, and S. V. Chekalin. "General Law of Anti-Stokes Wing Formation in the Spectrum of Femtosecond Light Bullet." In 2018 International Conference Laser Optics (ICLO). IEEE, 2018. http://dx.doi.org/10.1109/lo.2018.8435246.

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Semipyatny, V. K., S. A. Khurshudyan, and A. B. Irazikhanov. "RESEARCH OF THE EXPONENTIAL RATE EQUATION TERM OF DROWNING PARTICLES ACCORDING TO THE STOKES LAW." In Aktualnye voprosy industrii napitkov. Izdatelstvo i tipografiya "Kniga-memuar", 2018. http://dx.doi.org/10.21323/978-5-6041190-3-7-2018-2-159-161.

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Ulerich, Rhys, Kemelli C. Estacio-Hiroms, Nicholas Malaya, and Robert D. Moser. "A TRANSIENT MANUFACTURED SOLUTION FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A POWER LAW VISCOSITY." In 10th World Congress on Computational Mechanics. Editora Edgard Blücher, 2014. http://dx.doi.org/10.5151/meceng-wccm2012-16661.

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Sengupta, Dibyendu, and Alison L. Marsden. "A Computational Investigation of Murray’s Law Using 3-D Navier Stokes Solutions and Derivative-Free Optimization." In ASME 2009 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2009. http://dx.doi.org/10.1115/sbc2009-206879.

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Murray’s law has been the subject of continual investigation since its derivation in 1926. In his original work Murray solved a simple analytical optimization problem to minimize power requirements, balancing flow rate and metabolic function to find the optimal relationship between the radius of a parent and daughter vessel in a bifurcation along with the bifurcation angle. The cost function used in his work was the sum of a pressure loss term and a metabolic cost term. Minimizing this cost function, Murray derived the following relationship between parent and daughter vessels, rpα=rd1α+rd2α and an angle between the branches of 37.5°.
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He, Xupeng, Marwa Alsinan, Hyung Kwak, and Hussein Hoteit. "An Accurate Cubic Law for the Upscaling of Discrete Natural Fractures." In SPE Middle East Oil & Gas Show and Conference. SPE, 2021. http://dx.doi.org/10.2118/204906-ms.

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Abstract Modeling fluid flow in fractured reservoirs requires an accurate evaluation of the hydraulic properties of discrete fractures. Full Navier-Stokes simulations provide an accurate approximation of the flow within fractures, including fracture upscaling. However, its excessive computational cost makes it impractical. The traditionally used cubic law (CL) is known to overshoot the fracture hydraulic properties significantly. In this work, we propose an alternative method based on the cubic law. We first develop geometric rules based on the fracture topography data, by which we subdivide the fracture into segments and local cells. We then modify the aperture field by incorporating the effects of flow direction, flow tortuosity, normal aperture, and local roughness. The approach is applicable for fractures in 2D and 3D spaces. This paper presented almost all existing CL-based models in the literature, which include more than twenty models. We benchmarked all these models, including our proposed model, for thousands of fracture cases. High-resolution simulations solving the full-physics Navier-Stokes (NS) equations were used to compute the reference solutions. We highlight the behavior of accuracy and limitations of all tested models as a function of fracture geometric characteristics, such as roughness. The obtained accuracy of the proposed model showed the highest for more than 2000 fracture cases with a wide range of tortuosity, roughness, and mechanical aperture variations. None of the existing methods in the literature provide this level of accuracy and applicability. The proposed model retains the simplicity and efficiency of the cubic law and can be easily implemented in workflows for reservoir characterization and modeling.
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Epple, Philipp, Michael Steppert, and Andreas Malcherek. "Wall Bounded Flows and a General Proof of the Validity of the Universal Logarithmic Law of the Wall." In ASME 2021 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/fedsm2021-65733.

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Abstract The logarithmic law of the wall is usually derived for the flat plate assuming stationary, two-dimensional fully developed flow with no external pressure gradient. The Prandtl mixing length model for the turbulence is applied, which assumes homogeneous turbulence and two empirical constants, and the logarithmic wall law is derived. It is than stated in the textbooks that it is universally valid without a proof. As a justification experimental evidence is shown. First this proof will be shown in detail. Than a more general approach based on similarity considerations is made to show the universal validity of the logarithmic law of the wall. Starting from the Navier-Stokes equation a general non dimensional form of this equation is derived showing its dependency from four non-dimensional numbers, the Strouhal, Euler, Reynolds and the Froude number. Then wall bounded laminar flows are analyzed by dimensional analysis. The laminar boundary length and time scales are derived and used to non-dimensionalize the Navier-Stokes equation. With this specific non-dimensionalization for the laminar boundary layer a more specific non dimensional Navier-Stokes equation is derived. Then the high Reynolds limit is taken with considerations of orders of magnitude and the boundary layer equations are derived. Finally, for turbulent near wall flows a dimensional analysis is made and the corresponding near wall non-dimensional velocities and coordinates y+ and u+ are derived from the Buckingham-Π theorem. Using these variables to non-dimensionalize the Navier-Stokes equations in the near wall turbulent region the third author Malcherek showed that the so derived non-dimensional Navier-Stokes equations do not depend on any non-dimensional number and has a unique solution. Hence, the logarithmic law of the wall must be universally valid, without any simplification, any turbulence model, empirical constant or further assumptions. In such a way the students do not have to believe anymore in the universality of the logarithmic law of the wall based on empirical evidence only, now this fact has been proven by the third author Malcherek and the larger context has been elaborated by all authors for an advanced teaching of wall bounded flows.
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Reports on the topic "STOKES LAW"

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Hall, Wiley A., Robert L. Gladhill, Jeffrey Horlick, and Harvey W. Berger. Stove LAP handbook :. National Bureau of Standards, 1985. http://dx.doi.org/10.6028/nbs.ir.85-3185.

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Serne, R. Jeffrey, David C. Lanigan, Joseph H. Westsik, Benjamin D. Williams, H. B. Jung, and Guohui Wang. Extended Leach Testing of Simulated LAW Cast Stone Monoliths. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1365453.

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Serne, R. Jeffrey, Joseph H. Westsik, Benjamin D. Williams, H. B. Jung, and Guohui Wang. Extended Leach Testing of Simulated LAW Cast Stone Monoliths. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1208783.

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Russell, Renee L., Joseph H. Westsik, David J. Swanberg, et al. Letter Report: LAW Simulant Development for Cast Stone Screening Test. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1096128.

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Feizollahi, F., B. Teheranian, and W. J. Quapp. Alpha low-level stored waste systems design study. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/6914021.

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Feizollahi, F., B. Teheranian, and W. J. Quapp. Alpha low-level stored waste systems design study. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/10186100.

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Setiawan, Ken M. P., Bronwyn A. Beech Jones, Rachael Diprose, and Amalinda Savirani, eds. Women’s Journeys in Driving Change: Women’s Collective Action and Village Law Implementation in Indonesia. University of Melbourne with Universitas Gadjah Mada and MAMPU, 2020. http://dx.doi.org/10.46580/124331.

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This volume shares the life journeys of 21 women from rural villages from Sumatra, to Java, to Kalimantan, Sulawesi and East and West Nusa Tenggara (for ethical reasons, all names have been anonymised). In each of these villages, CSOs introduced and/or strengthened interventions to support gender inclusion, women’s collective action and empowerment. The stories of these village women offer unique insights into women’s aspirations, the challenges they have encountered and their achievements across multiple scales and domains, illustrating the lived complexities of women in rural Indonesia, particularly those from vulnerable groups. The stories shared highlight women’s own pathways of change and their resilience and determination often in the face of resistance from their families and communities, to ultimately reduce rural gender inequities and bolster gender inclusiveness. The stories also illustrate the important role CSOs—those that are focused on gender inclusion and facilitating grassroots women’s agency and empowerment—can play in supporting women’s voice and agency as they undertake this journey.
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Setiawan, Ken M. P., Bronwyn A. Beech Jones, Rachael Diprose, and Amalinda Savirani, eds. Women’s Journeys in Driving Change: Women’s Collective Action and Village Law Implementation in Indonesia. University of Melbourne with Universitas Gadjah Mada and MAMPU, 2020. http://dx.doi.org/10.46580/124331.

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This volume shares the life journeys of 21 women from rural villages from Sumatra, to Java, to Kalimantan, Sulawesi and East and West Nusa Tenggara (for ethical reasons, all names have been anonymised). In each of these villages, CSOs introduced and/or strengthened interventions to support gender inclusion, women’s collective action and empowerment. The stories of these village women offer unique insights into women’s aspirations, the challenges they have encountered and their achievements across multiple scales and domains, illustrating the lived complexities of women in rural Indonesia, particularly those from vulnerable groups. The stories shared highlight women’s own pathways of change and their resilience and determination often in the face of resistance from their families and communities, to ultimately reduce rural gender inequities and bolster gender inclusiveness. The stories also illustrate the important role CSOs—those that are focused on gender inclusion and facilitating grassroots women’s agency and empowerment—can play in supporting women’s voice and agency as they undertake this journey.
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Templeton, Patricia. Celebrate Valentine’s Day with three early Lab love stories. Office of Scientific and Technical Information (OSTI), 2022. http://dx.doi.org/10.2172/1840855.

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Kim, Young. Hanford's Simulated Low Activity Waste Cast Stone Processing. Office of Scientific and Technical Information (OSTI), 2013. http://dx.doi.org/10.2172/1090764.

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