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Relevant bibliographies by topics / Mixing equations

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Academic literature on the topic 'Mixing equations'

Author: Grafiati

Published: 25 May 2024

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Journal articles on the topic "Mixing equations"

1

Brigham, W. E. "Mixing Equations in Various Geometries." SPE Reservoir Engineering 1, no. 02 (1986): 203–8. http://dx.doi.org/10.2118/4585-pa.

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Blasone, M., P. Jizba, and L. Smaldone. "Schwinger-Dyson equations and flavor mixing." Journal of Physics: Conference Series 1071 (August 2018): 012003. http://dx.doi.org/10.1088/1742-6596/1071/1/012003.

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Łoskot, K., and R. Rudnicki. "Mixing and some integro-functional equations." Aequationes Mathematicae 40, no. 1 (1990): 78–82. http://dx.doi.org/10.1007/bf02112282.

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Kostić, Marko. "Hypercyclic and topologically mixing properties of abstract timefractional equations with discrete shifts." Sarajevo Journal of Mathematics 9, no. 2 (2013): 257–69. http://dx.doi.org/10.5644/sjm.09.2.10.

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Eggl, Maximilian F., and Peter J. Schmid. "Shape optimization of stirring rods for mixing binary fluids." IMA Journal of Applied Mathematics 85, no. 5 (2020): 762–89. http://dx.doi.org/10.1093/imamat/hxaa012.

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Abstract Mixing is an omnipresent process in a wide range of industrial applications, which supports scientific efforts to devise techniques for optimizing mixing processes under time and energy constraints. In this endeavour, we present a computational framework based on nonlinear direct-adjoint looping for the enhancement of mixing efficiency in a binary fluid system. The governing equations consist of the nonlinear Navier–Stokes equations, complemented by an evolution equation for a passive scalar. Immersed and moving stirrers are treated by a Brinkman penalization technique, and the full s

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XUE, SHE-SHENG. "NEUTRINO MASSES AND MIXINGS." Modern Physics Letters A 14, no. 39 (1999): 2701–8. http://dx.doi.org/10.1142/s0217732399002844.

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We propose a novel theoretical understanding of neutrino masses and mixings, which is attributed to the left–right symmetric feature of the regularized standard model at short distances. We try to explain the smallness of Dirac neutrino masses and the decoupling of the right-handed neutrino as a free particle. Neutrino masses and mixing angles are completely related to each other in the Schwinger–Dyson equations for their self-energy functions. The solutions to these equations and a possible pattern of masses and mixings are discussed.

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Hall, Kenneth R., Gustavo A. Iglesias-Silva, and G. Ali Mansoori. "Quadratic mixing rules for equations of state." Fluid Phase Equilibria 91, no. 1 (1993): 67–76. http://dx.doi.org/10.1016/0378-3812(93)85079-2.

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Kirkup, S. M., M. Wadsworth, D. G. Armour, R. Badheka, and J. A. Van Den Berg. "Computational solution of the atomic mixing equations." International Journal of Numerical Modelling: Electronic Networks, Devices and Fields 11, no. 4 (1998): 189–205. http://dx.doi.org/10.1002/(sici)1099-1204(199807/08)11:4<189::aid-jnm301>3.0.co;2-a.

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Chitsaz, Mahzad, and Mani Fathali. "Effect of External Magnetic Field on Dynamics of Two-dimensional Isotropic Conducting Flow." E3S Web of Conferences 95 (2019): 02003. http://dx.doi.org/10.1051/e3sconf/20199502003.

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In this article, the impact of external uniform magnetic field on the dynamic characteristics and mixing parameters of two-dimensional isotropic magnetohydrodynamic (MHD) flow is investigated. For this purpose, the direct numerical simulation (DNS) is applied to two-dimensional incompressible Navier-Stokes and magnetic induction equations by pseudo-spectral method. Governing equations are considered in the N-S vorticity equations to guarantee the incompressibility conditions and remove the pressure term from equations. The Results of the calculations show that the deformation of vortexes by ex

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Lozovatsky, I. D., and H. J. S. Fernando. "Mixing efficiency in natural flows." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 371, no. 1982 (2013): 20120213. http://dx.doi.org/10.1098/rsta.2012.0213.

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It is argued that the mixing efficiency of naturally occurring stratified shear flows, γ = Rf /(1− Rf ), where Rf is the flux Richardson number, is dependent on at least two governing parameters: the gradient Richardson number Ri and the buoyancy Reynolds number Re b = ε / vN 2 . It is found that, in the range approximately 0.03< Ri <0.4, which spans 10 4 < Re b <10 6 , the mixing efficiency obtained via direct measurements of fluxes and property gradients in the stable atmospheric boundary layer and homogeneous/stationary balance equations of turbulent kinetic energy (TKE) is nomi

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Dissertations / Theses on the topic "Mixing equations"

1

Johnson, A. E. "The effects of curvature and divergence on turbulent mixing layers." Thesis, University of Surrey, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279304.

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Pibal, Douglas J. "Development and validation of MM5 MOS-based forecast equations for mixing height." abstract and full text PDF (free order & download UNR users only), 2007. http://0-gateway.proquest.com.innopac.library.unr.edu/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:1446430.

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McCabe, Ryan Matthew. "Small-scale coastal dynamics and mixing from a Lagrangian perspective /." Thesis, Connect to this title online; UW restricted, 2008. http://hdl.handle.net/1773/10963.

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Akhtar, Kareem. "Numerical Investigation using RANS Equations of Two-dimensional Turbulent Jets and Bubbly Mixing layers." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/34512.

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This thesis presents numerical investigations of two-dimensional single-phase turbulent jets and bubbly mixing layers using Reynolds-Averaged Navier-Stokes (RANS) equations. The behavior of a turbulent jet confined in a channel depends on the Reynolds number and geometry of the channel which is given by the expansion ratio (channel width to jet thickness) and offset ratio (eccentricity of the jet entrance). Steady solutions to the RANS equations for a two-dimensional turbulent jet injected in the middle of a channel have been obtained. When no entrainment from the channel base is allowed, th

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Morlock, Merlin B. "Nonlinear mixing of two collinear Rayleigh waves." Thesis, Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/50280.

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Nonlinear mixing of two collinear, initially monochromatic, Rayleigh waves propagating in the same direction in an isotropic, nonlinear elastic solid is investigated: analytically, by finite element method simulations and experimentally. In the analytical part, it is shown that only collinear mixing in the same direction fulfills the phase matching condition based on Jones and Kobett 1963 for the resonant generation of the second harmonics, as well as the sum and difference frequency components caused by the interaction of the two fundamental waves. Next, a coupled system of ordinary differen

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Sommerville, Lesley Laverne. "A Parabolized navier-stokes model for static mixers." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/19535.

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Helgesen, James Karl. "Particle mixing and diffusion in the turbulent wake of cylinder arrays." Diss., Georgia Institute of Technology, 1992. http://hdl.handle.net/1853/11227.

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Aroza, Benlloch Javier. "Dynamics of strongly continuous semigroups associated to certain differential equations." Doctoral thesis, Universitat Politècnica de València, 2015. http://hdl.handle.net/10251/57186.

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[EN] The purpose of the Ph.D. Thesis "Dynamics of strongly continuous semigroups associated to certain differential equations'' is to analyse, from the point of view of functional analysis, the dynamics of solutions of linear evolution equations. These solutions can be represented by a strongly continuous semigroup on an infinite-dimensional Banach space. The aim of our research is to provide global conditions for chaos, in the sense of Devaney, and stability properties of strongly continuous semigroups which are solutions of linear evolution equations. This work is composed of three principa

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Ostatnicky, Tomas. "Model calculation of four-wave mixing polarization and dynamics in bulk and confined semiconductors." Université Louis Pasteur (Strasbourg) (1971-2008), 2005. https://publication-theses.unistra.fr/public/theses_doctorat/2005/OSTATNICKY_Tomas_2005.pdf.

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Lee, Wei-Koon. "Chaotic mixing in wavy-type channels and two-layer shallow flows." Thesis, University of Oxford, 2011. http://ora.ox.ac.uk/objects/uuid:f5fcbe34-babb-4fae-9204-28de8774eb98.

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This thesis examines chaotic mixing in wavy-type channels and two-layer shallow water flow. For wavy-type channels, the equations of motion for vortices and fluid particles are derived assuming two-dimensional irrotational, incompressible flow. Instantaneous positions of the vortices and particles are determined using Lagrangian tracking, and are conformally mapped to the physical domain. Unsteady vortex motion is analysed, and vortex-induced chaotic mixing in the channels studied. The dynamics of mixing associated with the evolution of the separation bubble, and the invariant manifolds are ex

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Books on the topic "Mixing equations"

1

Center, Langley Research, ed. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. National Aeronautics and Space Administration, Langley Research Center, 1993.

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Girimaji, Sharath S. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. Institute for Computer Applications in Science and Engineering, 1993.

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Center, Langley Research, ed. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. National Aeronautics and Space Administration, Langley Research Center, 1993.

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Center, Langley Research, ed. Simulations of diffusion-reaction equations with implications to turbulent combustion modeling. National Aeronautics and Space Administration, Langley Research Center, 1993.

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5

Orbey, Hasan. Modeling vapor-liquid equilibria: Cubic equations of state and their mixing rules. Cambridge University Press, 1998.

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6

G, Ostrovskii Alexander, ed. Advection and diffusion in random media: Implications for sea surface temperature anomalies. Kluwer Academic, 1997.

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7

Miroslav, Krstić, ed. Flow control by feedback: Stabilization and mixing. Springer, 2003.

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8

United States. National Aeronautics and Space Administration., ed. Numerical solutions of the complete Navier-Stokes equations: Progress report no. 16 for the period July 1, 1998 to December 31, 1989. Dept. of Mechanical and Aerospace Engineering, North Carolina State University, 1989.

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United States. National Aeronautics and Space Administration., ed. Numerical solutions of the complete Navier-Stokes equations: Progress report no. 27 for the period October 1, 1995 to September 30, 1996. Dept. of Mechanical and Aerospace Engineering, North Carolina State University, 1996.

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10

J, Morris Philip, and United States. National Aeronautics and Space Administration., eds. Supersonic coaxial jet noise predictions. National Aeronautics and Space Administration, 1995.

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Book chapters on the topic "Mixing equations"

1

Mansoori, G. Ali. "Mixing Rules for Cubic Equations of State." In Equations of State. American Chemical Society, 1986. http://dx.doi.org/10.1021/bk-1986-0300.ch015.

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2

Copeman, Thomas W., and Paul M. Mathias. "Recent Mixing Rules for Equations of State." In Equations of State. American Chemical Society, 1986. http://dx.doi.org/10.1021/bk-1986-0300.ch017.

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3

Ely, James F. "Improved Mixing Rules for One-Fluid Conformal Solution Calculations." In Equations of State. American Chemical Society, 1986. http://dx.doi.org/10.1021/bk-1986-0300.ch016.

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4

Constantin, Peter, Laura Gioia Andrea Keller, and Camilla Nobili. "Existence, uniqueness, regularity and long time behavior of hydrodynamic evolution equations." In Transport, Fluids, and Mixing. De Gruyter Open, 2017. http://dx.doi.org/10.1515/9783110571240-003.

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5

Panagiotopoulos, A. Z., and R. C. Reid. "New Mixing Rule for Cubic Equations of State for Highly Polar, Asymmetric Systems." In Equations of State. American Chemical Society, 1986. http://dx.doi.org/10.1021/bk-1986-0300.ch028.

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6

Maasoumi, Esfandiar. "Mixing Forecasts in Linear Simultaneous Equations Under Quadratic Loss." In Contributions to Consumer Demand and Econometrics. Palgrave Macmillan UK, 1992. http://dx.doi.org/10.1007/978-1-349-12221-9_10.

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7

Lipp, Tobias, Grégoire Loeper, and Olivier Pironneau. "Mixing Monte-Carlo and Partial Differential Equations for Pricing Options." In Partial Differential Equations: Theory, Control and Approximation. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-642-41401-5_13.

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Castillo-Chavez, C., and S. Busenberg. "On the Solution of the Two-Sex Mixing Problem." In Differential Equations Models in Biology, Epidemiology and Ecology. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-45692-3_7.

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9

Benmekki, E. H., T. Y. Kwak, and G. A. Mansoori. "Van der Waals Mixing Rules for Cubic Equations of State." In ACS Symposium Series. American Chemical Society, 1987. http://dx.doi.org/10.1021/bk-1987-0329.ch009.

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10

Kostić, Marko. "Hypercyclic and Topologically Mixing Properties of Certain Classes of Abstract Time-Fractional Equations." In Difference Equations, Discrete Dynamical Systems and Applications. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-52927-0_12.

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Conference papers on the topic "Mixing equations"

1

Fernandes, Sara, and Sumitha Jayachandran. "Conductance and Mixing Time in Discrete Dynamical Systems." In Proceedings of the Twelfth International Conference on Difference Equations and Applications. WORLD SCIENTIFIC, 2010. http://dx.doi.org/10.1142/9789814287654_0018.

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2

Kepros, John G. "Raman scattering or four-wave mixing." In OSA Annual Meeting. Optica Publishing Group, 1985. http://dx.doi.org/10.1364/oam.1985.tuq6.

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An attempt was made to prove the identity of the set of equations describing the Raman phenomenon with the set describing four-wave mixing. The result is a classic proof by contradiction: for the two phenomena to be the same, 1 would have to equal 3/2, 1 would have to equal 5/2. The Raman phenomenon is described by Hertzberg as the vibronic coupling of monochromatic light with the quantized vibrational states of a molecule, producing sidebands from integral quanta. This process is considered one of the initial proofs of quantum mechanics. Four-wave mixing is the optical application of a radar

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3

Johansen, Per Michael, and Arne Skov Jensen. "Dynamics of Magnetophotorefractive Wave Mixing." In Photorefractive Materials, Effects, and Devices II. Optica Publishing Group, 1993. http://dx.doi.org/10.1364/pmed.1993.fre.1.

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In resonant photorefractive experiments the charge-density distribution in the conduction band is moving and an intrinsic magnetic field proportional to the velocity of the distribution is produced. In such cases the free electron plasma can interact with an externally applied magnetic field. On top of that materials exposed to a magnetic field exhibit Faraday rotation (Voigt birefringence) of the state of polarization of the optical bean.*. The purpose of the present summary is to describe the effect of both phenomena in a standard wave mixing setup. The photorefractive band transport model i

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4

Farzad, M. Hosseini. "Exact solution of coupled wave equations in degenerate four-wave mixing." In 17th Congress of the International Commission for Optics: Optics for Science and New Technology. SPIE, 1996. http://dx.doi.org/10.1117/12.2316105.

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Sargent, Murray, and Stephan W. Koch. "Multiwave mixing in semiconductor media." In OSA Annual Meeting. Optica Publishing Group, 1988. http://dx.doi.org/10.1364/oam.1988.fb3.

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We consider an intrinsic semiconductor medium subject to an injection current, an arbitrarily intense electromagnetic wave, and one or two non-saturating waves. We assume that the saturating wave intensity is constant throughout the interaction region and ignore transverse variations. We further assume that the carrier–carrier scattering is sufficiently fast that the carriers are described approximately by Fermi-Dirac distributions. We find that the probe-wave propagation is described by Beer’s law or coupled-mode equations. These equations are determined by a Fourier expansion technique highl

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6

Wa¨lter, Bettina, and Peter Ehrhard. "Numerical Simulation of Fluid Flows and Mixing in Microchannels Induced by Internal Electrodes." In ASME 2009 7th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2009. http://dx.doi.org/10.1115/icnmm2009-82016.

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We investigate the influence of internal electrodes onto the flow field, governed by electroosmosis and electrophoresis in a modular rectangular microchannel. As internal electrodes can be positioned at lower distances, they can be operated at lower voltages and still ensure strong electrical field strength. Even at lower voltages, electrode reactions influence the species concentration fields, and the crucial question arises, whether at the electrodes all species can be kept in dissolution or whether some species are released in gaseous form. The position and charge of multiple internal elect

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Van-Le, Thuy Hong, Sangmo Kang, Yong Kweon Suh, and Yangyang Wang. "Chaotic Mixing in Three-Dimensional Micro Channel." In ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer. ASMEDC, 2008. http://dx.doi.org/10.1115/mnht2008-52193.

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The quality of chaotic mixing in three-dimensional micro channel flow has been numerically studied using Fractional-step method (FSM) and particle tracking techniques such as Poincare´ section and Lyapunov exponents. The flow was driven by pressure distribution and the chaotic mixing was generated by applying alternating current to electrodes embedded on the bottom wall at a first half period and on the top wall at a second half period. The equations governing the velocity and concentration distributions were solved using FSM based on Finite Volume approach. Results showed that the mixing qual

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Tang, G. H., X. J. Gu, R. W. Barber, D. R. Emerson, Y. H. Zhang, and J. M. Reese. "Pulsating Electroosmotic Flow and Wall Block Mixing in Microchannels." In ASME 2008 First International Conference on Micro/Nanoscale Heat Transfer. ASMEDC, 2008. http://dx.doi.org/10.1115/mnht2008-52207.

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Understanding electroosmotic flow in microchannels is of both fundamental and practical significance for the design and optimization of various microfluidic devices to control fluid motion. Electroosmotic flows in microfluidic systems are restricted to the low Reynolds number regime, and mixing in these systems becomes problematic due to negligible inertial effects. To enhance the species mixing effect, the current study presents a numerical investigation of steady-state electroosmotic flow mixing in smooth microchannels, channels patterned with surface blocks, channels patterned with heteroge

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Deb, P., and Pradip Majumdar. "Direct Numerical Simulation of Mixing of a Passive in Decaying Turbulence." In ASME 1999 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/imece1999-1086.

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Abstract Research on turbulent mixing processes is of great interest to those working on turbulent-reactive flows. In this paper, a detailed study has been performed for the evolution of scalar fields of different initial integral scales in decaying, homogeneous and isotropic turbulence using DNS technique. Passive scalar mixing in a cubical decaying, homogeneous, isotropic turbulence field is considered. The three-dimensional incompressible Navier-Stokes equations together with scalar equation are solved using Fractional Step Method. The convective and diffusive terms in governing equations a

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Svensson, Erik D. "Computational Characterization of Passive Fluid Mixing in Microfluidics." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58422.

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In this work we computationally characterize fluid mixing in a number of passive microfluidic mixers. Generally, in order to systematically study and characterize mixing in realistic fluid systems we (1) compute the fluid flow in the systems by solving the stationary three-dimensional Navier-Stokes equations or Stokes equations with a finite element method, and (2) compute various measures indicating the degree of mixing based on concepts from dynamical systems theory, i.e., the sensitive dependence on initial conditions and mixing variance.

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Reports on the topic "Mixing equations"

1

Peters, Hartmut. Development of a Two-Equation Turbulence Model for Mean Shear- and Internal Wave-Driven Mixing. Defense Technical Information Center, 2010. http://dx.doi.org/10.21236/ada542572.

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Mikkelsen, D. R. Solution of the Fokker-Planck equation with mixing of angular harmonics by beam-beam charge exchange. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/5577657.

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Rahai, Hamid, and Jeremy Bonifacio. Virus Control Aboard a Commuter Bus. Mineta Transporation Institute, 2023. http://dx.doi.org/10.31979/mti.2023.2248.

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A major health concern for public transit users is exposure to viruses from other passengers. This numerical study examines virus containment aboard a public bus with changes to the bus ventilation system. The virus was modeled as a 2.5 µm round solid particle released from the mouth of the infectious passenger at a rate of 21 particles per second at a mouth velocity of 0.278 m/sec. The air delivery to the cabin was two linear ceiling slots spanning the length of the bus delivering 59.38 m3/min (2,097 CFM) of air at a mean velocity of 1 m/sec. Two different axial and vertical linear exhaust sl

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Ground-water flow simulation and chemical and isotopic mixing equation analysis to determine source contributions to the Missouri River alluvial aquifer in the vicinity of the Independence, Missouri, well field. US Geological Survey, 2002. http://dx.doi.org/10.3133/wri024208.

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