Academic literature on the topic 'Oseen problem'

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Oseen problem.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Oseen problem"

1

Medková, Dagmar, Mariya Ptashnyk, and Werner Varnhorn. "Generalized Darcy-Oseen resolvent problem." Mathematical Methods in the Applied Sciences 39, no. 6 (February 29, 2016): 1621–30. http://dx.doi.org/10.1002/mma.3872.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Wang, Lei, Jian Li, and Pengzhan Huang. "An efficient iterative algorithm for the natural convection equations based on finite element method." International Journal of Numerical Methods for Heat & Fluid Flow 28, no. 3 (March 5, 2018): 584–605. http://dx.doi.org/10.1108/hff-03-2017-0101.

Full text
Abstract:
Purpose This paper aims to propose a new highly efficient iterative method based on classical Oseen iteration for the natural convection equations. Design/methodology/approach First, the authors solve the problem by the Oseen iterative scheme based on finite element method, then use the error correction strategy to control the error arising. Findings The new iterative method not only retains the advantage of the Oseen scheme but also saves computational time and iterative step for solving the considered problem. Originality/value In this work, the authors introduce a new iterative method to solve the natural convection equations. The new algorithm consists of the Oseen scheme and the error correction which can control the errors from the iterative step arising for solving the nonlinear problem. Comparing with the classical iterative method, the new scheme requires less iterations and is also capable of solving the natural convection problem at higher Rayleigh number.
APA, Harvard, Vancouver, ISO, and other styles
3

Dallmann, Helene, Daniel Arndt, and Gert Lube. "Local projection stabilization for the Oseen problem." IMA Journal of Numerical Analysis 36, no. 2 (July 7, 2015): 796–823. http://dx.doi.org/10.1093/imanum/drv032.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Hamilton, Steven, Michele Benzi, and Eldad Haber. "New multigrid smoothers for the Oseen problem." Numerical Linear Algebra with Applications 17, no. 2-3 (February 9, 2010): 557–76. http://dx.doi.org/10.1002/nla.707.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

ur Rehman, M., C. Vuik, and G. Segal. "SIMPLE-type preconditioners for the Oseen problem." International Journal for Numerical Methods in Fluids 61, no. 4 (October 10, 2009): 432–52. http://dx.doi.org/10.1002/fld.1957.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Medková, Dagmar. "OSEEN SYSTEM WITH CORIOLIS TERM." International Journal of Mathematics, Statistics and Operations Research 2, no. 1 (2022): 29–41. http://dx.doi.org/10.47509/ijmsor.2022.v02i01.03.

Full text
Abstract:
This paper is devoted to solutions of the Dirichlet problem for the Oseen system with Coriolis term –�u(z) + �� 1 u(z) – (� × z) � �u(z) + �� × u(z) + �p(z) = f (z), � . � in �, u = g on �� in the homogeneous Sobolev space 1, 3 ( ; ) ( )q q W L� � �� � with 2 � q < 3. Here �� � � 3 is an exterior domain. Kracmar, Necasová and Penel proved that if � has boundary of class � 2 , g � 0 and f � D –1,q (�; � 3 ), then there exists a unique solution of the problem. This paper shows that this result holds true even for domains with Lipschitz boundary. Moreover, we prove unique solvability of the problem for general g � W 1–1/q,q (��;� � 3 ) and f � D –1,q (�; � 3 ).
APA, Harvard, Vancouver, ISO, and other styles
7

Wang, Aiwen, Xin Zhao, Peihua Qin, and Dongxiu Xie. "An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D/3D Stationary Navier-Stokes Equations." Abstract and Applied Analysis 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/520818.

Full text
Abstract:
We investigate an Oseen two-level stabilized finite-element method based on the local pressure projection for the 2D/3D steady Navier-Stokes equations by the lowest order conforming finite-element pairs (i.e.,Q1−P0andP1−P0). Firstly, in contrast to other stabilized methods, they are parameter free, no calculation of higher-order derivatives and edge-based data structures, implemented at the element level with minimal cost. In addition, the Oseen two-level stabilized method involves solving one small nonlinear Navier-Stokes problem on the coarse mesh with mesh sizeH, a large general Stokes equation on the fine mesh with mesh sizeh=O(H)2. The Oseen two-level stabilized finite-element method provides an approximate solution (uh,ph) with the convergence rate of the same order as the usual stabilized finite-element solutions, which involves solving a large Navier-Stokes problem on a fine mesh with mesh sizeh. Therefore, the method presented in this paper can save a large amount of computational time. Finally, numerical tests confirm the theoretical results. Conclusion can be drawn that the Oseen two-level stabilized finite-element method is simple and efficient for solving the 2D/3D steady Navier-Stokes equations.
APA, Harvard, Vancouver, ISO, and other styles
8

Ervin, Vincent J., Hyesuk K. Lee, and Louis N. Ntasin. "Analysis of the Oseen-viscoelastic fluid flow problem." Journal of Non-Newtonian Fluid Mechanics 127, no. 2-3 (May 2005): 157–68. http://dx.doi.org/10.1016/j.jnnfm.2005.03.006.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Farhloul, Mohamed. "Mixed finite element methods for the Oseen problem." Numerical Algorithms 84, no. 4 (January 24, 2020): 1431–42. http://dx.doi.org/10.1007/s11075-020-00879-9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Wabro, Markus. "Coupled algebraic multigrid methods for the Oseen problem." Computing and Visualization in Science 7, no. 3-4 (October 2004): 141–51. http://dx.doi.org/10.1007/s00791-004-0138-z.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Dissertations / Theses on the topic "Oseen problem"

1

Buckley, Donovan O. "Solution of Nonlinear Transient Heat Transfer Problems." FIU Digital Commons, 2010. http://digitalcommons.fiu.edu/etd/302.

Full text
Abstract:
In the presented thesis work, meshfree method with distance fields was extended to obtain solution of nonlinear transient heat transfer problems. The thesis work involved development and implementation of numerical algorithms, data structure, and software. Numerical and computational properties of the meshfree method with distance fields were investigated. Convergence and accuracy of the methodology was validated by analytical solutions, and solutions produced by commercial FEM software (ANSYS 12.1). The research was focused on nonlinearities caused by temperature-dependent thermal conductivity. The behavior of the developed numerical algorithms was observed for both weak and strong temperature-dependency of thermal conductivity. Oseen and Newton-Kantorovich linearization techniques were applied to linearized the governing equation and boundary conditions. Results of the numerical experiments showed that the meshfree method with distance fields has the potential to produced fast accurate solutions. The method enables all prescribed boundary conditions to be satisfied exactly.
APA, Harvard, Vancouver, ISO, and other styles
2

Zamorano, Aliaga Sebastián Andrés. "Problemas inversos y controlabilidad en modelos de la mecánica de fluidos." Tesis, Universidad de Chile, 2016. http://repositorio.uchile.cl/handle/2250/142561.

Full text
Abstract:
Doctor en Ciencias de la Ingeniería, Mención Modelación Matemática
Esta tesis doctoral está dedicada al estudio de problemas inversos y de control en el área de la mecánica de fluidos. Nos centramos en las ecuaciones de Stokes y de Navier Stokes, tanto sistemas estacionarios como evolutivos, los cuales son bien conocidos para el desarrollo matemático de los flujos viscosos incompresibles. En concreto, se analizaron tres temas principales: Realizamos la estimación del tamaño de una cavidad D inmersa en un dominio acotado Ω ⊂ Rd, d = 2, 3, lleno de un fluido viscoso el cual se rige por el sistema de Stokes, por medio de la velocidad y las fuerzas de Cauchy en la frontera ∂Ω. Más precisamente, establecemos una cota inferior y superior en términos de la diferencia entre las mediciones externas cuando el obstáculo está presente y cuando no lo está. La demostración del resultado se basa en los resultados de regularidad interior y estimaciones cuantitativas de continuación única para la solución del sistema de Stokes. Desarrollamos el estudio del fenómeno del turnpike que surge en el problema de control de seguimiento óptimo distribuido para las ecuaciones de Navier Stokes. Obtenemos una respuesta positiva a esta propiedad en el caso de que los controles son funciones dependientes del tiempo, y también cuando son independientes del tiempo. En ambos casos se prueba una propiedad de turnpike exponencial, bajo el supuesto que el estado óptimo estacionario satisface ciertas propiedades de pequeñez. Consideramos las ecuaciones de Stokes evolutivas con viscosidad no constante. En primer lugar adaptamos la construcción de soluciones del tipo óptica geométrica complejas apropiadas para una ecuación de Stokes estacionaria modificada, con el fin de demostrar un resultado de identificabilidad siguiendo el enfoque dado por Uhlmann [110] y de Heck et al. [62]. Luego, se estudia la identificabilidad global para la función de viscosidad por medio de mediciones de contorno reduciendo el problema al caso estacionario, cuando consideramos el horizonte de tiempo suficientemente grande.
Este trabajo ha sido financiado por CONICYT
APA, Harvard, Vancouver, ISO, and other styles
3

Mba, Abessole Paul. "La traduction du prophete osee de l'hebreu en fang : les problemes de linguistique et d'exegese." Paris 4, 1988. http://www.theses.fr/1988PA040043.

Full text
Abstract:
Notre these "la traduction du prophete osee de l'hebreu en fang: les problemes de linguistique et d'exegese" veut repondre au besoin des communautes chretiennes fang du gabon, du cameroun, de la guinee equatoriale et du congo, d'avoir des traductions bibliques faites a partir des textes originaux: hebreux, arameens et grecs. Cette traduction nous a amene a presenter le peuple fang a partir de ce que des observateurs exterieurs en ont ecrit et de sa tradition orale, a manifester l'identite phonologique et grammaticale de sa langue, a elaborer une theorie de notre pratique - nous entendons par theorie la description de la logique de celle-ci -, a montrer, a partir de 32 exemples, le comment de notre demarche traductologi- que. Ce faisant, nous nous sommes efforce d'etre fidele a la cultu- re et a la foi juives, a la culture fang et a la foi chretienne
My thesis "the translation of the prophet hosea from hebrew into fang language: the linguistic and exegetical problems" wants to meet a need of the fang christian communities in gabon, cameroun, guinee equatoriale and congo, to possess biblical translations made from hebrew, aramaic and greek. This translation has required to present the fang people from what the foreign observers have wrote about him and his oral tradition, to reveal the phonological and grammatical identity of his language, to elaborate a theory from my practice, that is the description of the logic of my practice, to show, with 32 examples, the how of the proceeding of my translation. Translating, i made un effort to be faithful to the hebrew mentality and jewish faith, to the fang mentality and to christian faith
APA, Harvard, Vancouver, ISO, and other styles
4

Meslameni, Mohamed. "Équations de Stokes et d'Oseen en domaine extérieur avec diverses conditions aux limites." Thesis, Pau, 2013. http://www.theses.fr/2013PAUU3002/document.

Full text
Abstract:
On s’intéresse aux équations stationnaires de Navier-Stokes linéarisées, il s'agit ici des équations d'Oseen et des équations de Stokes posées dans des domaines infinis, comme les domaines extérieurs, en dimension trois et l'espace tout entier. Le but est d'étudier l'existence de solutions généralisés et de solutions fortes dans un cadre général non nécessairement hilbertien. On s'intéresse aussi au cas des solutions très faibles. Dans ce travail, on considère aussi bien des conditions aux limites classiques de type Dirichlet que des conditions aux limites non standard portant sur certaines composantes du champ de vitesses, du tourbillon, voir du champ de pression. Les espaces de Sobolev classiques ne sont pas adaptés à l'étude de ces problèmes pour une telle géométrie. Pour une bonne analyse mathématique, nous avons choisi de travailler dans le cadre des espaces de Sobolev avec poids, ce qui permet en particulier de mieux contrôler le comportement à l'infini de la solution
In this work, we study the linearized Navier-Stokes equations in an exterior domain or in the whole space at the steady state, that is, the Stokes equations and the Oseen equations. We give existence, uniqueness and regularity of solutions. The case of very weak solutions is also treated. We consider not only the Dirichlet boundary conditions but also the Non Standard boundary conditions, on some components of the velocity field, vorticity and also on the pressure. Since the domain is not bounded, the classical Sobolev spaces are not adequate. Therefore, a specific functional framework is necessary which also has to take into account the behaviour of the functions at infinity. Our approach rests on the use of weighted Sobolev spaces
APA, Harvard, Vancouver, ISO, and other styles
5

Biswas, Rahul. "Local Projection Stabilization Methods for the Oseen Problem." Thesis, 2022. https://etd.iisc.ac.in/handle/2005/6067.

Full text
Abstract:
Finite element approximation of fluid flow problems with dominant convection exhibit spurious oscillations. To eliminate these nonphysical oscillations one needs to incorporate stabilizations that can curb the effect of convection. The main aim of this thesis is to design and analyse local projection stabilization based finite element schemes for the Oseen problem. In chapter \ref{intro}, we have established a background for the Oseen problem citing its main difficulties and a literature survey. In the thesis, we have predominantly discussed the use of three different finite elements methods, namely, the non-conforming Crouzeix-Raviart (${\rm CR}$) method, the $H(\Hdiv;\Omega)$ conforming Raviart-Thomas (${\rm RT}$) element method and the hybrid high order method. The thesis is divided into four chapters. Chapter \ref{chap1} analyses the edge patchwise local projection (EPLP) stabilized nonconforming finite element methods for the Oseen problem. For approximating the velocity, the lowest-order Crouzeix-Raviart (CR) nonconforming finite element space is considered, whereas for approximating the pressure, two separate discrete spaces are considered, namely, the piecewise constant polynomial space and the lowest-order CR finite element space. The proposed discrete weak formulations are a combination of the standard Galerkin method, EPLP stabilization and weakly imposed boundary condition (Nitsche's technique). We present stability results for both schemes and provide convergence analysis. {\it A~posteriori} error analysis of the edge patch-wise local projection (EPLP) stabilized Crouzeix-Raviart finite element method is developed in chapter \ref{chap2}. The {\it a~posteriori} analysis is based on the approach of Verf\"urth \cite{verfurth_dual_main}. We prove a stability result for the Oseen equation under a dual norm. The stability result gives an equivalence of error and residual which is independent of the discrete formulation. This gives the freedom of using other stabilizations and finite element spaces in the setting of our analysis. Equivalence of error and residual is exploited to formulate an error estimator which is proven to be reliable. Efficiency estimates show a dependence on the diffusion coefficient. In chapter \ref{chap3}, we define a Local projection stabilization (LPS) scheme with the Raviart-Thomas( ${\rm RT}_k$) elements for the oseen problem. We show that a divergence free, pressure robust LPS scheme can be designed with ${\rm RT}_k$ elements of order $k \geq 1$. We also show that stability under the streamline upwind Petrov-Galerkin (SUPG) norm can be achieved if the ${\rm RT}_k$ space is enriched with tangential bubbles. The enriched scheme also gives divergence free velocity. We present {\it a~priori} error estimates for both the schemes. Chapter \ref{chap4} deals with the use of a local projection stabilized Hybrid High-Order scheme for the Oseen problem. We prove an existence-uniqueness result under a SUPG like norm. We derive an optimal order {\it a~priori} error estimate under this norm for equal order polynomial discretization of velocity and pressure spaces. In the last chapter we provide some concluding remarks on the results proved in the thesis and discuss some future problems to work on.
APA, Harvard, Vancouver, ISO, and other styles
6

Zia, Qazi Muhammad Zaigham. "Field and Shape Reconstruction in Fluid Dynamics." Doctoral thesis, 2011. http://hdl.handle.net/11858/00-1735-0000-0006-B3E9-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Klimanis, Nils. "Generic Programming and Algebraic Multigrid for Stabilized Finite Element Methods." Doctoral thesis, 2006. http://hdl.handle.net/11858/00-1735-0000-0006-B38C-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Books on the topic "Oseen problem"

1

Baecker, Dirk. Poker im Osten: Probleme der Transformationsgesellschaft. Berlin: Merve Verlag, 1998.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Die Geburt eines neuen Deutschlands: Chancen und Probleme eines alternativen Neuanfangs im Osten. Berlin: Helle Panke, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

Andreas, Hillgruber. Der Zusammernbruch im Osten 1944/45 als Problem der deutschen Nationalgeschichte und der europäischen Geschichte. Opladen: Westdeutscher Verlag, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Andreas, Hillgruber. Der Zusammenbruch im Osten 1944/45 als Problem der deutschen Nationalgeschichte und der europäischen Geschichte. Opladen: Westdeutscher Verlag, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Bernhard, Müller-Härlin, and Körber-Stiftung, eds. Konfliktmanagement im Mittleren Osten: Regionale Lösungen für regionale Probleme? : 142 Bergedorfer Gesprächskreis, 20.-22. März 2009, Beirut. Hamburg: Edition Körber-Stiftung, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Richard, Breyer, Neubach Helmut 1933-, and Rautenberg Hans-Werner, eds. Deutschland und das Recht auf Selbstbestimmung nach dem Ersten Weltkrieg: Probleme der Volksabstimmungen im Osten (1918-1922). Bonn: Kulturstiftung der Deutschen Vertriebenen, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Offene Worte: Juden, Russen, Polen, Deutsche, Kaukasier und andere im Osten : ihre Eigentümlichkeiten und Probleme, authentische Erzählungen und Berichte. Lübeck: Kommissionsverlag A. Adler, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Versöhnung im Verzug: Probleme des Friedensprozesses im Nahen Osten. Bonn: Bouvier, 1996.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Rothfels, Hans. Bismarck und der Osten: Eine Studie Zum Problem des Deutschen Nationalstaats. de Gruyter GmbH, Walter, 2022.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Morisse, Christoph. Probleme des Unilateralismus Im Nahen Osten - Die Rolle der Usa in der Konfliktregion. GRIN Verlag GmbH, 2009.

Find full text
APA, Harvard, Vancouver, ISO, and other styles

Book chapters on the topic "Oseen problem"

1

Deuring, Paul. "Resolvent Estimates for a Perturbed Oseen Problem." In Functional Analysis and Evolution Equations, 171–86. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7794-6_11.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Galdi, Giovanni P. "On the oseen boundary-value problem in exterior domains." In The Navier-Stokes Equations II — Theory and Numerical Methods, 111–31. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0090337.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Konshin, Igor N., Maxim A. Olshanskii, and Yuri V. Vassilevski. "An Algebraic Solver for the Oseen Problem with Application to Hemodynamics." In Computational Methods in Applied Sciences, 339–57. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-78325-3_18.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Kračmar, S., S. Nečasová, and P. Penel. "Remarks on the Nonhomogeneous Oseen Problem Arising from Modeling of the Fluid Around a Rotating Body." In Hyperbolic Problems: Theory, Numerics, Applications, 775–82. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75712-2_79.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

John, Volker. "The Oseen Equations." In Finite Element Methods for Incompressible Flow Problems, 243–300. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45750-5_5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Ligere, Elena, and Maximilian Antimirov. "Analytical Solution of the Problem on a Magnetohydrodynamic Flow in the Initial Part of a Plane Channel in a Transverse Magnetic Field in Oseen Approximation." In Taming Heterogeneity and Complexity of Embedded Control, 409–18. Newport Beach, CA USA: John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9780470612217.ch23.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Raymond, Jean-Pierre. "A Family of Stabilization Problems for the Oseen Equations." In International Series of Numerical Mathematics, 269–91. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7721-2_12.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Henrich, Christian Johannes. "Strukturelle Probleme des türkischen Politiksystems." In Politik und Gesellschaft im Mittleren Osten, 225–33. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. http://dx.doi.org/10.1007/978-3-658-40644-8_17.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Alkazaz, Aziz. "Probleme der Humankapitalbildung im Nahen Osten unter den Bedingungen der Globalisierung." In Neues Jahrbuch Dritte Welt, 165–80. Wiesbaden: VS Verlag für Sozialwissenschaften, 2004. http://dx.doi.org/10.1007/978-3-663-01328-0_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Hillgruber, Andreas. "Der Zusammenbruch im Osten 1944/45 als Problem der deutschen Nationalgeschichte und der europäischen Geschichte." In Geisteswissenschaften, 5–33. Wiesbaden: VS Verlag für Sozialwissenschaften, 1985. http://dx.doi.org/10.1007/978-3-322-85291-5_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Oseen problem"

1

Rukavishnikov, Viktor A., and Alexey V. Rukavishnikov. "New numerical approach for solving the oseen problem in a convection form in non-convex domain." In INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020). AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0040324.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Jiménez-Lozano, Joel, Mihir Sen, and Patrick Dunn. "A Two-Dimensional Model of Particle Motion in Ureteral Peristaltic Flow." In ASME 2009 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2009. http://dx.doi.org/10.1115/sbc2009-204118.

Full text
Abstract:
Physiological fluids in human or animals are, in general, propelled by the continuous periodic muscular contraction or expansion (or both) of the ducts through which the fluids pass, a phenomenon known as peristalsis. Peristaltic mechanisms may be involved in the swallowing of food through the esophagus, vasomotion of small blood vessels, spermatic flows in the ductus efferentes, embryo transport in the uterus, and transport of urine through the ureters, among others [1]. Peristaltic fluid flow can be accompanied by solid particles. In this work the Basset-Boussinesq-Oseen (BBO) equation will be employed to analyze particle motion in peristaltic fluid flow, this model considers motion of a small spherical particle suspended in a nonuniform fluid flow and diverse forces are considered. In ureteral peristaltic flow, fluid being transported is essentially Newtonian and incompressible. Ureteral peristaltic flow is sometimes accompanied by particles such as stones or bacteria. In the present study, the geometrical form of the peristaltic wave will be taken to be sinusoidal. The governing equations are Navier-Stokes for the fluid and momentum for the particle (BBO equation). A regular perturbation series in which the variables are expanded in a power series of the wavenumber (ε = πRw/λ) is used to solve the fluid problem. One-way coupling between the fluid and particles is assumed.
APA, Harvard, Vancouver, ISO, and other styles
3

Michaelides, Efstathios E. "The Equation of Motion and Energy Equation for Particles: A Historical Perspective (Keynote)." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45711.

Full text
Abstract:
Energy and momentum exchange between spherical particles and a fluid is a fundamental problem that has excited the intellectual curiosity of many scientists for more than two centuries. The development of the energy equation of spherical particles in a fluid can be traced back to the work of Laplace and Fourier that appeared early in the 19th century. It is now little known that Peclet formulated the no-slip condition at a solid boundary, by observing the transfer of heat, approximately ten years before the concept of viscosity was conceived. Towards the middle of the 19th century Poison derived the hydrodynamic force on a sphere in an inviscid fluid and a few years later, Stokes formulated what is now known “the Stokes drag” for the steady-state hydrodynamic force acting on a spherical particle in a viscous fluid. Boussinesq and Basset developed a form for the transient equation of motion of the particles with very low inertia towards the end of the 19th century. The mathematical advances of the early 20th century are reflected in developments in mechanics and on the equation of motion of particles. Oseen and Faxen used asymptotic methods to derive improved our knowledge on the behavior of particles with inertia and in close proximity to boundaries. Experimentation contributed very useful correlations on the hydrodynamic force and the heat transfer from particles. The experimentally derived data helped also in the development of semiempirical equations for the transient hydrodynamic force. Regular and singular perturbation methods have been used more recently to derive expressions for the transient hydrodynamic force and the heat transfer from particles during time-dependent processes, both under creeping flow conditions and at low Reynolds or Peclet numbers. The recent advances on computational methods and the exponential increase in computer power enable us to simulate the motion and energy exchange of groups of particles and complex particle interactions. This presentation gives a historical perspective on the development of our knowledge on particle motion and heat transfer inside a viscous or conducting fluid. Emphasis is given on the exposition of the lesser-known works of the 19th century that have placed the foundation for many concepts and methods that are still used today. The presentation concludes with the most recent contributions of the numerical studies and a short exposition of the voids in our knowledge on energy and momentum exchange processes between particles and a fluid.
APA, Harvard, Vancouver, ISO, and other styles
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography