Navier-Stokes Equations: Properties, Description and Applications


Editor: R. Younsi (University of Quebec at Chicoutimi, Canada)

Series: Mathematics Research Developments, Physics Research and Technology

It is well known that the Navier–Stokes equations are one of the pillars of fluid mechanics. These equations are useful because they describe the physics of many things of academic and economic interest. They may be used to model the weather behavior, ocean currents, water flow in a pipe and air flow around a wing. The Navier–Stokes equations in their full and simplified forms also help with the design of train, aircraft and cars, the study of blood flow, the design of power stations and pollution analysis. This book presents contributions on the application of Navier-Stokes in some engineering applications and provides a description of how the Navier-Stokes equations can be scaled.

Table of Contents

Chapter 1. Parabolic and Elliptic Partial Difference Equations: Towards a Discrete Solution of Navier-Stokes Equations; pp.
(Rubén A. Hidalgo and Mauricio Godoy Molina, Dep. of Mathematics, Univ. Técnica Federico Santa María, Chile, Dep. of Mathematics, Univ. of Bergen, Norway) pp.1-24

Chapter 2. Numerical Solution of Navier-Stokes Equations in Liquid Metals Under Magnetic Field;
(S. Nouri, S. Hamimid, A. Harkati, M.Guellal, D. Ouadjaout & R. Younsi, Simulation’s Laboratory, UDTS, Algiers, Univ. of Quebec at Chicoutimi, Canada, and others)pp.25-34

Part 2. Marangoni-Natural Convection Liquid Metals In The Presence Of A Tilted Magnetic Field. (S. Hamimid And M. Guellal)pp.35-50

Chapter 3. Use of the Navier-Stokes Equations to Study of the Flow Generated by Turbines Impellers;
(Z. Driss, M.S. Abid, National Engineering School of Sfax, Univ. of Sfax, (LASEM), Tunisia)pp.51-138

Chapter 4. Postinstability Extension of Navier-Stokes Equations ; pp.
(Michail Zak, Jet Propulsion Lab. ,California Instit. of Technology, Reasoning, Model. and Sim. Group, USA)pp.139-176

Chapter 5. Stabilized Finite Element for High Reynolds Number, LES and Free Surface Flow Problems; pp.
(E. Hachem, G. Francois and T. Coupez, Center for Material Forming , MINES ParisTech, France)pp.177-198

Chapter 6. On Solutions of the Navier-Stokes Equations; pp.
(K. Fakhar and A. H. Kara, Math Dept. of Mathematics, Univ. Teknologi Malaysia, Malaysia, School of Mathematics and Centre for Differential Equations, Univ. of the Witwatersrand, Johannesburg, South Africa)pp.199-212

Chapter 7. High Order Navier-Stokes Algorithms for Flows with Shock Discontinuities; pp.213-280
(G. Zha and Y. Shen, Univ. of Miami, USA)

Chapter 8. The Phenomenon of the Effective Viscosity for the Flow in Inhomogeneous Granular Medium; pp.281-306
(A.V. Gavrilov and I.V. Shirko, Moscow Institute of Physics and Technology, Russia)

Chapter 9. Transient Flow of fluids: Some Applications of the Navier-Stokes Equations;pp.307-312
(Z. Ouchiha , A. Ghezal and S.M. Ghiaasiaan, USTHB, physique inst Algeria, t, Georgia Inst.of Techn. Atlanta, USA)

Application A: Transient Flow Of Highly Pressurized Fluids In Pipelines (Z.ouchiha,J.C Loraud A. Ghezal) pp.313-320

Application B: Periodic Flow
(A.ghezal, J.C. Loraud And Z. Ouchiha)pp.321-354

Chapter 10. Fixed Grid Numerical Simulation of a Phase Change Material in a rectangular enclosure heated from one side, pp.355-372
(A. Joulin, Z. Younsi, S. Lassue and L. Zalewski, University of Lille, HEI of Lille, France)

Index pp.373-378

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