Introduction to Theoretical and Computational Fluid Dynamics

Introduction to Theoretical and Computational Fluid Dynamics

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Description

This book presents a comprehensive and rigorous introduction to the fundamental principles and differential equations that govern the kinematics and dynamics of laminar flow of incompressible Newtonian fluids. Furthermore, it simultaneously illustrates the application of numerical methods to computing a variety of flow variables and solving a broad range of problems, and discusses the development of specific computational algorithms. The numerical procedures are developed from first principles, no experience in Computational Fluid Dynamics and knowledge of terminology is required, and references for specialized topics are provided. The material is intended to be instructive in the classroom and useful as a source reference to advanced undergraduate students, graduate students and researchers in the various fields of engineering, including chemical, mechanical and aerospace engineering, applied mathematics, and computational science. Topics include the computation of stationary interfacial shapes, the derivation of exact solutions to the equation of solving ordinary differential equations, hydrodynamic stability, flow at low Reynolds numer, vortex motion, boundary integral methods for potential and creeping flow, and finite-difference methods.show more

Product details

  • Hardback | 688 pages
  • 168 x 236 x 36mm | 1,161.21g
  • Oxford University Press Inc
  • New York, United States
  • English
  • numerous line figures, tables
  • 0195093208
  • 9780195093209

Back cover copy

Introduction to Theoretical and Computational Fluid Dynamics is the first textbook to combine theoretical and computational aspects of fluid dynamics in a unified and comprehensive treatment. The theoretical developments are carried into the realm of numerical computation, and the numerical procedures are developed from first principles. A unique synthesis of the theoretical and computational aspects of its field, Introduction to Theoretical and Computational Fluid Dynamics serves as an ideal text and reference source for advanced undergraduate students, graduate students, and researchers in the various fields of science and engineering, including mechanical, aeronautical, and chemical engineering, applied mathematics, physics, and computational science. It assumes no prior experience in computational fluid dynamics, and provides references for specialized topics. Each section is followed by theoretical and computer problems that allow the reader to acquire hands-on experience and simultaneously develop insights into the physics of a variety of flows.show more

About C. Pozrikidis

C. Pozrikidis is Professor of Chemical Engineering at the University of Massachusetts, Amherst.show more

Review quote

an interesting paper which will certainly appeal to researchers and engineers working on variational type of solutions for boundary value problems * Zentralblatt fur Mathematik und ihre Grenzgebiete * this is a useful addition to the literature for readers whose interests lie on the mathematical or theoretical side of fluid mechanics * Joel H Ferziger, Stanford University * '... the book is certainly of interest and represents a useful contribution to the available texts specifically addressing the theoretical concepts of laminar incompressible flow of Newtonian fluids. The associated brief reviews of numerical techniques are useful material.' P. Rubinin, Cranfield University, Proceedings of the Institution of Mechanical Engineers, Vol. 211 Part C, 1997 The goal of the author in writing this book is to provide a comprehensive and rigorous introduction to the fundamental concepts and basic equations of fluid dynamics and furthermore, to illustrate the application of numerical methods for solving fundamental and practical problems that involve the flow of incompressible fluids. The book is certainly of interest and represents a useful contribution to the available texts specifically addressing the theoretical concepts of laminar incompressible flow of Newtonian fluids. Cranfield Universityshow more

Table of contents

Preface ; 1. Kinematic structure of a flow ; 2. Kinematic description of a flow ; 3. Stresses, the equation of motion, and vorticity transport ; 4. Hydrostatics ; 5. Computing incompressible flows ; 6. Flow at low Reynolds numbers ; 7. Irrotational flow ; 8. Boundary layers ; 9. Hydrodynamic ; 10. Boundary integral methods for potential flow ; 11. Vortex motion ; 12. Finite-difference methods for incompressible Newtonian flow ; Appendix A Index notation, differential operators, and theorems of vector calculus ; Appendix B Primer of numerical mthods ; Indexshow more

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