Introduction to Theoretical and Computational Fluid Dynamics
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Book 1
Book 2
Book 3
Home > Mathematics and Science Textbooks > Physics > Classical mechanics > Physics: Fluid mechanics > Introduction to Theoretical and Computational Fluid Dynamics
Introduction to Theoretical and Computational Fluid Dynamics

Introduction to Theoretical and Computational Fluid Dynamics


     0     
5
4
3
2
1



International Edition


X
About the Book

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. This book offers a comprehensive and rigorous introduction to the fundamental principles and equations that govern the kinematics and dynamics of the laminar flow of incompressible Newtonian fluids. It simultaneously illustrates the application of numerical methods to solving a broad range of problems drawn from diverse areas, and discusses the development of pertinent computational algorithms. Topics considered include the description and analysis of flow kinematics; the computation of exact solutions of hydrostatics and hydrodynamics by solving ordinary differential equations; the study and computation of potential flow; the theory and numerical study of flow at low Reynolds numbers, linear hydrodynamic stability, and vortex motion; boundary-integral methods for potential and Stokes flow; and finite-difference methods for the Navier-Stokes equation. An appendix contains a primer of numerical methods that allows for ready reference. 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 source reference 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.

Table of Contents:
Chapter 1: Kinematics of a Flow 1.1: Fluid velocity and motion of fluid parcels 1.2: Lagrangian labels 1.3: Properties of parcels, conservation of mass, and the continuity equation 1.4: Material lines, material vectors, and material surfaces 1.5: Differential geometry of surfaces 1.6: Description of a material surface in Eulerian form 1.7: Streamlines, stream tubes, path lines, and streak lines 1.8: Vorticity, vortex lines, vortex tubes, and circulation around loops 1.9: Line vortices and vortex sheets Chapter 2: Analysis of Kinematics 2.1: Irrotational flows and the velocity potential 2.2: The reciprocal relation for harmonic functions, and Green's functions of Laplace's equation 2.3: Integral representation and further properties of potential flow 2.4: The vector potential for incompressible flow 2.5: Representation of an incompressible flow in terms in the vorticity 2.6: Representation of a flow in terms of the rate of expansion and vorticity 2.7: Stream functions for incompressible flow 2.8: Flow induced by vorticity 2.9: Axisymmetric flow induced by vorticity 2.10: Two-dimensional flow induced by vorticity Chapter 3: Stresses, the Equation of Motion, and the Vorticity Transport Equation 3.1: Forces acting in a fluid, traction, the stress tensor, and the equation of motion 3.2: Constitutive relations for the stress tensor 3.3: Traction, force, torque, energy dissipation, and the reciprocal theorem for incompressible Newtonian fluids 3.4: Navier-Stokes', Euler's and Bernoulli's equation 3.5: Equations and boundary conditions governing the motion of an incompressible Newtonian fluid 3.6: Traction, vorticity, and flow kinematics on rigid boundaries, free surfaces, and fluid interfaces 3.7: Scaling of the Navier-Stokes equation and dynamic similtude 3.8: Evolution of circulation around material loops and dynamics of the vorticity field 3.9: Computation of exact solutions to the equation of motion in two dimensions based in the vorticity transport equation Chapter 4: Hydrostatics 4.1: Pressure distribution within a fluid in rigid body motion 4.2: The Laplace-Young equation 4.3: Two-dimensional interfaces 4.4: Axisymmetric interfaces 4.5: Three-dimensional interfaces Chapter 5: Computing Incompressible Flows 5.1: Steady unidirectional flows 5.2: Unsteady unidirectional flows 5.3: Stagnation-point flows 5.4: Flow due to a rotating disk 5.5: Flow in a corner due to a point source 5.6: Flow due to a point force Chapter 6: Flow at Low Reynolds Numbers 6.1: Equations and fundamental properties of Stokes flow 6.2: Local solutions in corners 6.3: Nearly-unidirectional flows 6.4: Flow due to a point force 6.5: Fundamental solutions of Stokes flow 6.6: Stokes flow past or due to the motion of rigid bodies and liquid drops 6.7: Computation of singularity representations 6.8: The Lorentz reciprocal theorem and its applications 6.9: Boundary integral representation of Stokes flows 6.10: Boundary-integral-equation methods 6.11: Generalized Faxen's relations 6.12: Formulation of two-dimensional Stokes flow in complex variables 6.13: Effects of inertia and Oseen flow 6.14: Unsteady Stokes flow 6.15: Computation of unsteady Stokes flow past or due to the motion of particles Chapter 7: Irrotational Flow 7.1: Equations and computation of irrotational flow 7.2: Flow past or due to the motion of three-dimensional body 7.3: Force and torque exerted on a three-dimensional body 7.4: Flow past or due to the motion of a sphere 7.5: Flow past or due to the motion of non-spherical bodies 7.6: Flow past of due to the motion of two-dimensional bodies 7.7: Computation of two-dimensional flow past or due to the motion of a body 7.8: Formulation of two-dimensional flow in complex variables 7.9: Conformal mapping 7.10: Applications of conformal mapping to flow past two-dimesensional bodies 7.11: The Schwarz-Christoffel transformation and its applications Chapter 8: Boundary Layers 8.1: Boundary-layer theory 8.2: The boundary layer on a semi-infinite flat plate 8.3: Boundary layers in acclerating and decelerating flow 8.4: Computation of boundary layers around two-dimensional bodies 8.5: Boundary layers in axisymmetric and three-dimensional flows 8.6: Unsteady boundary layers Chapter 9: Hydrodynamic Stability 9.1: Evolution equations and forumulation of the linear stability problem 9.2: Solution of the initial-value problem and normal-mode analysis 9.3: Normal-mode analysisof unidirectional flows 9.4: General theorems of the temporal stability of inviscid shear flows 9.5: Stability of a uniform layer subject to spatially periodic disturbances 9.6: Numerical solution of the Orr-Sommerfeld and Rayleigh equations 9.7: Stability of certain classes of unidirectional flows 9.8: Stability of a planar interface in potential flow 9.9: Viscous interfacial flows 9.10: Capillary instability of a curved interface 9.11: Inertial instability of rotating fluids Chapter 10: Boundary-Integral Methods for Potential Flow 10.1: The boundary-integral equation 10.2: Boundary-element methods 10.3: Generalized boundary-integral representations 10.4: The single-layer potential 10.5: The double-layer potential 10.6: Investigation of integral equations of the second kind 10.7: Regularization of integral equations of the second kind 10.8: Completed double-layer representation for exterior flow 10.9: Iterative solution of integral equations of the second kind Chapter 11: Vortex Motion 11.1: Invariants of the motion 11.2: Point vortices 11.3: Vortex blobs 11.4: Two-dimensional vortex sheets 11.5: Two-dimensional flows with distributed vorticity 11.6: Two-dimensional vortex patches 11.7: Axisymmetric flow 11.8: Three-dimensional flow Chapter 12: Finite-Difference Methods for the Convection-Diffusion Equation 12.1: Definitions and procedures 12.2: One-dimensional diffusion 12.3: Diffusion in two and three dimensions 12.4: One-dimensional convection 12.5: Convection in two and three dimensions 12.6: Convection-diffusion in one dimension 12.7: Convection-diffusion in two and three dimensions Chapter 13: Finite-Difference Methods for Incompressible Newtonian Flow 13.1: Methods based on the vorticity transport equation 13.2: Velocity-pressure formulation 13.3: Implementation of methods in primitive variables 13.4: Operator splitting, projection, and pressure-correction methods 13.5: Methods of modified dynamics or false transients Appendix A: Index Notation, Differential Operators, and Theorems of Vector Calculus A.1: Index Notation A.2: Vector and matrix products, differential operators in Cartesian coordinates A.3: Orthogonal curvilinear coordinates A.4: Differential operators in cylindrical and plane polar coordinates A.5: Differential operators in spherical polar coordinates A.6: Integral theorems of vector calculus Appendix B: Primer of Numerical Methods B.1: Linear algebra equations B.2: Computation of eigenvalues B.3: Nonlinear algebraic equations B.4: Function interpolation B.5: Computation of derivatives B.6: Function integration B.7: Function approximation B.8: Integration of ordinary differential equations B.9: Computation of special functions

About the Author :
C. Pozrikidis is Professor of Chemical Engineering at the University of Massachusetts, Amherst.

Review :
"This book can be used for any advanced graduate course in fluid mechanics, independent of academic discipline. It would be an excellent text for applied mathematics or computation science courses. It can also be profitably studied by physics students who are concentrating on electromagnetic theory. Dr. Pozrikidis provides problems requiring analytical solution and he also presents clearly identified problems requiring computer computation."--Johnathan H. Worstell, Staff Research Chemist/Engineer at Shell Development Co., in Chemical Engineering Progress "Excellent text. The material is rigorous and very current. Seems to be well suited to a first-year graduate course in fluid dynamics."--Jeffrey S. Marshall, The University of Iowa "...an interesting addition to the literature for readers whose interests lie on the mathematical or theoretical side of fluid mechanics."--Joel H. Ferziger, Physics Today "There is clearly a great deal of material covered here, and covered well. ...fantastic as a reference...a text that any serious student of fluid dynamics would like to own."--Michael D. Graham, Chemical Engineering Education


Best Sellers


Product Details
  • ISBN-13: 9780195093209
  • Publisher: Oxford University Press Inc
  • Publisher Imprint: Oxford University Press Inc
  • Height: 263 mm
  • No of Pages: 688
  • Spine Width: 43 mm
  • Width: 186 mm
  • ISBN-10: 0195093208
  • Publisher Date: 09 Jan 1997
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Weight: 1365 gr


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Introduction to Theoretical and Computational Fluid Dynamics
Oxford University Press Inc -
Introduction to Theoretical and Computational Fluid Dynamics
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Introduction to Theoretical and Computational Fluid Dynamics

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    Fresh on the Shelf


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!