LIMITED OFFER

## Save 50% on book bundles

Immediately download your ebook while waiting for your print delivery. No promo code needed.

Skip to main content# Fluid Mechanics

## Purchase options

## Save 50% on book bundles

## Institutional subscription on ScienceDirect

Request a sales quote### Pijush K. Kundu

### Ira M. Cohen

### David R Dowling

### Jesse Capecelatro

- 7th Edition - August 6, 2024
- Authors: Pijush K. Kundu, Ira M. Cohen, David R Dowling, Jesse Capecelatro
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 8 1 9 8 0 7 - 0
- eBook ISBN:9 7 8 - 0 - 1 2 - 8 1 9 8 0 8 - 7

The classic textbook from Pijush Kundu, Fluid Mechanics, has been once again revised and updated by Dr. David Dowling and Dr. Jesse Capecelatro to better illustrate this important… Read more

LIMITED OFFER

Immediately download your ebook while waiting for your print delivery. No promo code needed.

The classic textbook from Pijush Kundu, Fluid Mechanics, has been once again revised and updated by Dr. David Dowling and Dr. Jesse Capecelatro to better illustrate this important subject for modern students. With expanded topics and concepts presented more clearly in a revised didactic sequence, Fluid Mechanics, Seventh Edition guides students from the fundamentals to the analysis and application of fluid mechanics, including turbulence, gravity waves, compressible flow and such diverse applications as aerodynamics and geophysical fluid mechanics. Its broad and deep coverage, provided by 15 Chapters, 4 Appendices, 144 examples, and 568 exercises, continues to be ideal for both a first or second course in fluid mechanics at the graduate or advanced undergraduate level, and is well-suited to the needs of modern scientists, engineers, mathematicians, and others seeking fluid mechanics knowledge.

As with prior editions, the new edition continues to accommodate the needs of upper-level students who have completed minimal prior study of fluid mechanics

Enriched with 10 new real-world examples and 66 new exercises

Computational worked examples and exercises using MATLAB have been added

For improved clarity and readability much of the text has been re-written and chapter ordering has been revised

Senior undergraduate/graduatestudents in mechanical, civil,aerospace, chemical andbiomedical engineering; seniorundergraduate/graduate studentsin physics, chemistry,meteorology, geophysics, andapplied mathematics;Professional engineers inmechanical, aeronautical &aerospace, civil, chemical,environmental, and biomedicalengineering

- Cover image
- Title page
- Table of Contents
- Copyright
- Dedication
- About the authors
- Preface
- Acknowledgments
- Nomenclature
- Chapter 1: Introduction
- 1.1. Fluid mechanics
- 1.2. Units of measurement
- 1.3. Solids, liquids, and gases
- 1.4. Continuum hypothesis
- 1.5. Molecular transport phenomena
- 1.6. Surface tension
- 1.7. Fluid statics
- 1.8. Classical thermodynamics
- 1.9. Perfect gas
- 1.10. Stability of stratified fluid media
- 1.11. Dimensional analysis
- Exercises
- References
- Further reading
- Chapter 2: Cartesian tensors
- 2.1. Scalars, vectors, tensors, notation
- 2.2. Rotation of axes; formal definition of a vector
- 2.3. Multiplication of matrices
- 2.4. Second-order tensors
- 2.5. Contraction and multiplication
- 2.6. Force on a surface
- 2.7. Kronecker delta and alternating tensor
- 2.8. Vector dot and cross products
- 2.9. Gradient, divergence, and curl
- 2.10. Symmetric and antisymmetric tensors
- 2.11. Eigenvalues and eigenvectors of a symmetric tensor
- 2.12. Gauss' theorem
- 2.13. Stokes' theorem
- Exercises
- References
- Further reading
- Chapter 3: Kinematics
- 3.1. Introduction and coordinate systems
- 3.2. Particle and field descriptions of fluid motion
- 3.3. Flow lines, fluid acceleration, and Galilean transformation
- 3.4. Strain and rotation rates
- 3.5. Kinematics of simple plane flows
- 3.6. Reynolds transport theorem
- Exercises
- References
- Further reading
- Chapter 4: Conservation laws
- 4.1. Introduction
- 4.2. Conservation of mass
- 4.3. Stream functions
- 4.4. Conservation of momentum
- 4.5. Constitutive equation for a Newtonian fluid
- 4.6. Navier-Stokes momentum equation
- 4.7. Noninertial frame of reference
- 4.8. Conservation of energy
- 4.9. Special forms of the equations
- 4.10. Boundary conditions
- 4.11. Dimensionless forms of the equations and dynamic similarity
- Exercises
- References
- Further reading
- Chapter 5: Vorticity dynamics
- 5.1. Introduction
- 5.2. Kelvin's and Helmholtz's theorems
- 5.3. Vorticity equation in an inertial frame of reference
- 5.4. Vorticity equation in a rotating frame of reference
- 5.5. Velocity induced by a vortex filament: law of Biot and Savart
- 5.6. Interaction of vortices
- 5.7. Vortex sheet
- Exercises
- References
- Further reading
- Chapter 6: Ideal flow
- 6.1. Relevance of irrotational constant-density flow theory
- 6.2. Two-dimensional stream function and velocity potential
- 6.3. Construction of elementary flows in two dimensions
- 6.4. Complex potential
- 6.5. Forces on a two-dimensional body
- 6.6. Conformal mapping
- 6.7. Numerical solution techniques in two dimensions
- 6.8. Axisymmetric ideal flow
- 6.9. Three-dimensional potential flow and apparent mass
- 6.10. Concluding remarks
- Exercises
- References
- Further reading
- Chapter 7: Laminar flow
- 7.1. Introduction
- 7.2. Exact solutions for steady incompressible viscous flow
- 7.3. Elementary lubrication theory
- 7.4. Similarity solutions for unsteady incompressible viscous flow
- 7.5. Flows with oscillations
- 7.6. Low Reynolds number viscous flow past a sphere
- 7.7. Final remarks
- Exercises
- References
- Further reading
- Chapter 8: Boundary layers and related topics
- 8.1. Introduction
- 8.2. Boundary-layer thickness definitions
- 8.3. Boundary layer on a flat plate: Blasius solution
- 8.4. Falkner-Skan similarity solutions of the laminar boundary-layer equations
- 8.5. von Karman momentum integral equation
- 8.6. Thwaites' method
- 8.7. Transition, pressure gradients, and boundary-layer separation
- 8.8. Flow past a circular cylinder
- 8.9. Flow past a sphere
- 8.10. Two-dimensional jets
- 8.11. Secondary flows
- Exercises
- References
- Further reading
- Chapter 9: Instability
- 9.1. Introduction
- 9.2. Method of normal modes
- 9.3. Kelvin-Helmholtz instability
- 9.4. Rayleigh-Plateau instability
- 9.5. Thermal instability: the Bénard problem
- 9.6. Double-diffusive instability
- 9.7. Centrifugal instability: Taylor problem
- 9.8. Instability of continuously stratified parallel flows
- 9.9. Squire's theorem and the Orr-Sommerfeld equation
- 9.10. Inviscid stability of parallel flows
- 9.11. Results for parallel and nearly parallel viscous flows
- 9.12. Experimental verification of boundary-layer instability
- 9.13. Comments on nonlinear effects
- 9.14. Transition
- 9.15. Deterministic chaos
- Exercises
- References
- Further reading
- Chapter 10: Turbulence
- 10.1. Introduction
- 10.2. Historical notes
- 10.3. Nomenclature and statistics for turbulent flow
- 10.4. Correlations and spectra
- 10.5. Averaged equations of motion
- 10.6. Homogeneous isotropic turbulence
- 10.7. Turbulent energy cascade and spectrum
- 10.8. Free turbulent shear flows
- 10.9. Wall-bounded turbulent shear flows
- 10.10. Turbulence modeling
- 10.11. Turbulence in a stratified medium
- 10.12. Taylor's theory of turbulent dispersion
- Exercises
- References
- Further reading
- Chapter 11: Gravity waves
- 11.1. Introduction
- 11.2. Linear liquid-surface gravity waves
- 11.3. Influence of surface tension
- 11.4. Standing waves
- 11.5. Group velocity, energy flux, and dispersion
- 11.6. Nonlinear waves in shallow and deep water
- 11.7. Waves on a density interface
- 11.8. Internal waves in a continuously stratified fluid
- Exercises
- References
- Chapter 12: Geophysical fluid dynamics
- 12.1. Introduction
- 12.2. Vertical variation of density in the atmosphere and ocean
- 12.3. Equations of motion for geophysical flows
- 12.4. Geostrophic flow
- 12.5. Ekman layers
- 12.6. Shallow-water equations
- 12.7. Normal modes in a continuously stratified layer
- 12.8. High- and low-frequency regimes in shallow-water equations
- 12.9. Gravity waves with rotation
- 12.10. Kelvin wave
- 12.11. Potential vorticity conservation in shallow-water theory
- 12.12. Internal waves
- 12.13. Rossby wave
- 12.14. Barotropic instability
- 12.15. Baroclinic instability
- 12.16. Geostrophic turbulence
- Exercises
- References
- Further reading
- Chapter 13: Aerodynamics
- 13.1. Introduction
- 13.2. Aircraft terminology
- 13.3. Characteristics of airfoil sections
- 13.4. Conformal transformation for generating airfoil shapes
- 13.5. Lift of a Zhukhovsky airfoil
- 13.6. Elementary lifting line theory for wings of finite span
- 13.7. Lift and drag characteristics of airfoils
- 13.8. Propulsive mechanisms of fishes and birds
- 13.9. Sailing against the wind
- Exercises
- References
- Further reading
- Chapter 14: Compressible flow
- 14.1. Introduction
- 14.2. Acoustics
- 14.3. One-dimensional steady isentropic compressible flow in variable-area ducts
- 14.4. Normal shock waves
- 14.5. Operation of nozzles at different back pressures
- 14.6. Effects of friction and heating in constant-area ducts
- 14.7. One-dimensional unsteady compressible flow in constant-area ducts
- 14.8. Two-dimensional steady compressible flow
- 14.9. Thin-airfoil theory in supersonic flow
- Exercises
- References
- Further reading
- Chapter 15: Computational fluid dynamics
- 15.1. Introduction
- 15.2. The advection-diffusion equation
- 15.3. Incompressible flows in rectangular domains
- 15.4. Flow in complex domains
- 15.5. Velocity-pressure method for compressible flow
- 15.6. More to explore
- Exercises
- References
- Further reading
- Appendix A: Conversion factors, constants, and fluid properties
- A.1. Conversion factors
- A.2. Physical constants
- A.3. Properties of pure water at atmospheric pressure
- A.4. Properties of dry air at atmospheric pressure
- A.5. Properties of standard atmosphere
- Appendix B: Mathematical tools and resources
- B.1. Partial and total differentiation
- B.2. Changing independent variables
- B.3. Basic vector calculus
- B.4. The Dirac delta function
- B.5. Common three-dimensional coordinate systems
- B.6. Equations in curvilinear coordinates
- Appendix C: Founders of modern fluid dynamics
- Ludwig Prandtl (1875–1953)
- Geoffrey Ingram Taylor (1886–1975)
- Further reading
- Appendix D: Visual resources
- Index

- No. of pages: 768
- Language: English
- Edition: 7
- Published: August 6, 2024
- Imprint: Academic Press
- Paperback ISBN: 9780128198070
- eBook ISBN: 9780128198087

PK

Formerly Nova University, USA

Affiliations and expertise

Nova University, U.S.A.(deceased)IC

Formerly University of Pennsylvania, USA.

Affiliations and expertise

University of Pennsylvania, USA (deceased)DD

While in college, David R. Dowling held summer positions at Hughes Aircraft Co. and the Los Angeles Air Force Station. He completed his doctorate in 1988 at Graduate Aeronautical Laboratories of the California Institute of Technology and moved north to Seattle to accomodate his wife's career in medicine. While there, he worked for a year in the laser technology group at Boeing Aerospace, and then for almost three years as a post-doc at the Applied Physics Laboratory of the University of Washington. In 1992, he accepted a faculty position at the University of Michigan. Prof. Dowling is currently conducting research in acoustics and fluid mechanics. He is a fellow of the Acoustical Society of America, a member of the American Society of Mechanical Engineers, and a member of the American Physical Society. He is a US citizen.

Positions at the University of Michigan :

Professor, Sept 2005 to Present

Associate Professor, Sept 1999 thru August 2005

Assistant Professor, Sept 1992 thru August 1999

Visiting Assistant Professor, July 1992 thru August 1992

Affiliations and expertise

Professor, Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USAJC

Jesse Capecelatro was born in White Plains, New York. He earned a BS from the State University of New York Binghamton in 2009, a MS from the University of Colorado Boulder in 2011, and a MS and PhD from Cornell University in 2014, all in Mechanical Engineering. Shortly after that, he worked as a postdoc and research scientist at the Center for Exascale Simulation of Plasma-coupled Combustion (XPACC) at the University of Illinois. He joined the faculty in the Department of Mechanical Engineering at the University of Michigan in 2016, where he has since taught and conducted research in fluid mechanics with an emphasis on computational methods, turbulence, and multiphase flow. He is a recipient of the National Science Foundation CAREER Award, Office of Naval Research Young Investigator Award, and the ASME Pi Tau Sigma Gold Medal Award.

Affiliations and expertise

Mechanical Engineering, University of Michigan, Ann Arbor, MIRead *Fluid Mechanics* on ScienceDirect