Fundamental mechanics of fluids

Author(s)

• Currie, Iain G.

Bibliographic Information

Fundamental mechanics of fluids

I.G. Currie

（Mechanical engineering, 154）

Marcel Dekker, c2003

3rd ed

Note

Includes index

Description and Table of Contents

Description

Retaining the features that made previous editions perennial favorites, Fundamental Mechanics of Fluids, Third Edition illustrates basic equations and strategies used to analyze fluid dynamics, mechanisms, and behavior, and offers solutions to fluid flow dilemmas encountered in common engineering applications. The new edition contains completely reworked line drawings, revised problems, and extended end-of-chapter questions for clarification and expansion of key concepts. Includes appendices summarizing vectors, tensors, complex variables, and governing equations in common coordinate systems Comprehensive in scope and breadth, the Third Edition of Fundamental Mechanics of Fluids discusses: Continuity, mass, momentum, and energy One-, two-, and three-dimensional flows Low Reynolds number solutions Buoyancy-driven flows Boundary layer theory Flow measurement Surface waves Shock waves

Table of Contents

GOVERNING EQUATIONS Basic Conservation Laws . Statistical and Continuum Methods . Eulerian and Lagrangian Coordinates . Material Derivative . Control Volumes . Reynolds' Transport Theorem . Conservation of Mass . Conservation of Momentum . Conservation of Energy . Discussion of Conservation Equations . Rotation and Rate of Shear . Constitutive Equations . Viscosity Coefficients . Navier-Stokes Equations . Energy Equation . Governing Equations for Newtonian Fluids . Boundary Conditions Flow Kinematics . Flow Lines . Circulation and Vorticity . Stream Tubes and Vortex Tubes . Kinematics of Vortex Lines Special Forms of the Governing Equations . Kelvin's Theorem . Bernoulli Equation . Crocco's Equation . Vorticity Equation IDEAL-FLUID FLOW Two-Dimensional Potential Flows . Stream Function . Complex Potential and Complex Velocity . Uniform Flows . Source, Sink, and Vortex Flows . Flow in a Sector . Flow Around a Sharp Edge . Flow Due to a Doublet . Circular Cylinder Without Circulation . Circular Cylinder With Circulation . Blasius' Integral Law . Force and Moment on a Circular Cylinder . Conformal Transformations . Joukowski Transformation . Flow Around Ellipses . Kutta Condition and the Flat-Plate Airfoil . Symmetrical Joukowski Airfoil . Circular-Arc Airfoil . Joukowski Airfoil . Schwarz-Christoffel Transformation . Source in a Channel . Flow Through an Aperture . Flow Past a Vertical Flat Plate Three-Dimensional Potential Flows . Velocity Potential . Stokes' Stream Function . Solution of the Potential Equation . Uniform Flow . Source and Sink . Flow Due to a Doublet . Flow Near a Blunt Nose . Flow Around a Sphere . Line-Distributed Source . Sphere in the Flow Field of a Source . Rankine Solids . D'Alembert's Paradox . Forces Induced by Singularities . Kinetic Energy of a Moving Fluid . Apparent Mass Surface Waves . The General Surface-Wave Problem . Small-Amplitude Plane Waves . Propagation of Surface Waves . Effect of Surface Tension . Shallow-Liquid Waves of Arbitrary Form . Complex Potential for Traveling Waves . Particle Paths for Traveling Waves . Standing Waves . Particle Paths for Standing Waves . Waves in Rectangular Vessels . Waves in Cylindrical Vessels . Propagation of Waves at an Interface VISCOUS FLOWS OF INCOMPRESSIBLE FLUIDS Exact Solutions . Couette Flow . Poiseuille Flow . Flow Between Rotating Cylinders . Stokes' First Problem . Stokes' Second Problem . Pulsating Flow Between Parallel Surfaces . Stagnation-Point Flow . Flow in Convergent and Divergent Channels . Flow Over a Porous Wall Low-Reynolds-Number Solutions . The Stokes Approximation . Uniform Flow . Doublet . Rotlet . Stokeslet . Rotating Sphere in a Fluid . Uniform Flow Past a Sphere . Uniform Flow Past a Circular Cylinder . The Oseen Approximation Boundary Layers . Boundary-Layer Thickness . The Boundary-Layer Equations . Blasius Solution . Falkner-Skan Solutions . Flow Over a Wedge . Stagnation-Point Flow . Flow in a Convergent Channel . Approximate Solution for a Flat Surface . General Momentum Integral . Karman-Pohlhausen Approximation . Boundary-Layer Separation . Stability of Boundary Layers Buoyancy-Driven Flows . The Boussinesq Approximation . Thermal Convection . Boundary-Layer Approximations . Vertical Isothermal Surface . Line Source of Heat . Point Source of Heat . Stability of Horizontal Layers COMPRESSIBLE FLOW OF INVISCID FLUIDS Shock Waves . Propagation of Infinitesimal Disturbances . Propagation of Finite Disturbances . Rankine-Hugoniot Equations . Conditions for Normal Shock Waves . Normal Shock-Wave Equations . Oblique Shock Waves One-Dimensional Flows . Weak Waves . Weak Shock Tubes . Wall Reflection of Waves . Reflection and Refraction at an Interface . Piston Problem . Finite-Strength Shock Tubes . Nonadiabatic Flows . Isentropic-Flow Relations . Flow Through Nozzles Multi-Dimensional Flows . Irrotational Motion . Janzen-Rayleigh Expansion . Small-Perturbation Theory . Pressure Coefficient . Flow Over a Wave-Shaped Wall . Pandtl-Glauert Rule for Subsonic Flow . Ackert's Theory for Supersonic Flows . Prandtl-Meyer Flow Appendix A. Vector Analysis Appendix B. Tensors Appendix C. Governing Equations Appendix D. Complex Variables Appendix E. Thermodynamics Index

by "Nielsen BookData"

Details

• NCID: BA62488126
• ISBN:
  • 0824708865
• LCCN: 2002041221
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York, N.Y.
• Pages/Volumes: xiv, 525 p.
• Size: 24 cm
• Classification:
  • LCC : QA901
  • DC21 : 620.1/06
• Subject Headings:
  • LCSH : Fluid mechanics
• Parent Bibliography ID:
  • BA00246627