Viscous Fluid Flow ISE 4th Edition By Frank M. White
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Viscous Fluid Flow ISE 4th Edition By Frank M. White

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544
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16.95 MB
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About this ebook
The textbook Viscous Fluid Flow (4th Edition) by Frank M. White and co-author Joseph Majdalani keeps the highly acclaimed seven-chapter format. It covers advanced mathematical fluid dynamics, focusing heavily on the physical mechanisms and governing equations of viscous fluid movement. [1, 2]
The structural breakdown of all topics covered across its seven chapters includes:
Chapter 1: Preliminary Concepts
  • Fluid properties: Density, viscosity, thermal conductivity, and specific heat.
  • Constitutive equations: Stress-deformation relations for Newtonian and non-Newtonian fluids.
  • Diffusion mechanics: Mass diffusivity and engineering applications of Fick's Law.
  • Boundary conditions: No-slip conditions, free-surface interfaces, and thermodynamic matching. [1]
Chapter 2: Fundamental Equations of Compressible Viscous Flow
  • Conservation laws: Mathematical formulations of mass continuity, linear momentum, and energy conservation.
  • Navier-Stokes equations: Complete derivation and structural classification into hyperbolic, parabolic, or elliptic states.
  • Dimensionless parameters: Spatial scaling, coordinate transformations, and Reynolds number definitions. []
Chapter 3: Solutions of the Newtonian Viscous Flow Equations
  • Exact solutions: Couette flow, Poiseuille flow, and asymptotic pipe/channel configurations.
  • Unsteady flows: Oscillatory and pulsatory flow developments within porous channels and tubes.
  • Special limitations: Clarification of the Stokes paradox alongside Computational Fluid Dynamics (CFD) setups. [, 2, 3]
Chapter 4: Laminar Boundary Layers
  • Blasius solution: Flat-plate boundary layer characteristics and skin friction formulations.
  • Momentum-integral methods: Karman’s integral approach using advanced polynomial approximations.
  • Flow separation: Analysis of pressure gradients, thermal effect couplings, and Pohlhausen’s paradox. [1]
Chapter 5: The Stability of Laminar Flows
  • Linear stability theory: Small perturbation mechanics and the derivation of the Orr-Sommerfeld equation.
  • Biglobal stability: Expanded two-dimensional stability mapping for incompressible and compressible regimes.
  • Transition physics: Wind-wave Kelvin-Helmholtz instabilities and profiles influenced by boundary injection. [, 2]
Chapter 6: Incompressible Turbulent Mean Flow
  • Statistical modeling: Reynolds-averaged Navier-Stokes (RANS) framing and turbulent shear stresses.
  • Wall boundary laws: The logarithmic law of the wall and the power-law overlap layer dispute.
  • Simulations: Direct Numerical Simulation (DNS) benchmarks and momentum-integral engineering models. []
Chapter 7: Compressible Boundary Layer Flow
  • High-speed impacts: Isentropic relation inversions bypassing the need for iteration tables.
  • Thermal interactions: Shock wave-boundary layer interference, stagnation point heating, and recovery factors.
  • Corrections: Two-dimensional expansions using Rayleigh-Janzen methods alongside porous Taylor-Culick flow profiles. []

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Topics

Blasius solution Momentum-integral methods Flow separation Compressible Boundary Layer Flow Conservation laws: Mathematical formulations of mass continuity Dimensionless parameters: Spatial scaling coordinate transformations Exact solutions: Couette flow Poiseuille flow Fluid properties Constitutive equations Diffusion mechanics Boundary conditions Fundamental Equations of Compressible Viscous Flow High-speed impacts: Isentropic relation inversions Incompressible Turbulent Mean Flow Laminar Boundary Layers Linear stability theor Biglobal stability Transition physics Navier-Stokes equations: Complete derivation and structural classification pecial limitations: Clarification of the Stokes paradox Solutions of the Newtonian Viscous-Flow Equations Statistical modeling: Reynolds-averaged Navier-Stokes (RANS) The Stability of Laminar Flows Thermal interactions: Shock wave-boundary layer interference Unsteady flows: Oscillatory and pulsatory flow developments Wall boundary laws: The logarithmic law
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