Page 11 - Introduction to Continuum Mechanics

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6.17 Dissipation Functions for Newtonian Fluids 383
6.18 Energy Equation for a Newtonian Fluid 384
6.19 Vorticity Vector 387
6.20 Irrotational Flow 390
6.21 Irrotational Flow of an Inviscid, Incompressible Fluid of
Homogeneous Density 391
6.22 Irrotational Flows as Solutions of Navier-Stokes Equation 394
6.23 Vorticity Transport Equation for Incompressible Viscous Fluid
with a Constant Density 396
6.24 Concept of a Boundary Layer 399
6.25 Compressible Newtonian Fluid 401
6.26 Energy Equation in Terms of Enthalpy 402
6.27 Acoustic Wave 404
6.28 Irrotational, Barotropic Flows of Inviscid Compressible Fluid 408
6.29 One-Dimensional Flow of a Compressible Fluid 412
Problems 419

Chapter7 Integral Formulation of General Principles 427
7.1 Green's Theorem 427
7.2 Divergence Theorem 430
7.3 Integrals over a Control Volume and Integrals over a Material Volume 433
7.4 Reynolds Transport Theorem 435
7.5 Principle of Conservation of Mass 437
7.6 Principle of Linear Momentum 440
7.7 Moving Frames 447
7.8 Control Volume Fixed with Respect to a Moving Frame 449
7.9 Principle of Moment of Momentum 451
7.10 Principle of Conservation of Energy 454
Problems 458

Chapter 8 Non-Newtonian Fluids 462
Part A Linear Viscoelastic Fluid 464

8.1 Linear Maxwell Fluid 464
8.2 Generalized Linear Maxwell Fluid with Discrete Relaxation Spectra 471
8.3 Integral Form of the Linear Maxwell Fluid and of the
Generalized Linear Maxwell Fluid with Discrete Relaxation Spectra 473
8.4 Generalized Linear Maxwell Fluid with a Continuous Relaxation Spectrum 474