Laminar Viscous Flow (Hardcover, 1995)

1 Properties of Fluids.- 1.1. Physical Properties of Fluids.- 1.1.1. Liquids.- 1.1.2. Gases.- 1.1.3. Thermodynamic Notions.- 1.2. Transfer Properties.- 1.2.1. Viscosity.- 1.2.2. Thermal Conductivity.- 1.2.3. Fluid Mixtures. Mass Transfer.- 1.2.4. Non-Newtonian Media.- 2 Fundamental Equations of Viscous Flow.- 2.1. Kinematics of Fluid Flow.- 2.1.1. Lagrangian and Eulerian Descriptions.- 2.1.2. Strain Rates.- 2.1.3. Circulation. Stokes' Theorem.- 2.2. Equations of Motion.- 2.2.1. Continuity Equation.- 2.2.2. The Equations of Motion in Stresses.- 2.2.3. The Constitutive Relation for a Newtonian Fluid.- 2.2.4. Remarks on the Second Coefficient of Viscosity.- 2.2.5. Navier-Stokes Equations.- 2.2.6. Noninertial Coordinate System.- 2.3. The Energy Equation.- 2.3.1. Energy Balance for a Fluid Particle.- 2.3.2. Energy Equation for Incompressible Fluids.- 2.3.3. Energy Equation for Compressible Fluids.- 2.4 Orthogonal Curvilinear Coordinate Systems.- 2.4.1. Cylindrical Coordinates.- 2.4.2. Spherical Coordinates.- 3 Basic Equations and Flow Pattern.- 3.1. Posing the Problem of Fluid Flow.- 3.1.1. Assumptions Involved and Mathematical Character of the Basic Equations.- 3.1.2. Initial and Boundary Conditions.- 3.2. Dimensionless Parameters in Viscous Fluid Flow.- 3.2.1. Dimensionless Parameters in Navier-Stokes Equations.- 3.2.2. Dimensionless Parameters in the Energy Equation.- 3.3. Viscous Flow Pattern.- 3.3.1. Pure Viscous Flow.- 3.3.2. Visco-inertial Flow.- 3.3.3. The Boundary'Layer Concept.- 3.4. Other Forms of the Basic Equations.- 3.4.1. The Conservative (Eulerian) Form of the Basic Equations.- 3.4.2. The Equation for Vorticity.- 3.4.3. Two-Dimensional Row.- 3.4.4. Integral Relations (Control Volume Formulation).- 4 Steady Parallel Flow of Incompressible Fluids.- 4.1. Plane Parallel Flow.- 4.1.1. Couette Flow.- 4.1.2. Channel (Poiseuille) Flow.- 4.1.3. Open Channel Flow.- 4.1.4. Combined Couette-Poiseuille Flow.- 4.2. General Couette Flow.- 4.2.1 Two Circular Cylinders.- 4.2.2. Translation of a Semiplane in a Channel.- 4.3. Duct Flow.- 4.3.1. Circular Pipe.- 4.3.2. Ducts of Various Cross Sections.- 4.3.3. Hydraulic Radius.- 4.3.4. Analysis of a System of Ducts.- 4.4. Steady Parallel Flow of Viscoplastic Media.- 4.4.1. Plane Parallel Flow.- 4.4.2. Circular Duct.- 4.5. Influence of Porous Surfaces.- 4.5.1. Quasi-Parallel Flow.- 4.5.2. Channel and Duct Flow.- 5 Other Solutions of Navier-Stokes Equations (Steady Incompressible Flow).- 5.1. Flow upon Concentric Circles.- 5.1.1. Coaxial Rotating Cylinders.- 5.1.2. Particular Cases (Vortex).- 5.2. Motions upon Concurrent Lines.- 5.2.1. Motion between Two Nonparallel Walls.- 5.2.2. Approximate Solutions.- 5.3. Self-Similar Solutions.- 5.3.1. Flow Near a Stagnation Point.- 5.3.2. Flow Near a Rotating Disk.- 5.3.3. Fluid Rotation Near a Plane.- 5.4. Other Solutions.- 5.4.1. Solutions for the Stream Function.- 5.4.2. Pseudo-Plane Motions (Noninertial Coordinates).- 6 Unsteady Viscous Incompressible Flow.- 6.1. Parallel Unsteady Flow.- 6.1.1. General Remarks.- 6.1.2. Plane Unsteady Parallel Flow.- 6.1.3. Examples of Unsteady Parallel Flows.- 6.1.4. Parallel Axisymmetric Row in Ducts.- 6.2. Other Unsteady Motions.- 6.2.1. Unsteady Flow upon Concentric Circles.- 6.2.2. Plane Unsteady Flow.- 6.2.3. Three-Dimensional Unsteady Row.- 7 Thermal Effects in Incompressible Flow.- 7.1. Thermal Effects in Plane Couette Flow.- 7.1.1. Constant Wall Temperature.- 7.1.2. Adiabatic Wall.- 7.1.3. Variable Viscosity.- 7.1.4. Forced Heat Transfer in Slow Motion.- 7.2. Temperature Field in Flow Near Walls.- 7.2.1. Poiseuille Flow with Constant Viscosity.- 7.2.2. Couette-Poiseuille Flow.- 7.2.3. Free Convection between Parallel Walls.- 7.2.4. Temperature Field in Flow between Nonparallel Walls.- 7.2.5. Temperature Field in Flow between Coaxial Rotating Cylinders.- 7.2.6. Temperature Field Near a Stagnation Point.- 7.3. Temperature Field in Duct Flow.- 7.3.1. Influence of Dissipation.- 7.3.2. Circular Pipes.- 7.3