Preface 1. Introduction 1.1 Non-Newtonian Fluids 1.1.1 Non-Newtonian Viscous Behavior 1.1.2 Non-Newtonian Viscoelastic Behavior 1.2 Rheological Models 1.2.1 Non-Newtonian Viscous Behavior in Laminar Flow 1.2.2 Non-Newtonian Viscoelastic Behavior in Laminar Flow 1.2.3 Non-Newtonian Viscous Behavior in Turbulent Flow 1.2.4 Mildly Elastic Drag Reducing Behavior in Turbulent Flow 2. Governing Equations 2.1 Thermal Convection without the presence of porous media 2.2 Thermal Convection in the presence of porous media 2.3 Dimensionless Groups 2.4 Analysis Method 3. Laminar Forced Convection in External Flows of Non-Newtonian Fluids 3.1 Inelastic Power-law Fluids 3.1.1 Vertical Flat Plate and Wedge of an Arbitrary Included Angle 3.1.2 Arbitrary Geometric Configurations 4. Laminar Natural Convection in External Flows of Non-Newtonian Fluids 4.1 Inelastic Power-law Fluids 4.1.1 Vertical Flat Plate 4.1.2 Vertical Slender Cone 4.2 Viscoelastic Fluids 4.2.1 Horizontal Cylinder 5. Laminar Mixed Convection in External Flows of Non-Newtonian Fluids 5.1 Inelastic Power-law Fluids 5.1.1 Vertical Flat Plate 5.1.2 Inclined Flat Plate 5.2 Viscoelastic Fluids 5.2.1 Horizontal Cylinder 6. Criterion for Transition to Turbulence during Natural Convection in External Flows of Non-Newtonian Fluids 6.1 Inelastic Power-law Fluids 6.1.1 Vertical Flat Plate 7. Turbulent Natural Convection in External Flows of Non-Newtonian Fluids 7.1 Inelastic Power-law Fluids 7.1.1 Vertical Flat Plate 7.1.2 Arbitrary Geometric Configurations 7.2 Mildly Elastic Drag Reducing Fluids 7.2.1 Arbitrary Geometric Configurations 8. Turbulent Forced and Mixed Convection in Internal Flows of Non-Newtonian Fluids 8.1 Inelastic Power-law Fluids 8.1.1 Momentum/Heat Transfer Analogy 8.1.2. Vertical Tubes 8.2 Mildly Elastic Drag Reducing Fluids 8.2.1 Momentum/Heat Transfer Analogy 8.2.2 Vertical Tubes 9. Darcy and Non-Darcy Natural, Forced and Mixed Convection in External Flows of Non-Newtonian Fluids-Saturated Porous Media 9.1 Inelastic Power-law Fluids 9.1.1 Vertical Flat Plate 9.2 Elastic Fluids of Constant Viscosity 9.2.1 Vertical Flat Plate 10. Darcy and Non-Darcy Forced Convection in Internal Flows of Non-Newtonian Fluids-Saturated Porous Media 10.1 Inelastic Power-law Fluids 10.1.1 Channel Flow 10.2 Elastic Fluids of Constant Viscosity 10.2.1 Channel Flow 11. Supplemental Miscellaneous Topics 11.1 Laminar Natural Convection Heat Transfer from Vertical Flat Plate to Other Time-Independent Models 11.2 Laminar Thermal Convection Heat Transfer to a Power-Law Fluid from Other Geometrical Surfaces 11.3 Transient Laminar Natural Convection Heat Transfer from Vertical Flat Plate to a Bingham Plastic Fluid 11.4 Laminar Mixed Convection To Power-law Fluids In Horizontal Tubes 11.5 Laminar Mixed Convection To Power-law Fluids In Vertical Tubes 11.6 Flow Stability in Non-Newtonian Fluids In Heated Vertical Pipes 11.7 Thermal Convection in a Horizontal Layer of a Non-Newtonian Fluid 11.8 Pure Darcy Natural Convection From Vertical Flat Plate Embedded In A Porous Medium with a Herschel-Bulkley Fluid 11.9 Pure Darcy Natural Convection From A Point Heat Source Embedded In A Porous Medium with a Power-Law Fluid 11.10 Pure Darcy Natural Convection From A Line Heat Source Embedded In A Porous Medium with a Power-Law Fluid 11.11 Pure Darcy Transient Natural Convection From Vertical Flat Plate Embedded In A Porous Medium with a Power-Law Fluid 11.12 Pure Darcy Transient Natural Convection From Vertical Flat Plate Embedded In A Porous Medium with a Herschel-Bulkley Fluid 11.13 Oscillatory Natural Convection in a Viscoelastic Oldroyd Fluid in Densely Packed Horizontal Porous Layers Nomenclature References Index