Heat Transfer to Non-Newtonian Fluids Fundamentals and Analytical Expressions

This book has been written with the idea of providing the fundamentals for those who are interested in the field of heat transfer to non-Newtonian fluids. It is well recognized that non-Newtonian fluids are encountered in a number of transport processes and estimation of the heat transfer characteristics in the presence of these fluids requires analysis of equations that are far more complex than those encountered for Newtonian fluids. A deliberate effort has been made to demonstrate the methods of simplification of the complex equations and to put forth analytical expressions for the various heat transfer situations in as vivid a manner as possible. The book covers a broad range of topics from forced, natural and mixed convection without and with porous media. Laminar as well as turbulent flow heat transfer to non-Newtonian fluids have been treated and the criterion for transition from laminar to turbulent flow for natural convection has been established. The heat transfer characteristics of non-Newtonian fluids from inelastic power-law fluids to viscoelastic second-order fluids and mildly elastic drag reducing fluids are covered. This book can serve the needs of undergraduates, graduates and industry personnel from the fields of chemical engineering, material science and engineering, mechanical engineering and polymer engineering.

Aroon Shenoy is President and CEO of SAICO (Arlington, USA) since 2007. After studying chemical engineering at the Indian Institute of Technology (Bombay, India), he received his Ph.D. in Chemical Engineering from the University of Salford (UK) in 1977. Over 25 years, he worked in various capacities in the field of rheology, non-Newtonian fluid mechanics and heat transfer. He conducted research on related topics with university partners in the UK, USA and Japan as well as research institutions and industry. He is author/ co-author of 4 books and more than 125 technical papers.

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