Applications of mathematical heat transfer and fluid flow models in engineering and medicine / Abram S. Dorfman.

Format:

Book

Author/Creator:

Dorfman, A. Sh. (Abram Shlemovich), author.

Series:

Wiley-asme press series

Language:

English

Subjects (All):

Heat--Transmission--Mathematical models.

Heat.

Fluid mechanics--Mathematical models.

Fluid mechanics.

Physical Description:

1 online resource (588 pages) : illustrations.

Edition:

1st ed.

Place of Publication:

Chichester, UK ; Hoboken, NJ : John Wiley & Sons, 2017.

Summary:

Applications of mathematical heat transfer and fluid flow models in engineering and medicine Abram S. Dorfman, University of Michigan, USA Engineering and medical applications of cutting-edge heat and flow models This book presents innovative efficient methods in fluid flow and heat transfer developed and widely used over the last fifty years. The analysis is focused on mathematical models which are an essential part of any research effort as they demonstrate the validity of the results obtained. The universality of mathematics allows consideration of engineering and biological problems from one point of view using similar models. In this book, the current situation of applications of modern mathematical models is outlined in three parts. Part I offers in depth coverage of the applications of contemporary conjugate heat transfer models in various industrial and technological processes, from aerospace and nuclear reactors to drying and food processing. In Part II the theory and application of two recently developed models in fluid flow are considered: the similar conjugate model for simulation of biological systems, including flows in human organs, and applications of the latest developments in turbulence simulation by direct solution of Navier-Stokes equations, including flows around aircraft. Part III proposes fundamentals of laminar and turbulent flows and applied mathematics methods. The discussion is complimented by 365 examples selected from a list of 448 cited papers, 239 exercises and 136 commentaries. Key features: Peristaltic flows in normal and pathologic human organs. Modeling flows around aircraft at high Reynolds numbers. Special mathematical exercises allow the reader to complete expressions derivation following directions from the text. Procedure for preliminary choice between conjugate and common simple methods for particular problem solutions. Criterions of conjugation, definition of semi-conjugate solutions. This book is an ideal reference for graduate and post-graduate students and engineers.

Contents:

Cover

Title Page

Copyright

Dedication

Contents

Series Preface

Preface

Acknowledgments

About the Author

Nomenclature

Part I Applications in Conjugate Heat Transfer

Chapter 1 Universal Functions for Nonisothermal and Conjugate Heat Transfer

1.1 Formulation of Conjugate Heat Transfer Problem

1.2 Methods of Conjugation

1.3 Integral Universal Function (Duhamel's Integral)

1.4 Differential Universal Function (Series of Derivatives)

1.5 General Forms of Universal Function

1.6 Coefficients gk and Exponents C1 and C2 for Laminar Flow

1.7 Universal Functions for Turbulent Flow

1.8 Universal Functions for Compressible Low

1.9 Universal Functions for Power-Law Non-Newtonian Fluids

1.10 Universal Functions for Moving Continuous Sheet

1.11 Universal Functions for a Plate with Arbitrary Unsteady Temperature Distribution

1.12 Universal Functions for an Axisymmetric Body

1.13 Inverse Universal Function

1.14 Universal Function for Recovery Factor

Chapter 2 Application of Universal Functions

2.1 The Rate of Conjugate Heat Transfer Intensity

2.2 The General Convective Boundary Conditions

2.3 The Gradient Analogy

2.4 Heat Flux Inversion

2.5 Zero Heat Transfer Surfaces

2.6 Optimization in Heat Transfer Problems

Chapter 3 Application of Conjugate Heat Transfer Models in External and Internal Flows

3.1 External Flows

3.2 Internal Flows-Conjugate Heat Transfer in Pipes and Channels Flows

Chapter 4 Specific Applications of Conjugate Heat Transfer Models

4.1 Heat Exchangers and Finned Surfaces

4.2 Thermal Treatment and Cooling Systems

4.3 Simulation of Industrial Processes

4.4 Technology Processes

Part II Applications in Fluid Flow

Chapter 5 Two Advanced Methods

5.1 Conjugate Models of Peristaltic Flow

5.2 Methods of Turbulence Simulation.

Chapter 6 Applications of Fluid Flow Modern Models

6.1 Applications of Fluid Flow Models in Biology and Medicine

6.2 Application of Fluid Flow Models in Engineering

Part III Foundations of Fluid Flow and Heat Transfer

Chapter 7 Laminar Fluid Flow and Heat Transfer

7.1 Navier-Stokes, Energy, and Mass Transfer Equations

7.2 Initial and Boundary Counditions

7.3 Exact Solutions of Navier-Stokes and Energy Equations

7.4 Cases of Small and Large Reynolds and Peclet Numbers

7.5 Exact Solutions of Boundary Layer Equations

7.6 Approximate Karman-Pohlhausen Integral Method

7.7 Limiting Cases of Prandtl Number

7.8 Natural Convection

Chapter 8 Turbulent Fluid Flow and Heat Transfer

8.1 Transition from Laminar to Turbulent Flow

8.2 Reynolds Averaged Navier-Stokes Equation (RANS)

8.3 Algebraic Models

8.4 One-Equation and Two-Equations Models

Chapter 9 Analytical and Numerical Methods in Fluid Flow and Heat Transfer

9.1 Solutions Using Error Functions

9.2 Method of Separation Variables

9.3 Integral Transforms

9.4 Green's Function Method

9.5 What Method is Proper?

9.6 Approximate Methods for Solving Differential Equations

9.7 Computing Flow and Heat Transfer Characteristics

Chapter 10 Conclusion

References

Author Index

Subject Index

EULA.

Notes:

"This work is a co-publication between ASME Press and John Wiley & Sons, Ltd."

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-119-32071-2

1-119-32074-7

OCLC:

965770985