| Description |
1 online resource (456 pages) |
| 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 |
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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 |
| 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 |
| Notes |
Applications of Fluid Flow Modern Models 251 6.1 Applications of Fluid Flow Models in Biology and Medicine 251 6.1.1 Blood Flow in Normal and Pathologic Vessels 251 6.1.2 Abnormal Flows in Disordered Human Organs 261 6.1.3 Simulation of Biological Transport Processes 267 6.2 Application of Fluid Flow Models in Engineering 273 6.2.1 Application of Peristaltic Flow Models 273 6.2.2 Applications of Direct Simulation of Turbulence 278 Part III FOUNDATIONS OF FLUID FLOW AND HEAT TRANSFER 7 Laminar Fluid Flow and Heat Transfer 295 7.1 Navier-Stokes, Energy, and Mass Transfer Equations 295 7.1.1 Two Types of Transport Mechanism: Analogy Between Transfer Processes 295 7.1.2 Different Forms of Navier-Stokes, Energy, |
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315 7.5.2 Self-Similar Flows of Dynamic and Thermal Boundary Layers 319 7.6 Approximate Karman-Pohlhausen Integral Method 320 7.6.1 Approximate Friction and Heat Transfer on a Flat Plate 320 7.6.2 Flows with Pressure Gradients 322 7.7 Limiting Cases of Prandtl Number 323 7.8 Natural Convection 324 8 Turbulent Fluid Flow and Heat Transfer 327 8.1 Transition from Laminar to Turbulent Flow 327 8.2 Reynolds Averaged Navier-Stokes Equation (RANS) 328 8.2.1 Some Physical Aspects 328 <i |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Technology.
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Technology
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TECHNOLOGY & ENGINEERING -- Drafting & Mechanical Drawing.
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Technology
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| Form |
Electronic book
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| ISBN |
9781119320746 |
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1119320747 |
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