1st Edition

Conjugate Problems in Convective Heat Transfer

By Abram S. Dorfman Copyright 2010
    456 Pages 86 B/W Illustrations
    by CRC Press

    456 Pages 86 B/W Illustrations
    by CRC Press

    Illustrates Calculations Using Machine and Technological Processes

    The conjugate heat transfer (CHT) problem addresses the thermal interaction between a body and fluid flowing over or through it. This is an essential consideration in nature and different areas of engineering, including mechanics, aerospace, nuclear engineering, biology, and meteorology. Advanced conjugate modeling of the heat transfer process is now used extensively in a wide range of applications.

    Conjugate Problems in Convective Heat Transfer addresses the latest theory, methods, and applications associated with both analytical and numerical methods of solution CHT problems and their exact and approximate solutions. It demonstrates how the true value of a CHT solution is derived by applying these solutions to contemporary engineering design analysis. Assembling cutting-edge information on modern modeling from more than 200 publications, this book presents more than 100 example applications in thermal treatment materials, machinery operation, and technological processes. Creating a practical review of current CHT development, the author includes methods associated with estimating heat transfer, particularly that from arbitrary non-isothermal surfaces in both laminar and turbulent flows.

    Harnesses the Modeling Power of CHT

    Unique in its consistent compilation and application of current knowledge, this book presents advanced CHT analysis as a powerful tool for modeling various device operations and technological processes, from relatively simple procedures to complex multistage, nonlinear processes.

    Part I: Approximate Solutions

    Analytical Methods for the Estimation of Heat Transfer from Nonisothermal Walls

    Basic Equations

    Self-Similar Solutions of the Boundary Layer Equations

    Solutions of the Boundary Layer Equations in the Power Series

    Integral Methods

    Method of Superposition

    Solutions of the Boundary Layer Equations in the Series of Shape Parameters

     

    Approximate Solutions of Conjugate Problems in Convective Heat Transfer

    Formulation of a Conjugate Problem of Convective Heat Transfer

    The Case of Linear Velocity Distribution across the Thermal Boundary Layer

    The Case of Uniform Velocity Distribution across the Thermal Boundary Layer (Slug Flow)

    Solutions of the Conjugate Convective Heat Transfer Problems in the Power Series

    Solutions of the Conjugate Heat Transfer Problems by Integral Methods

     

    Part II: Theory and Methods

    Heat Transfer from Arbitrary Nonisothermal Surfaces in a Laminar Flow

    The Exact Solution of the Thermal Boundary Layer Equation for an Arbitrary Surface Temperature Distribution

    Generalization for an Arbitrary Velocity Gradient in a Free Stream Flow

    General Form of the Influence Function of the Unheated Zone: Convergence of the Series

    The Exact Solution of the Thermal Boundary Layer Equation for an Arbitrary Surface Heat Flux Distribution

    Temperature Distribution on an Adiabatic Surface in an Impingent Flow

    The Exact Solution of an Unsteady Thermal Boundary Layer Equation for Arbitrary Surface Temperature Distribution

    The Exact Solution of a Thermal Boundary Layer Equation for a Surface with Arbitrary Temperature in a Compressible Flow

    The Exact Solution of a Thermal Boundary Layer Equation for a Moving Continuous Surface with Arbitrary

    Temperature Distribution

    The Other Solution of a Thermal Boundary Layer Equation for an Arbitrary Surface Temperature Distribution

     

    Heat Transfer from Arbitrary Nonisothermal Surfaces in Turbulent Flow

    Basis Relations for the Equilibrium Boundary Layer

    Solution of the Thermal Turbulent Boundary Layer Equation for an Arbitrary Surface Temperature Distribution

    Intensity of Heat Transfer from an Isothermal Surface: Comparison with Experimental Data

    The Effect of the Turbulent Prandtl Number on Heat Transfer on Flat Plates

    Coefficients gk of Heat Flux Series for Nonisothermal Surfaces

    Approximate Relations for Heat Flux in a Transition Regime

     

    General Properties of Nonisothermal and Conjugate Heat Transfer

    The Effect of Temperature Head Distribution on Heat Transfer Intensity

    Gradient Analogy and Reynolds Analogy

    Heat Flux Inversion

    Zero Heat Transfer Surfaces

    Examples of Optimizing Heat Transfer in Flow over Bodies

     

    Analytical Methods for Solving Conjugate Convective Heat Transfer Problems

    A Biot Number as a Criterion of the Conjugate Heat Transfer Rate

    General Boundary Condition for Convective Heat Transfer Problems: Errors Caused by Boundary Condition of the Third Kind

    Reduction of a Conjugate Convective Heat Transfer Problem to an Equivalent Heat Conduction Problem

    Temperature Singularities on the Solid–Fluid Interface

    Universal Functions for Solving Conjugate Heat Transfer Problems — Solution Examples

    Reducing the Unsteady Conjugate Convective Heat Transfer Problem to an Equivalent Heat Conduction Problem

    Integral Transforms and Similar Methods

    Solutions in Asymptotic Series in Eigenfunctions

    Superposition and Other Methods

    Green’s Function and the Method of Perturbation

     

    Numerical Methods for Solving Conjugate Convective Heat Transfer Problems

    Analytical and Numerical Methods

    Approximate Analytical and Numerical Methods for Solving Differential Equations

    Difficulties in Computing Convection-Diffusion and Flow

    Numerical Methods of Conjugation

    Examples of Numerical Studies of the Conjugate Convective Heat Transfer in Pipes and Channels

    Examples of Numerical Studies of the Conjugate Convective Heat Transfer in Flows around and inside Bodies

     

    Part III: Applications

    Thermal Treatment of Materials

    Moving Materials Undergoing Thermal Processing

    Simulation of Industrial Processes

    Drying of Continuous Moving Materials

     

    Technological Processes

    Multiphase and Phase-Change Processes

    Drying and Food Processing

     

    Manufacturing Equipment Operation

    Heat Exchangers and Finned Surfaces

    Cooling Systems

     

    Conclusion

    Biography

    Abram S. Dorfman, Ph.D., graduated from the Moscow Institute of Aviation in 1946, as an Engineer of Aviation Technology. From 1946 to 1947, he worked in the Central Institute of Aviation Motors (ZIAM) in Moscow. From 1947 to 1990, Dr. Dorfman studied fluid mechanics and heat transfer at the Institute of Thermophysics of the Ukrainian Academy of Science in Kiev, first as a junior scientist from 1947 to 1959, then as a senior scientist from 1959 to 1978, and finally as a leading scientist from 1978 to 1990. He earned a Ph.D. with a thesis titled "Theoretical and Experimental Investigation of Supersonic Flows in Nozzles" in 1952. In 1978, he received a Doctor of Science degree, which was the highest scientific degree in the Soviet Union, with a thesis and a book, Heat Transfer in Flows around the Nonisothermal Bodies. From 1978 to 1990, Dr. Dorfman was associate editor of Promyshlennaya Teploteknika, and he was also an adviser to graduate students for many years. In 1990, he emigrated to the United States, where he continues his research as a visiting professor at the University of Michigan in Ann Arbor (since 1996). During this period, he has published several papers in leading American journals. Dr. Dorfman has published more than 130 papers and two books in fluid mechanics and heat transfer. Since 1965, he has been systematically studying conjugate heat transfer.