Conjugate Problems in Convective Heat Transfer

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.

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.

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