Conjugate Problems in Convective Heat Transfer

TLDR: In this paper, an analytical method for the estimation of convective heat transfer from nonisothermal walls is presented. But the method is based on the series of shape parameters and does not consider the effect of the temperature distribution on convection-diffusion and flow.

Abstract: 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