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Theory of Periodic Conjugate Heat Transfer

Part of the Mathematical Engineering Book Series (volume 5)

DOI: 10.1007/978-3-642-21421-9

ISBN: 978-3-642-21420-2

Publisher: Springer Berlin Heidelberg - Springer Journals

Aug 8, 2011

1 - 9 of 9 Chapters

LitStream

Chapter 1Introduction

Zudin, Yuri B.

Pages: 1 –23

[Real stationary processes of heat transfer, as a rule, can be considered stationary only on the average. Actually (except for the purely laminar cases), flows are always subjected to various periodic, quasi-periodic, and other casual oscillations of velocities, pressure, temperatures, momentum...
LitStream

Chapter 2Construction of a General Solution of the Problem

Zudin, Yuri B.

Pages: 25 –35

[Let us carry out an analytical consideration of a boundary value problem for the two-dimensional transient heat conduction equation [1, 2, 3, 4]. An object of research is a flat plate of the thickness δ, 2.1. In accordance with the basic idea of the present research, on an internal surface of a...
LitStream

Chapter 3Solution of Characteristic Problems

Zudin, Yuri B.

Pages: 37 –72

[The main objective of the analysis presented in this chapter consists in finding solutions allowing calculating the factor of conjugation (FC), whose definition is given by (2.13)[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15]. After substitution of the equations for the temperature...
LitStream

Chapter 4Universal Algorithm of Computation of the Factor of Conjugation

Zudin, Yuri B.

Pages: 73 –94

[The system of equations (3.7)–(3.9) presented in allows in principle determining both all the eigenvalues An, An∗ and the factor of conjugation (FC), which is the key value of the analysis. However, at the same time, the solutions obtained on this basis are very cumbersome (infinite complex...
LitStream

Chapter 5Solution of Special Problems

Zudin, Yuri B.

Pages: 95 –111

[As shown in Sect. 3.6, a dependence of the factor of conjugation (FC) on a wall thickness δ starts to exhibit itself explicitly when the value of δ becomes commensurate with the length scale of periodicity: \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym}...
LitStream

Chapter 6Step and Nonperiodic Oscillations of the Heat Transfer Intensity

Zudin, Yuri B.

Pages: 113 –122

[Three basic characteristic functions ψ(ξ) investigated in Chap. 3 (harmonic, inverse harmonic, and symmetric stepwise) are single parametrical in the sense that their form is unequivocally characterized by the relative amplitude of oscillations b. An essential expansion of the class of the...
LitStream

Chapter 7Practical Applications of the Theory

Zudin, Yuri B.

Pages: 123 –140

[In order to illustrate the influence of thermophysical properties of a solid body on the experimental heat transfer coefficient (EHTC) under conditions where heat transfer intensity is subjected to periodic oscillations, a special model experiment has been designed and carried out. Its purpose...
LitStream

Chapter 8Wall’s Thermal Effect on Hydrodynamic Flow Stability

Zudin, Yuri B.

Pages: 141 –158

[In all the previous chapters, finding the key parameter of the analysis, i.e., the factor of conjugation (FC), was the main objective of the author. To attain it, different mathematical methods were used and successively applied to particular physical problems being of interest for this book.]
LitStream

Chapter 9Periodical Model of Turbulent Heat Transfer

Zudin, Yuri B.

Pages: 159 –179

[This chapter occupies a particular place in the book, whose title itself indicates an involvement in heat transfer problems of the conjugate convective–conductive nature. Unlike the first eight chapters, the ninth chapter is concentrated exclusively on nonconjugate periodic heat transfer. Thus,...

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