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Cover image for Theory of periodic conjugate heat transfer
Title:
Theory of periodic conjugate heat transfer
Personal Author:
Publication Information:
Berlin : Springer, 2007
Physical Description:
xix, 162 p. : ill. ; 24 cm.
ISBN:
9783540707233
General Note:
Also available online version
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Full Text
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30000010184923 QC320 Z82 2007 Open Access Book Book
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30000003490285 QC320 Z82 2007 Open Access Book Book
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Summary

Summary

Here is a new method for calculating heat transfer in coupled convective-conductive fluid-wall systems under periodical intensity oscillations in fluid flow. The true steady state mean value of the heat transfer coefficient must be multiplied by a newly defined coupling factor, which is always smaller than one and depends on the coupling parameters Biot number, Fourier number as well as dimensionless geometry and oscillation parameters. Includes characteristic solved problems, with tables and diagrams.


Table of Contents

Abbreviationsp. XV
Symbolsp. XVII
1 Introductionp. 1
1.1 Heat Transfer Processes Containing Periodic Oscillationsp. 1
1.1.1 Oscillation Internal Structure of Convective Heat Transfer Processesp. 1
1.1.2 Problem of Correct Averaging the Heat Transfer Coefficientsp. 3
1.2 Physical Examplesp. 6
1.3 Numerical Modeling of Conjugate Convective-Conductive Heat Transferp. 10
1.4 Mechanism of Hydrodynamic Oscillations in a Medium Flowing Over a Bodyp. 12
1.4.1 Van Driest Modelp. 12
1.4.2 Periodic Model of the Reynolds Analogyp. 13
1.4.3 Model of Periodical Contactsp. 15
1.5 Hydrodynamic HTCp. 18
1.6 Previous Investigations of Heat Transfer Processes with Periodic Intensityp. 20
1.7 Analytical Methodsp. 20
Referencesp. 21
2 Construction of a General Solution of the Problemp. 27
2.1 Boundary Value Problem for the Heat Conduction Equationp. 27
2.2 Spatial and Temporal Types of Oscillationsp. 30
2.3 Interrelation between the Two Averaged Coefficients of Heat Transferp. 31
2.4 Dimensionless Parametersp. 34
2.5 Factor of Conjugation: An Analysis of Limiting Variantsp. 35
Referencesp. 36
3 Solution of Characteristic Problemsp. 37
3.1 Construction of the General Solutionp. 37
3.2 Harmonic Law of Oscillationsp. 39
3.3 Inverse Harmonic Law of Oscillationsp. 43
3.4 Delta-Like Law of Oscillationsp. 53
3.5 Step Law of Oscillationsp. 55
3.6 Comparative Analysis of the Conjugation Effects (Smooth and Step Oscillations)p. 68
3.7 Particular Exact Solutionp. 69
Referencesp. 70
4 Universal Algorithm of Computation of the Factor of Conjugationp. 73
4.1 Smooth Oscillations (Approximate Solutions)p. 73
4.2 BC on a Heat Transfer Surface (Series Expansion in a Small Parameter)p. 75
4.3 Derivation of a Computational Algorithmp. 77
4.4 Phase Shift Between Oscillationsp. 80
4.5 Method of a Small Parameterp. 83
4.6 Application of the Algorithm for an Arbitrary Law of Oscillationsp. 85
4.7 Filtration Property of the Computational Algorithmp. 91
4.8 Generalized Parameter of the Thermal Effectp. 92
4.9 Advantages of the Computational Algorithmp. 93
Referencesp. 93
5 Solution of Special Problemsp. 95
5.1 Complex Case of Heating or Coolingp. 95
5.2 Heat Transfer on the Surface of a Cylinderp. 102
5.3 Heat Transfer on the Surface of a Spherep. 103
5.4 Parameter of Thermal Effect for Different Geometrical Bodiesp. 104
5.5 Overall ATHTCp. 105
5.5.1 Overall EHTCp. 105
5.5.2 Bilateral Spatiotemporal Periodicity of Heat Transfer (A Qualitative Analysis)p. 108
Referencesp. 110
6 Step and Nonperiodic Oscillations of the Heat Transfer Intensityp. 111
6.1 Asymmetric Step Oscillationsp. 111
6.2 Nonperiodic Oscillationsp. 117
Referencesp. 120
7 Practical Applications of the Theoryp. 121
7.1 Model Experimentp. 121
7.2 Dropwise Condensationp. 122
7.3 Nucleate Boilingp. 126
7.3.1 Theory of Labuntsovp. 126
7.3.2 Periodic Model of Nucleate Boilingp. 129
Referencesp. 136
A Proof of the Fundamental Inequalitiesp. 139
A.1 Proof of the First Fundamental Inequalityp. 139
A.2 Proof of the Second Fundamental Inequalityp. 145
B Functions of the Wall Thicknessp. 147
B.1 Spatial Type of Oscillationsp. 148
B.2 Temporal Type of Oscillationsp. 148
C Infinite Chain Fractionsp. 151
C.1 Fundamental Theorems of Khinchinp. 151
C.2 Generalization of the Third Theorem of Khinchinp. 152
D Proof of Divergence of the Infinite Seriesp. 155
D.1 Spatial Type of Oscillationsp. 155
D.2 Temporal Type of Oscillationsp. 156
E Functions of Thickness for Special Problemsp. 159
E.1 Heat Transfer from the Ambiencep. 159
E.2 Heat Transfer from an External Semi-Infinite Bodyp. 160
Indexp. 161
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