Theory of Periodic Conjugate Heat Transfer (eBook)

Preface 6
Contents 9
Abbreviations 12
Symbols 13
Greek Letter Symbols 14
Subscripts 15
Definition of Nondimensional Numbers and Groups 15
1 Introduction 16
1.1 Heat Transfer Processes Containing Periodic Oscillations 16
1.2 Physical Examples 21
1.3 Numerical Modeling of Conjugate Convective– Conductive Heat Transfer 25
1.4 Mechanism of Hydrodynamic Oscillations in a Medium Flowing Over a Body 27
1.5 Hydrodynamic HTC 33
1.6 Previous Investigations of Heat Transfer Processes with Periodic Intensity 35
1.7 Analytical Methods 35
References 36
2 Construction of a General Solution of the Problem 41
2.1 Boundary Value Problem for the Heat Conduction Equation 41
2.2 Spatial and Temporal Types of Oscillations 44
2.3 Interrelation between the Two Averaged Coefficients of Heat Transfer 45
2.4 Dimensionless Parameters 48
2.5 Factor of Conjugation: An Analysis of Limiting Variants 49
References 50
3 Solution of Characteristic Problems 51
3.1 Construction of the General Solution 51
3.2 Harmonic Law of Oscillations 53
3.3 Inverse Harmonic Law of Oscillations 57
3.4 Delta-Like Law of Oscillations 67
3.5 Step Law of Oscillations 69
3.6 Comparative Analysis of the Conjugation Effects ( Smooth and Step Oscillations) 82
3.7 Particular Exact Solution 83
References 84
4 Universal Algorithm of Computation of the Factor of Conjugation 86
4.1 Smooth Oscillations (Approximate Solutions) 86
4.2 BC on a Heat Transfer Surface ( Series Expansion in a Small Parameter) 88
4.3 Derivation of a Computational Algorithm 90
4.4 Phase Shift Between Oscillations 93
4.5 Method of a Small Parameter 96
4.6 Application of the Algorithm for an Arbitrary Law of Oscillations 98
4.7 Filtration Property of the Computational Algorithm 104
4.8 Generalized Parameter of the Thermal Effect 105
4.9 Advantages of The Computational Algorithm 106
References 106
5 Solution of Special Problems 108
5.1 Complex Case of Heating or Cooling 108
5.2 Heat Transfer on the Surface of a Cylinder 115
5.3 Heat Transfer on the Surface of a Sphere 116
5.4 Parameter of Thermal Effect for Different Geometrical Bodies 117
5.5 Overall ATHTC 118
References 123
6 Step and NonperiodicOscillations of the Heat Transfer Intensity 124
6.1 Asymmetric Step Oscillations 124
6.2 Nonperiodic Oscillations 130
References 133
7 Practical Applications of the Theory 134
7.1 Model Experiment 134
7.2 Dropwise Condensation 135
7.3 Nucleate Boiling 139
References 149
A Proof of the Fundamental Inequalities 151
A.1 Proof of the First Fundamental Inequality 151
A.2 Proof of the Second Fundamental Inequality 157
B Functions of the Wall Thickness 159
B.1 Spatial Type of Oscillations 160
B.2 Temporal Type of Oscillations 160
C Infinite Chain Fractions 162
C.1 Fundamental Theorems of Khinchin 162
C.2 Generalization of the Third Theorem of Khinchin 163
D Proof of Divergence of the Infinite Series 166
D.1 Spatial Type of Oscillations 166
D.2 Temporal Type of Oscillations 167
E Functions of Thickness for Special Problems 169
E.1 Heat Transfer from the Ambience 169
E.2 Heat Transfer from an External Semi-Infinite Body 170
Index 171