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
Electronic Access:
Full Text
DSP_RESTRICTION_NOTE:
Accessible within UTM campus
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
---|---|---|---|---|---|
Searching... | 30000010184923 | QC320 Z82 2007 | Open Access Book | Book | Searching... |
Searching... | 30000003490285 | QC320 Z82 2007 | Open Access Book | Book | Searching... |
On Order
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
Abbreviations | p. XV |
Symbols | p. XVII |
1 Introduction | p. 1 |
1.1 Heat Transfer Processes Containing Periodic Oscillations | p. 1 |
1.1.1 Oscillation Internal Structure of Convective Heat Transfer Processes | p. 1 |
1.1.2 Problem of Correct Averaging the Heat Transfer Coefficients | p. 3 |
1.2 Physical Examples | p. 6 |
1.3 Numerical Modeling of Conjugate Convective-Conductive Heat Transfer | p. 10 |
1.4 Mechanism of Hydrodynamic Oscillations in a Medium Flowing Over a Body | p. 12 |
1.4.1 Van Driest Model | p. 12 |
1.4.2 Periodic Model of the Reynolds Analogy | p. 13 |
1.4.3 Model of Periodical Contacts | p. 15 |
1.5 Hydrodynamic HTC | p. 18 |
1.6 Previous Investigations of Heat Transfer Processes with Periodic Intensity | p. 20 |
1.7 Analytical Methods | p. 20 |
References | p. 21 |
2 Construction of a General Solution of the Problem | p. 27 |
2.1 Boundary Value Problem for the Heat Conduction Equation | p. 27 |
2.2 Spatial and Temporal Types of Oscillations | p. 30 |
2.3 Interrelation between the Two Averaged Coefficients of Heat Transfer | p. 31 |
2.4 Dimensionless Parameters | p. 34 |
2.5 Factor of Conjugation: An Analysis of Limiting Variants | p. 35 |
References | p. 36 |
3 Solution of Characteristic Problems | p. 37 |
3.1 Construction of the General Solution | p. 37 |
3.2 Harmonic Law of Oscillations | p. 39 |
3.3 Inverse Harmonic Law of Oscillations | p. 43 |
3.4 Delta-Like Law of Oscillations | p. 53 |
3.5 Step Law of Oscillations | p. 55 |
3.6 Comparative Analysis of the Conjugation Effects (Smooth and Step Oscillations) | p. 68 |
3.7 Particular Exact Solution | p. 69 |
References | p. 70 |
4 Universal Algorithm of Computation of the Factor of Conjugation | p. 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 Algorithm | p. 77 |
4.4 Phase Shift Between Oscillations | p. 80 |
4.5 Method of a Small Parameter | p. 83 |
4.6 Application of the Algorithm for an Arbitrary Law of Oscillations | p. 85 |
4.7 Filtration Property of the Computational Algorithm | p. 91 |
4.8 Generalized Parameter of the Thermal Effect | p. 92 |
4.9 Advantages of the Computational Algorithm | p. 93 |
References | p. 93 |
5 Solution of Special Problems | p. 95 |
5.1 Complex Case of Heating or Cooling | p. 95 |
5.2 Heat Transfer on the Surface of a Cylinder | p. 102 |
5.3 Heat Transfer on the Surface of a Sphere | p. 103 |
5.4 Parameter of Thermal Effect for Different Geometrical Bodies | p. 104 |
5.5 Overall ATHTC | p. 105 |
5.5.1 Overall EHTC | p. 105 |
5.5.2 Bilateral Spatiotemporal Periodicity of Heat Transfer (A Qualitative Analysis) | p. 108 |
References | p. 110 |
6 Step and Nonperiodic Oscillations of the Heat Transfer Intensity | p. 111 |
6.1 Asymmetric Step Oscillations | p. 111 |
6.2 Nonperiodic Oscillations | p. 117 |
References | p. 120 |
7 Practical Applications of the Theory | p. 121 |
7.1 Model Experiment | p. 121 |
7.2 Dropwise Condensation | p. 122 |
7.3 Nucleate Boiling | p. 126 |
7.3.1 Theory of Labuntsov | p. 126 |
7.3.2 Periodic Model of Nucleate Boiling | p. 129 |
References | p. 136 |
A Proof of the Fundamental Inequalities | p. 139 |
A.1 Proof of the First Fundamental Inequality | p. 139 |
A.2 Proof of the Second Fundamental Inequality | p. 145 |
B Functions of the Wall Thickness | p. 147 |
B.1 Spatial Type of Oscillations | p. 148 |
B.2 Temporal Type of Oscillations | p. 148 |
C Infinite Chain Fractions | p. 151 |
C.1 Fundamental Theorems of Khinchin | p. 151 |
C.2 Generalization of the Third Theorem of Khinchin | p. 152 |
D Proof of Divergence of the Infinite Series | p. 155 |
D.1 Spatial Type of Oscillations | p. 155 |
D.2 Temporal Type of Oscillations | p. 156 |
E Functions of Thickness for Special Problems | p. 159 |
E.1 Heat Transfer from the Ambience | p. 159 |
E.2 Heat Transfer from an External Semi-Infinite Body | p. 160 |
Index | p. 161 |