Zudin Yuri B. Theory of Periodic Conjugate Heat Transfer

2nd ed. — Springer Heidelberg Dordrecht London New York ,2011, XX, 228 p. — ISBN: 978-3-642-21420-2, e-ISBN: 978-3-642-21421-9, DOI 10.1007/978-3-642-21421-9 — (Mathematical Engineering).Gives a concise theoretical explanation of the theory of heat transfer
Presents a simplified description of the interaction between a solid body and a fluid to design experiments and technology
Displays all related models and theoriesThis book presents the theory of periodic conjugate heat transfer in a detailed way. The effects of thermophysical properties and geometry of a solid body on the commonly used and experimentally determined heat transfer coefficient are analytically presented from a general point of view. The main objective of the book is a simplified description of the interaction between a solid body and a fluid as a boundary value problem of the heat conduction equation for the solid body. At the body surface, the true heat transfer coefficient is composed of two parts: the true mean value resulting from the solution of the steady state heat transfer problem and a periodically variable part, the periodic time and length to describe the oscillatory hydrodynamic effects. The second edition is extended by (i) the analysis of stability boundaries in helium flow at supercritical conditions in a heated channel with respect to the interaction between a solid body and a fluid; (ii) a periodic model and a method of heat transfer simulation in a fluid at supercritical pressure and (iii) a periodic quantum-mechanical model for homogeneous vapor nucleation in a fluid with respect to nanoscale effects.Content Level » Research
Keywords » Reynolds analogy - heat conduction equation - heat transfer coefficient - heat transfer processes book - hydrodynamic stability - numerical modeling of heat transfer -parameters of the thermal effect - quantum-mechanical model of heat transfer - thermophysical properties - thermophysical properties of fluidsRelated subjects » Applied & Technical Physics - Classical Continuum Physics - Computational Intelligence and Complexity - Energy Technology - Mechanical Engineering - Systems, Storage and HarvestingHeat Transfer Processes Containing Periodic Oscillations
Oscillation Internal Structure of Convective Heat Transfer Processes
Problem of Correct Averaging the Heat Transfer Coefficients
Physical Examples
Numerical Modeling of Conjugate Convective–Conductive Heat Transfer
Mechanism of Hydrodynamic Oscillations in a Medium Flowing Over a Body
Van Driest Model
Periodic Model of the Reynolds Analogy
Model of Periodical Contacts
Hydrodynamic HTC
Previous Investigations of Heat Transfer Processes with Periodic Intensity
Analytical MethodsConstruction of a General Solution of the Problem
Boundary Value Problem for the Heat Conduction Equation
Spatial and Temporal Types of Oscillations
Interrelation Between the Two Averaged Coefficients of Heat Transfer
Dimensionless Parameters
Factor of Conjugation (FC): An Analysis of Limiting VariantsSolution of Characteristic Problems
Construction of the General Solution
Harmonic Law of Oscillations
Inverse Harmonic Law of Oscillations
Delta-Like Law of Oscillations
Step Law of Oscillations
Comparative Analysis of the Conjugation Effects (Smooth and Step Oscillations)
Particular Exact SolutionUniversal Algorithm of Computation of the Factor of Conjugation
Smooth Oscillations (Approximate Solutions)
BC on a Heat Transfer Surface (Series Expansion in a Small Parameter)
Derivation of a Computational Algorithm
Phase Shift Between Oscillations
Method of a Small Parameter
Application of the Algorithm for an Arbitrary Law of Oscillations
Filtration Property of the Computational Algorithm
Generalized Parameter of the Thermal Effect
Advantages of the Computational AlgorithmSolution of Special Problems
Complex Case of Heating or Cooling
Heat Transfer on the Surface of a Cylinder
Heat Transfer on the Surface of a Sphere
Parameter of Thermal Effect for Different Geometrical Bodies
Overall ATHTC
Overall EHTC
Bilateral Spatiotemporal Periodicity of Heat Transfer (A Qualitative Analysis)Step and Nonperiodic Oscillations of the Heat Transfer Intensity
Asymmetric Step Oscillations
Nonperiodic OscillationsPractical Applications of the Theory
Model Experiment
Dropwise Condensation
Nucleate Boiling
Theory of Labuntsov
Periodic Model of Nucleate BoilingWall’s Thermal Effect on Hydrodynamic Flow Stability
Flow of a Liquid with Supercritical Parameters in a Heated Channel
Density Wave Instability Phenomena
Scenario of Evolution of the Density Wave Instability
Basic Equations of the Density Wave Instability
Computation of Wall’s Thermal Effect
Analytical Problem SolutionPeriodical Model of Turbulent Heat Transfer
Surface Rejuvenation Model
Investigation of Turbulent Heat Transfer by Means of the Bursting Effect
Variable Thermophysical Properties of Fluid
Method of Relative Correspondence
Integral Methods for Simulation of Heat and Mass Transfer in a Boundary Layer
Differential Equation for the Heat Flux
Exact Solution
Approximate Analytical Solution
Validation of the Method. Laminar Boundary Layer
Supercritical Pressures Region
Thermophysical Properties
Generalization of the ResultsProof of the Fundamental Inequalities
Proof of the First Fundamental Inequality
Proof of the Second Fundamental InequalityFunctions of Thickness
Spatial Type of Oscillations
Temporal Type of OscillationsInfinite Chain Fractions
Fundamental Theorems of Khinchin
Generalization of the Third Theorem of KhinchinProof of Divergence of the Infinite Series
Spatial Type of Oscillations
Temporal Type of OscillationsFunctions of Thickness for Special Problems
Heat Transfer from the Ambience
Heat Transfer from an External Semi-infinite BodyPeriodicity in Nanoscopic ScaleRise Velocity of a Taylor Bubble in a Round Tube
Solutions of Prandtl and Taylor
Correct Approximate Statement of the Problem
Flow in the Vicinity of the Critical Point
Solution by the Method of Collocations
Asymptotical Solution
Plane Taylor Bubble