Multiscale Mathematical Model of Heat and Mass Transfer in a Thin Vapor Chamber

A mathematical model of a thin vapor chamber is proposed. The model describes the processes of two-phase heat and mass transfer in this chamber on two spatial scales: the microscopic scale of a single cell of the capillary structure of the wick and the macroscopic scale of vapor chamber as a whole....

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics 2023-11, Vol.96 (7), p.1852-1861
Main Authors: Koznacheev, I. A., Malinovskii, A. I., Lyakh, M. Yu, Rabinovich, O. S., Ivanov, D. A.
Format: Article
Language:English
Subjects:
Capillary pressure
Chambers
Classical Mechanics
Complex Systems
Engineering
Engineering Thermodynamics
Flux density
Heat and Mass Transfer
Heat transfer
Heterogeneous structure
Industrial Chemistry/Chemical Engineering
Mass transfer
Mathematical analysis
Mathematical models
Multiscale analysis
Thermodynamics
Vapors
Wicks
Working fluids
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Summary:A mathematical model of a thin vapor chamber is proposed. The model describes the processes of two-phase heat and mass transfer in this chamber on two spatial scales: the microscopic scale of a single cell of the capillary structure of the wick and the macroscopic scale of vapor chamber as a whole. Using the micromodel, the relationships used in a macromodel are obtained that link the local capillary pressure, wick permeability, and the evaporation flux density with the values of temperature, pressure, and degree of filling the wick with the working fluid. Such a multiscale approach was used for numerical study and optimization of the vapor chamber with a wick consisting of micropillars forming a regular hexagonal structure. A fundamental limitation on the width of the vapor core of the chamber is established, which is associated with an increase in the pressure of vapor during its flow in a narrow gap. The dependence of the thermal performance of the vapor chamber on the initial degree of filling the wick with the working fluid has been studied, and the importance of the precision filling of the chamber is shown. The proposed model can be extended by developing and introducing micromodels of new types of wicks, including those with a heterogeneous structure.
ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-023-02855-1