UNSTEADY-STATE HEAT TRANSFER INVESTIGATION BY METHODS OF SOLVING THERMAL CONDUCTIVITY REVERSE PROBLEMS

1974 ◽  
Author(s):  
E. Tourilina ◽  
I. T. Aladyev ◽  
K. Voskresensky
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Unsteady State ◽  
State Heat

HEAT TRANSFER PECULIARITIES IN HETEROGENEOUS SYSTEMS WITH HIGH UNSTEADY-STATE HEAT TRANSFER RATES

1970 ◽  
Author(s):  
N.V. Antonishin ◽  
S. S. Zabrodsky ◽  
L.E. Simchenko ◽  
V.V. Lushchikov
Keyword(s):  
Heat Transfer ◽  
Heterogeneous Systems ◽  
Unsteady State ◽  
Transfer Rates ◽  
State Heat

Unsteady state heat transfer in stationary packed beds

1961 ◽  
Vol 16 (1-2) ◽  
pp. 133-134 ◽  
Author(s):  
A. Klinkenberg ◽  
A. Harmens
Keyword(s):  
Heat Transfer ◽  
Packed Beds ◽  
Unsteady State ◽  
State Heat

scholarly journals STEADY-STATE HEAT TRANSFER IN A PLATE WITH TEMPERATURE-DEPENDENT THERMAL CONDUCTIVITY (AN EXACT SOLUTION)

2019 ◽  
Vol 18 (2) ◽  
pp. 85
Author(s):  
A. Miguelis ◽  
R. Pazetto ◽  
R. M. S. Gama
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Steady State ◽  
Transfer Problem ◽  
Internal Heat ◽  
Temperature Dependent ◽  
State Heat ◽  
Kirchhoff Transformation ◽  
Steady State Heat ◽  
Steady State Heat Transfer

This work presents the solution of the steady-state heat transfer problem in a rectangular plate with an internal heat source in a context in which the thermal conductivity depends on the local temperature. This generalization of one of the most classical heat transfer problems is carried out with the aid of the Kirchhoff transformation and employs only well known tools, as the superposition of solutions and the Fourier series. The obtained results illustrate how the usual procedures may be extended for solving more realistic physical problems (since the thermal conductivity of any material is temperature-dependent). A general formula for evaluating the Kirchhoff transformation as well as its inverse is presented too. This work has a strong didactical contribution since such analytical solutions are not found in any classical heat transfer book. In addition, the main idea can be used in a lot of similar problems.

scholarly journals The comparison of a discrete-continuous approach and a method of finite differences in solving the problem of unsteady-state heat and moisture transfer in the building envelope

2021 ◽  
Vol 2131 (5) ◽  
pp. 052073
Author(s):  
Z Zhou ◽  
K P Zubarev
Keyword(s):  
Thermal Conductivity ◽  
Boundary Conditions ◽  
Finite Differences ◽  
Transfer Equation ◽  
Moisture Transfer ◽  
Building Envelope ◽  
Unsteady State ◽  
State Heat ◽  
Continuous Approach ◽  
Moisture Potential

Abstract This article is devoted to the development of methods for calculating heat and humidity regime in the building envelope. The equation of steady-state thermal conductivity with boundary conditions of the third kind and the formula for calculating heat losses of a building based on the heat transfer equation have been considered. The equation of unsteady-state thermal conductivity as well as its solution using the discrete-continual approach has also been studied. The solution of the unsteady-state heat conductivity problem with invariable over time boundary conditions using the discrete-continuous approach was proposed by A.B. Zolotov and P.A. Akimov. The subsequent modernization of the solution was conducted by V.N. Sidorov and S.M. Matskevich. The unsteady-state equation of moisture transfer based on Fick’s second law using the theory of moisture potential is derived. The solution of the unsteady-state moisture transfer equation using the finite difference method according to an explicit difference scheme as well as the solution of the unsteady-state moisture transfer equation using the discrete-continuous approach is demonstrated. To prove the effectiveness of using the discrete-continuous approach in the area of the unsteady-state humidity conditions we compared the calculation results of the distribution of moisture in a single-layer enclosing structure made of aerated concrete using two methods of moisture potential theory. It was found that the difference in the results of calculation by the discrete-continual formula and by the method of finite differences does not exceed 3.2%.

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