Analysis of the two-dimensional temperature field of a bounded cylinder with a planar internal heat source of constant strength with boundary conditions of the first kind

1970 ◽  
Vol 18 (4) ◽  
pp. 499-503
Author(s):  
V. P. Kozlov ◽  
A. G. Shashkov ◽  
G. M. Volokhov
Keyword(s):  
Temperature Field ◽  
Heat Source ◽  
Boundary Conditions ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Two Dimensional ◽  
Constant Strength

scholarly journals Two-Dimensional Deformation in a Thermoelastic Solid with Microtemperatures Subjected to an Internal Heat Source

2018 ◽  
Vol 23 (1) ◽  
pp. 5-21 ◽  
Author(s):  
P. Ailawalia ◽  
S. Budhiraja ◽  
J. Singh
Keyword(s):  
Heat Source ◽  
Half Space ◽  
Normal Mode Analysis ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Mode Analysis ◽  
Two Dimensional ◽  
Thermoelastic Medium ◽  
Generalized Thermoelastic ◽  
Thermoelastic Solid

AbstractThe purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an internal heat source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an internal heat source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of internal heat source and microtemperatures on the above components has been depicted graphically.

scholarly journals Calculation of temperature field in gas flow with internal heat source

2015 ◽  
Vol 19 (2) ◽  
pp. 735-738 ◽  
Author(s):  
Alexander Gerasimov ◽  
Alexander Kirpichnikov ◽  
Leonid Rachevsky
Keyword(s):  
Temperature Field ◽  
Heat Source ◽  
Gas Flow ◽  
Internal Heat ◽  
Internal Heat Source

scholarly journals Internal Heat Source in Thermoelastic Microelongated Solid Under Green Lindsay Theory

2016 ◽  
Vol 46 (2) ◽  
pp. 65-82 ◽  
Author(s):  
Praveen Ailawalia ◽  
Sunil Kumar ◽  
Devinder Singh Pathania
Keyword(s):  
Heat Source ◽  
Half Space ◽  
Normal Force ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Displacement Component ◽  
Elastic Half Space ◽  
Two Dimensional ◽  
Analytic Expressions ◽  
Gl Theory

Abstract The present study deals with two dimensional deformation, due to internal heat source in a thermoelastic microelongated solid. A mechanical force is applied along the interface of elastic half space and thermoelastic microelongated half space. The problem is in the context of Green Lindsay (GL) theory. The analytic expressions for displacement component, normal force stress, temperature distribution and microelongation have been derived. The effect of internal heat source and microelongation on the derived components have been depicted graphically.

scholarly journals ANALYTICAL SOLUTION OF THE EQUATION OF CONDUCTIVITY FOR VARIOUS BOUNDARY CONDITIONS

2019 ◽  
Vol 2019 (4) ◽  
pp. 33-37
Author(s):  
Vadim Krys'ko ◽  
Olga Saltykova ◽  
Alexey Tebyakin
Keyword(s):  
Analytical Solution ◽  
Finite Difference Method ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Solution Method ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Two Dimensional ◽  
Various Boundary Conditions ◽  
The Finite Difference Method

The aim of the work is to obtain an analytical solution of the heat equation for various boundary conditions in the case of a two-dimensional body. As a solution method, the method of variational iterations is used. In the work, both an analytical and a numerical solution of the problem are obtained for the boundary conditions of various types and taking into account the internal heat source. To obtain a numerical solution, the finite difference method was used. The results are compared and the conclusion is made on the reliability of the decisions.

scholarly journals Temperature distribution in an elliptical body with an internal heat source with partial adiabatic isolation

2021 ◽  
Vol 258 ◽  
pp. 09071
Author(s):  
Alexandr Kanareykin
Keyword(s):  
Temperature Field ◽  
Boundary Conditions ◽  
Hypergeometric Functions ◽  
Heat Dissipation ◽  
Internal Heat ◽  
Internal Heat Source ◽  
Infinite Length ◽  
Elliptical Cross ◽  
The Third ◽  
Elliptic Coordinate

The article calculates the temperature field in an elliptical body with internal heat dissipation. In this case, the boundary conditions are boundary conditions of the third kind. The solution is located at the transition to the elliptic coordinate system. The author has obtained an analytical solution for the distribution of the temperature field in a body with an elliptical cross-section of infinite length with zero ambient temperature with partial adiabatic isolation in the form of a functional series using hypergeometric functions.

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