Numerical Solution to Transient Heat Flow Problems

1973 ◽  
Vol 41 (4) ◽  
pp. 517-525 ◽  
Author(s):  
Ronald A. Kobiske ◽  
Jeffrey L. Hock
Keyword(s):  
Heat Flow ◽  
Numerical Solution ◽  
Flow Problems ◽  
Transient Heat Flow

RADIAL-AXIAL HEAT FLOW IN REGIONS BOUNDED INTERNALLY BY CIRCULAR CYLINDERS

1953 ◽  
Vol 31 (4) ◽  
pp. 472-479 ◽  
Author(s):  
J. H. Blackwell
Keyword(s):  
Heat Flow ◽  
Integral Transform ◽  
Circular Cylinders ◽  
Flow Problems ◽  
Solution Type ◽  
Transient Heat Flow ◽  
Different Types ◽  
Axial Heat ◽  
Simple Product ◽  
Product Solution

Two radial–axial transient heat flow problems have been solved for regions bounded internally by circular cylinders. They are not of the simple "product-solution" type and it is considered that they may have application in other fields of physics where the Diffusion Equation applies. The problems arose during investigation into "end-effect" in cylindrical thermal-conductivity probes. The solutions are obtained by integral-transform methods, two different types of transform being used in each solution.

Numerical solution of two-dimensional heat-flow problems

AIChE Journal ◽  
1955 ◽  
Vol 1 (4) ◽  
pp. 505-512 ◽  
Author(s):  
Jim Douglas ◽  
D. W. Peaceman
Keyword(s):  
Heat Flow ◽  
Numerical Solution ◽  
Two Dimensional ◽  
Flow Problems

Boundary Integral Methods for Thermoelasticity Problems

1986 ◽  
Vol 53 (2) ◽  
pp. 298-302 ◽  
Author(s):  
S. Sharp ◽  
S. L. Crouch
Keyword(s):  
Heat Flow ◽  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Thermally Induced ◽  
Flow Problems ◽  
Boundary Integral Methods ◽  
Integral Methods ◽  
Transient Heat Flow ◽  
Induced Stresses

The boundary integral method for solving transient heat flow problems is extended to calculate thermally induced stresses and displacements. These results are then corrected by means of an elastostatic solution to satisfy the boundary conditions.

The Solution of Transient Heat-flow Problems by Analogous Electrical Networks

1953 ◽  
Vol 167 (1) ◽  
pp. 275-290 ◽  
Author(s):  
D. I. Lawson ◽  
J. H. McGuire
Keyword(s):  
Heat Conduction ◽  
Heat Flow ◽  
Series Resistance ◽  
Electrical Networks ◽  
Detailed Design ◽  
Flow Problems ◽  
Transient Heat Flow ◽  
Electrical Analogy ◽  
In Series

The design of a machine for solving heat-conduction problems by their electrical analogy with the flow of current in series-resistance, shunt-capacity, networks, is described in this paper. Consideration is given to the representation of cooling by radiation and convection, and the detailed design of the circuits is discussed.

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