Transient Heat Conduction Between a Sphere and a Surrounding Medium of Different Thermal Properties

1964 ◽  
Vol 17 (3) ◽  
pp. 420 ◽  
Author(s):  
JR Philip
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Initial Temperature ◽  
Surrounding Medium ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Ice Crystals ◽  
Evaporation Of Droplets

The paper treats the redistribution of heat between a sphere and an infinite medium of different thermal properties and different initial temperature. The problem is relevant to two geophysical questions: the cooling of laccoliths, and the psychrometry of the growth and evaporation of droplets and ice crystals.

scholarly journals Corrigenda

1965 ◽  
Vol 18 (1) ◽  
pp. 99
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Surrounding Medium ◽  
Transient Heat Conduction

Transient heat conduction between a sphere and a surrounding medium of different thermal properties

scholarly journals Corrigenda

1965 ◽  
Vol 18 (4) ◽  
pp. 393
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Surrounding Medium ◽  
Transient Heat Conduction

Transient heat conduction between a sphere and a surrounding medium of different thermal properties. By J. R. Philip. pp. 423-30

Transient Conduction From Parallel Isothermal Cylinders

2012 ◽  
Vol 134 (12) ◽  
Author(s):  
Rajai S. Alassar
Keyword(s):  
Heat Transfer ◽  
Fourier Series ◽  
Heat Conduction ◽  
Energy Equation ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Basis Functions ◽  
Cylindrical Coordinates ◽  
Transient Conduction ◽  
Isothermal Cylinders

The transient heat conduction from two parallel isothermal cylinders is studied using the naturally fit bipolar cylindrical coordinates system. The energy equation is expanded in a Fourier series using appropriate basis functions to eliminate one of the physical coordinates. The resulting modes of the expansion are solved using a finite difference scheme. It is shown that, as is the case with a single isothermal cylinder in an infinite medium, steady states for two isothermal cylinders are not possible and heat transfer changes indefinitely with time.

Transient Heat Conduction in a Rod of Finite Length With Variable Thermal Properties

1960 ◽  
Vol 27 (4) ◽  
pp. 617-622 ◽  
Author(s):  
W. H. Chu ◽  
H. N. Abramson
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Finite Length ◽  
Thermophysical Properties ◽  
Numerical Procedure ◽  
Transient Heat Conduction ◽  
Theoretical Solution ◽  
Rod Of Finite Length

This paper presents a theoretical solution for transient heat conduction in a rod of finite length with variable thermal properties. A numerical procedure is developed and the results of one example are presented and compared with the corresponding solution for the case of constant properties. Application to the problem of determination of thermophysical properties is discussed briefly.

Transient Heat Conduction in Elliptical Plates and Cylinders

1959 ◽  
Vol 81 (1) ◽  
pp. 54-58 ◽  
Author(s):  
E. T. Kirkpatrick ◽  
W. F. Stokey
Keyword(s):  
Heat Conduction ◽  
Temperature Change ◽  
Outer Surface ◽  
Digital Computer ◽  
Numerical Evaluation ◽  
Initial Temperature ◽  
Transient Heat Conduction ◽  
Elliptical Cylinder ◽  
Mathieu Functions ◽  
Sudden Temperature Change

In 1945, N. W. McLachlan published the equations governing the problem of heat conduction in a long elliptical cylinder, including the solution for the case of a cylinder with a uniform initial temperature, subject to a sudden temperature change at the outer surface of the cylinder. This paper describes the numerical evaluation of McLachlan’s solution by the use of a digital computer and includes a table of the necessary zeros of the modified Mathieu functions. Tables of the temperatures in cylinders with eccentricities of 0.6, 0.7, 0.8, and 0.9 are given.

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