scholarly journals Discussion: “Transient Heat Conduction in a Rod of Finite Length With Variable Thermal Properties” (Chu, W. H., and Abramson, H. N., 1960, ASME J. Appl. Mech., 27, pp. 617–622)

1961 ◽  
Vol 28 (2) ◽  
pp. 313-313
Author(s):  
G. M. Dusinberre
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Finite Length ◽  
Transient Heat Conduction ◽  
Rod Of Finite Length

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.

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

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.

The Heat-Balance Integral—Further Considerations and Refinements

1961 ◽  
Vol 83 (1) ◽  
pp. 83-85 ◽  
Author(s):  
Theodore R. Goodman
Keyword(s):  
Thermal Properties ◽  
Heat Conduction ◽  
Surface Temperature ◽  
Heat Balance ◽  
Transient Heat Conduction ◽  
Temperature Dependent ◽  
Integral Methods ◽  
Infinite Slab ◽  
The Heat Balance ◽  
Excellent Accuracy

Integral methods have previously been applied to transient heat conduction in a slab with constant thermal properties. In this paper the method is extended so as to include temperature-dependent thermal properties in the analysis. In addition, it is shown how to improve the accuracy of a solution by increasing the order of the polynomial used to represent the temperature profile. For the case of a prescribed step surface temperature in a semi-infinite slab, a quartic profile is shown to give excellent accuracy.

A Closure Model for Transient Heat Conduction in Porous Media

1999 ◽  
Vol 121 (3) ◽  
pp. 733-739 ◽  
Author(s):  
C. T. Hsu
Keyword(s):  
Heat Transfer ◽  
Thermal Properties ◽  
Heat Conduction ◽  
Transient Heat Conduction ◽  
Equation System ◽  
Interfacial Heat Transfer ◽  
Conduction Model ◽  
Average Scheme ◽  
Interfacial Transport ◽  
Closure Relations

Equations governing the transient heat conduction in porous materials consisting of solids and fluids of different thermal properties were derived with a volumetric average scheme under the assumption of nonthermal equilibrium. The derivation leads to a macroscopic two-equation system which requires the closure modeling of new unknown terms due to interfacial transport, namely, the tortuosity term and the interfacial heat transfer term. Closure relations were obtained from the microscopic equations for temperature fluctuation under quasi-steady assumption. The closure coefficients appeared in the closure relations then depend on the media geometry as well as thermal properties. To demonstrate these dependencies, the closure coefficient for the thermal tortuosity is evaluated based on the effective stagnant thermal conductivity model proposed by Hsu et al. (1995) for periodically packed cubes, and the coefficient for interfacial heat transfer based on a quasi-steady heat conduction of dispersed spheres immersed in fluids. The salient features as well as the applicability and limitation of the newly proposed transient heat conduction model were discussed.

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