Liu Hsien-chih. The Differential Equations of Heat Transfer for Some Cases of Variable Thermal Conductivities[J]. Applied Mathematics and Mechanics, 1981, 2(4): 379-385.
 Citation: Liu Hsien-chih. The Differential Equations of Heat Transfer for Some Cases of Variable Thermal Conductivities[J]. Applied Mathematics and Mechanics, 1981, 2(4): 379-385.

# The Differential Equations of Heat Transfer for Some Cases of Variable Thermal Conductivities

• Publish Date: 1981-08-15
• By managing the heat conduction problem in solids the thermal conductivity is usually taken as a constant,but in reality varying thermal conductivity reveals in every heat transfer process, Therefore, in the present paper,we wish to consider it to vary with the space coordinate according to a linear and an ex ponential law; basing on this proposal we have been able to set up six secottd order heat conduction differential equations, By the way,for the case of variable density, specific heat as well as thermal conductivity, we have been successful to deduce other similar six heat transfer differential equations.
•  [1] 刘先志,多层压紧平板具有逐渐改变的导热系数的热传导,应用数学和力学,1981年,第2卷,第2期. [2] Carslaw,H.S.and Jaeger,J.C.,Conduction of Heat in Solids,The Clarendon Press,London(1948). [3] Ingersoll,L.R.,Zobel,C.J.and Ingersoll,A.C.,Heat Conduction with Engineering,Geological and other Applications,Wisconsin Press,U.S.A.(1954).

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