Study of a two-dimension transient heat propagation in cylindrical coordinates by means of two finite difference methods

7th International Conference on Advanced Concepts in Mechanical Engineering

Dumencu, A.^1 ; Horbaniuc, B.^1 ; Dumitracu, G.^1

Automotive and Mechanical Engineering Department, Gheorghe Asachi Technical University of Iasi, Iasi, Romania^1

关键词: Actual conditions;    Analytical approach;    Cylindrical coordinates;    Decomposition methods;    Gauss elimination;    Heat propagation;    Implicit techniques;    Time-dependent temperature;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/147/1/012139/pdf
DOI  :  10.1088/1757-899X/147/1/012139

来源: IOP

【 摘 要 】

The analytical approach of unsteady conduction heat transfer under actual conditions represent a very difficult (if not insurmountable) problem due to the issues related to finding analytical solutions for the conduction heat transfer equation. Various techniques have been developed in order to overcome these difficulties, among which the alternate directions method and the decomposition method. Both of them are particularly suited for two-dimension heat propagation. The paper deals with both techniques in order to verify whether the results provided are in good accordance. The studied case consists of a long hollow cylinder, and considers that the time-dependent temperature field varies both in the radial and the axial directions. The implicit technique is used in both methods and involves the simultaneous solving of a set of equations for all of the nodes for each time step successively for each of the two directions. Gauss elimination is used to obtain the solution of the set, representing the nodal temperatures. After using the two techniques the results show a very good agreement, and since the decomposition is easier to use in terms of computer code and running time, this technique seems to be more recommendable.