期刊名称:International Journal of Computer Science & Technology
印刷版ISSN:2229-4333
电子版ISSN:0976-8491
出版年度:2011
卷号:2
期号:4Ver 3
出版社:Ayushmaan Technologies
摘要:In the present paper, we evaluate an analytic formula for the temperature distribution involving product of two hypergeometric functions of heat conduction problem in a moving medium between x=0 and x=1 (On the x-axis) in the time 0 < t < ∞ that has variable velocity and variable thermal conductivity with prescribed condition when x → 0 and, 0 < t < ∞, first face of the medium follows a law by a known function of time only. Further, we make an extension of the function related to the above obtained temperature distribution formula through introducing Lie group of operators and finally, discuss somecases
关键词:Heat conduction problem in a moving medium; an analytic;formula on temperature distribution involving product of two;hypergeometric functions; Lie group of operators.;MSC (2000): 22E40; 33C05; 33C80; 33C90; 33C99.