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  • 标题:An Extension of a Heat Conduction Problem in a Moving Medium Through Lie Group Techniques
  • 本地全文:下载
  • 作者:Dr. Hemant Kumar ; Dr. M. A. Pathan ; Shubhi Srivastava
  • 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.
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