African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 246

Full Length Research Paper

Temperature-dependent thermal stress determination of an isotropic circular annular fin

Navneet Kumar*, Warbhe  M. S. and Khobragade N. W.  
Department of Mathematics P.G.T.D. RTM Nagpur University, Nagpur, India.
Email: [email protected]

  •  Accepted: 06 February 2012
  •  Published: 09 March 2012

Abstract

This paper is concerned with an inverse thermoelastic problem in which we need to determine the temperature distribution, unknown temperature gradient, displacement, stress functions and thermal stresses on the outer curved surface of a thin annular fin when the interior heat flux is known. Finite classical Marchi-Zgrablich transform and Laplace transform techniques have been utilized to obtain the solution for the problem. The results are obtained in the form of Marchi-Zgrablich series and depicted graphically.

Key words: Inverse transient problem, circular annular fin, Marchi-Zgrablich and Laplace transform.