Thermal Response of a Thick Circular Plate With Internal Heat Sources in Time Fractional Frame

  • Shivcharan Thakare Research Scholar, Department of Mathematics, SarvodayaMahavidyalaya, Sindewahi, Chandrapur, India
  • M S Warbhe Department of Mathematics, SarvodayaMahavidyalaya, Sindewahi, Chandrapur, India.
Keywords: Temperature distribution, Thermal stresses, Hankel transform, Caputo fractional derivative, circular plate.

Abstract

Present paper investigated the thermoelastic response of an axisymmetric two-dimensional time fractional thermoelastic problem. The order of the problem is 0   2 which occupy the space D{(x, y,z)R3 : 0r b, h z h}. Further, convection type boundaries with heating ( ) ( ) 1 0 Q t  r  r and ( ) ( ) 2 0 Q  t  r  r are applied on the both surfaces respectively, whereas plate is subjected to the action of internal heat is the linear function of temperature. Next, integral transformation techniques are used to calculate temperature, displacement and thermal stresses. The graphical method is used to analyze the properties of Aluminum.

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Published
2022-06-30