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"HYPERGEOMETRIC SOLUTION OF TEMPERATURE DISTRIBUTIONPROBLEM WITH VARIABLECONDUCTIVITY", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.8, Issue 1, page no.296-300, January-2021, Available :http://www.jetir.org/papers/JETIR2101039.pdf

• yogesh shukla
• Sanjay Ghai
• sonia shivhare

In this paper,we consider steady state temperature distribution of the skin and subcutaneous tissue region in cylindrical layers of extremities, incorporating the variation of thermal conductivity with depth in the dermis. Also the metabolic heat generation is taken to be inversely proportional to radius vector there. In this section dependence of blood mass flow rate on age has been taken care by means of the equilibration constant defined by A in dermis. It is assumed that the temperature distribution is uniform along θ and z directions and varies along radial direction. An analytic method has been adopted to solve the resulting differential equations coupled with various boundary conditions. The solution in terms of hyper geometric functions have been obtained in this case.

"HYPERGEOMETRIC SOLUTION OF TEMPERATURE DISTRIBUTIONPROBLEM WITH VARIABLECONDUCTIVITY", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.8, Issue 1, page no. pp296-300, January-2021, Available at : http://www.jetir.org/papers/JETIR2101039.pdf