Author(s): PO Olanrewaju, IO Ogwuche and DD Tamber

Abstract: Temperature profiles within the human head are highly influenced by the geometry and the rate of metabolic heat production. In this research work, we provide an approximate solution to a nonlinear singular boundary value problem modelling the distribution of heat sources in the human head and their dependence on environmental temperature. Our analysis is based on Runge-Kutta method of order four alongside with shooting technique. Graphical results are presented and discussed quantitatively. The model serves as a tool for extrapolating human head temperature profiles. This research work considers graphically the effects of thermogenesis parameter and Biot number on a nonlinear heat condition model of the human head. The results show that the temperature of the human head is influenced by the thermogenesis slope parameters, thermogenesis heat production parameter and the Biot numbers. The results obtained follow previous research works in the literature. The entire work is based on the theorem for the existence and uniqueness of solution with imposed conditions.

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