When heat flow is subject to temperature dependent thermal potential, the associated local temperature field is significantly influenced. This response exhibits interesting effects. This paper examines these effects over a hexagonal plate (fig.2). A linear thermal potential is induced at the boundary and finite element algorithm employed to compute the temperature profiles. A control model is set-up and the outputs from the test model and the control model are examined and compared. Our results show that the temperature field due to the linear potential exhibits artificial heat reservoirs at localized node due to the concentration of the potential. These heat reservoirs are invaluable in the optimum design economy of thermally driven systems.
Keywords: Thermal potential; Control model; Heat reservoir; Finite element algorithm; Thermal interactions
Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 205 – 210