Inverse determination of the temperature distribution in the interior of a solid has been an area of interest in recent years. Conventional measurement devices, such as thermocouples or pyrometers, cannot be used to determine the interior temperature, but they can be used to determine the surface temperature. From this surface temperature, the temperature distribution in the interior can be estimated using an inverse method. If the maximum temperature is more than melting point of material then it may result in catastrophic accidents for some particular applications like nuclear fuel rods. Thus, knowledge of the temperature distribution on the interior is important.
In this paper, numerical solution approach involving finite volume method along with MATLAB Optimization Toolbox is used to determine the temperature distribution in the interior of a solid object.