Development of a Moving Finite Element-Based Inverse Heat Conduction Method for Determination of Moving Surface Temperature

A moving finite element-based inverse method for determining the temperature on a moving surface is developed. The moving mesh is generated employing the transfinite mapping technique. The proposed algorithms are used in the estimation of surface temperature on a moving boundary with high velocity in the burning process of a homogenous low thermal diffusivity solid fuel. The measurements obtained inside the solid media are used to circumvent problems associated with sensor and the receding surface. As the surface recedes, the sensors get swept over by the thermal penetration depth. The produced oscillations occurring in certain intervals in the solution is a phenomenon associated with this process. It is shown that the presented method can be used successfully for a wide range of thermal diffusivity coefficients.