Inverse estimation of steady‐state surface temperature on a three‐dimensional body

Abstract

This work aims to estimate the unknown surface temperature distribution on the boundary of a heat conducting solid body from temperature measurements taken from another boundary where convective boundary condition is also known. A steady inverse heat conduction problem is described for an arbitrary three‐dimensional body. A gradient‐based inverse method combined with B‐spline function specification is employed to solve the inverse problem. The validity of the proposed method is verified with computational results.