An inverse method for the estimation of a long-duration surface heat flux on a finite solid

摘要: Abstract The nonlinear inverse heat conduction problem (IHCP) is resolved for the estimation of surface flux from two temperature measurements inside a finite domain. An improvement achieved in this study by optimizing rescaled time used to linearize equation with temperature-dependent thermal properties. A closed-form solution transient derived, considering inhomogeneous boundary conditions. direct further incorporated into sequential technique analysis, and uncertainty respect input parameters obtained. results representative example show that method computationally efficient can be stabilized increasing step size. Thus, effect real on ill-posedness reduced increase sampling rate experiment possible. present useful prediction long-duration engineering.