Inverse Problem of One-Dimensional Unsteady Heat Conduction Deducing Temperature Fluctuation of Inner Wall of Pipe

A one-dimensional transient thermal conduction inverse problem mathematical model is constructed based on the finite difference method（FDM） and the optimization algorithm based on the conjugate gradient method（CGM）.The general calculation program is written in C language,and the temperature fluctuation value of the outer wall surface obtained by the direct heat conduction problem is used as the known condition of the inverse heat conduction problem.And the random measurement error is introduced to investigate the effect of measurement error on the accuracy of the inversion result.The inversion value is compared with the theoretical value of the inner wall surface as the boundary condition.The comparison results show that the inversion value of the internal wall surface is in good agreement with the theoretical value,indicating that the transient thermal conductivity anti-problem model can well inverse the temperature fluctuation value of the inner wall surface.