Heat transfer in complex-profile channels under different stabilized flow conditions of the medium and system search for higher-accuracy nonstationary temperature fields

Abstract

By means of the double Laplace–Carson transform as integral averaging of the time function decreasing by the exponential law with weight and along a semi-bounded pipe, the nonstationary heat transfer equation under steady-state laminar or turbulent flow conditions is transformed into a boundary-value problem, which is solved by the method of orthogonal projection of the residual, where, as a finite element, the entire bounded domain of variation of elliptic coordinates is taken.