THE METHOD OF THE CARRY OVER OF INTEGRAL-TRANSFORMS IN NONLINEAR MASS AND HEAT-TRANSFER PROBLEMS

A simple approximate method for solving non-linear problems of non-stationary mass and heat transfer is suggested. The method guarantees accurate fulfillment of initial and boundary conditions, often leads to a correct asymptotic at large times and gives an accurate result for linear problems. Non-stationary heat transfer between a wall and a quiescent medium with the thermal conductivity coefficient being arbitrarily dependent on temperature is investigated. Non-stationary problems of mass transfer with volumetric and surface reactions of any order are investigated. © 1990.