The method of the ‘carry over’ of integral transforms in non-linear mass and heat transfer problems

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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.