Integral transform “infixing” method for nonlinear transient mass-transfer problems

An approximate method is proposed for solving nonlinear problems of transient mass transfer between a wall and a motionless fluid for an arbitrary concentration dependence of the diffusion coefficient. Nonlinear problems compounded with a volume or surface chemical reaction are investigated.Notation a linear space scale - C concentration - C_s surface concentration on wall - C₀ concentration at initial time - c dimensionless concentration - D diffusion coefficient D=D(C) - j dimensionless diffusion flux onto wall - K_s rate constant of surface chemical reaction - K_v rate constant of volume chemical reaction - t time - X distance from wall Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 55, No. 4, pp. 638–643, October, 1988.