عنوان مقاله [English]
In this research, a new analytical solution of one dimensional coupled equations of moisture and heat transfer in capillary-porous body is presented. These equations are known as the Luikov system of equations. These partial differential equations are coupled and nonhomogenous, which is assumed linearly with the assumption that the coefficients of the equations are independent of space, time, and every dependent variables.
In innovative method of this survey, considering the governing equations are coupled, at first , assuming that the independent equations system from each other (removal coupling), it has been resulted a public answer for equations by using the method of separation of variables. Next, the private answers will be gotten by considering coupled equations and using laplace transform method, in this survey it has been searched the effect of dimensionless coefficients such as Lu, Fo, ε concluding on the rate of heat and moisture transfer. The outcome shows the effect of Luikov number on the rate of heat and moisture transfer of capillary-porous body equations coupling. It has also been resulted the depending of phase change coefficient and this outcome has been planned in the surveys by Luikov