Computation of Temperature- and Concentration-Dependent Heat and Mass Diffusivities of Solute-Solvent Systems

The temperature- and concentration-dependent heat and mass diffusivities of a solute-solvent system were computed using an optimization-based computational technique. the input data of this method was the measured transient temperature and concentration at some selected locations of the system. the element-wise differential quadrature method as an accurate and simple numerical technique in conjunction with the newton-raphson method were utilized to solve the corresponding nonlinear coupled differential equations. the objective function of the algorithm was the difference between the measured data and the numerical solutions of the heat and mass transfer governing equations. the optimization algorithm was developed using the conjugate gradient method (cgm). also, the corresponding nonlinear coupled partial differential equations were solved by employing the element-wise differential quadrature method as a powerful numerical technique. the applicability and reliability of the approach were illustrated by solving the problem under different conditions. the results showed that the heat and mass diffusivities of the system could be satisfactorily estimated, which would enable us to suggest the application of this algorithm for the other transport phenomena.