A Comparative Study Of Three Implicit Finite Difference Schemes For The Solution Of Mass Transfer Problems In Mine Ventilation

In this paper, numerical approximation schemes, for solution of the mass transfer problem in mine ventilation have been developed by using three implicit finite difference schemes. Results from these schemes have been compared with the analytical solution for spatial and time increments, using the concept of Root Mean Square error. For implicit finite difference schemes, in general, the modified central difference scheme is better than the two other schemes at lower velocity. Also, at lower air velocities, implicit schemes underpredicted the concentration values. At higher air velocities, the Crank-Nicholson and Laasonen schemes provided better results than the Modified Central Difference scheme.