International Journal of Emerging Multidisciplinaries: Mathematics

Corresponding Author

Aamir Shahzad

Document Type

Research Article

Subject Areas

Applied Mathematics and Computations


Permeable channel, analytic solution, Brinkman number, heat transfer rate


An analytical investigation is made to determine the heat and mass transfer mechanism of non-isothermal highly viscous uid in a longnarrow porous channel. The walls of the channel are maintained at the same temperature. The mathematical model is developed by using the continuity, momentum, energy and diffusion equations. Analytical solutions are establish to get the expressions of velocity field, pressure distribution, mass ow rate, wall shear stress, temperature profile, mass concentration distribution as well as the heat transfer rate (Nusselt number) and mass transfer rate (Sherwood number) with involved physical parameters. Numerical results are graphically sketched to describe the role of different parameters involved in the governing equations. It is observed that longitudinal velocity component is higher at the entrance region as compared to middle position and exit region of the channel. Temperature field decreases at the centerline of the channel with increasing suction (reabsorption) parameter. Concentration decreases from surface to the center of the channel and with increasing suction parameter concentration increases. Heat transfer rate decreases while mass transfer rate increases along the channel. With increasing Brinkman number heat transfer increases and its strength at the entrance region is higher than exit region.

Receive Date

2022-09-06 03:18:46

Publication Date