Mathematical modelling of combined pressure driven and electrokinetic effect in a channel with induced magnetic field: An exact solution.

This article presents exact solution for pressure driven flow formation of electrically conducting fluid in a parallel plate channel formed by two horizontal parallel plates with electrokinetic effects and induced magnetic field. Using the Poisson–Boltzmann, Navier-Stokes equations and induction equation, the governing electric potential, momentum, induced magnetic field and energy equations for the present article are presented and transformed to their corresponding dimensionless form using suitable parameters. The governing dimensionless equations are solved exactly and graphical representation are presented. During the cause of graphical illustration, it is found that the role of electrokinetic effects and Hartmann number is to decrease the electric potential, fluid velocity, induced magnetic field and fluid temperature. A special case is found and discussed when the value of Hartmann number equals the Debye-Hückel parameter. It is interesting to note that heat transfer is independent on governing parameters for large value of Debye-Hückel parameter. [ABSTRACT FROM AUTHOR]