Analysis of natural convection of hydromagnetic fluid contains micro-particles in a infinite vertical channel

This study presents an analytical investigation of the natural convection hydromagnetic flow of a particulate suspension fluid through an infinitely long vertical channel in the presence of heat sink or source effects. The channel walls are maintained at isoflux–isothermal condition. That is, the thermal boundary conditions are such that one of the channel walls is maintained at constant heat flux, while the other is maintained at a constant temperature. In addition, the magnetic field is exerted on channel from the iso-thermal wall. Various closed-form and exact solutions of the governing (Navier Stokes) differential equations for different special cases are obtained. A parametric study of the physical variables involved in the problem is done to illustrate the influence of these non dimensional parameters on the velocity and temperature profiles of both phases. Results show that replacing the physical boundary conditions, will have a different behavior of velocity and temperature distributions.