On Laminar Magnetoconvection Flow in a Vertical Channel in the Presence of Heat Generation and Heat Absorption

Abstract

The problem of hydromagnetic fully developed laminar mixed convection flow in a vertical channel and asymmetric wall heating conditions in the presence of electrical conductivity effect is considered through proper choice of dimensionless variables. The governing with symmetric equations are developed and three types of thermal boundary conditions are presented. These boundary conditions are isothermal-isothermal, isoflux-isothermal, and isothermal-isoflux for the left-right walls of the channel respectively. The velocity fleld and the temperattire fleld are obtained by perturbation series method which employs a perturbation parameter proportional to the Brinkman number. In addition, closed form expressions for reversal flow conditions at both the left-right channel walls are derived. Selected set of graphical results illustrating the effects of the various parameters involved in the problem including magnetic dissipation, heat generation or absorption, and the electrical conductivity on the velocity and temperature proflles as well as flow reversal situation are presented. The solutions obtained are also compared with that of results obtained byflnite difference method.

Numerical Study of Mixed Convective Flow of a Couple Stress Fluid in a Vertical Channel with First Order Chemical Reaction and Heat Generation/Absorption

“…From equations (17) - (19) one can observe that the profiles of u ,  and  depend on the parameters, namely the ratio Re…”

“…B.P. Mallikarjun et al [19] have worked on, laminar Magneto Convection flow in a Vertical channel in the presence of heat generation and absorption.…”

“…The effects of thermal buoyancy parameter T  and concentration Buoyancy parameterC  Concentration Parameter , heat generation parameter  and couple stress parameter a are all studied. Velocity, temperature, concentration profiles presented graphically and analyzed.The dimensionless equations(17) to(19) with boundary conditions (20) to (24) are solved.Isothermalisothermal walls ( )12TT −For heat generation and absorption equations 17 -19 are solved usingfor the boundary conditions (20) -(24).…”

Finite-Element Analysis of Fully Developed Mixed Convection through a Vertical Channel in the Presence of Heat Generation/Absorption with a First-Order Chemical Reaction

“…Md.Mamun Molla et.al [12] have investigated the effect of internal heat generation/absorption on a steady two dimensional natural convection flow of viscous incompressible fluid alone uniformly heated vertical wavy surface. Acharya et.al [13] analyzed the flow problems in the presence of heat generation.Umavathi et.al [14] discussed the laminar magneto convection flow in a vertical channel in the presence of heat generation or absorption.…”

Mixed convection flow of an electrically conducting fluid in a vertical channel with boundary conditions of the third kind

“…Singha [16] gave an analytical solution to the problem of magnetohydrodynamics-free convective flow of an electrically conducting fluid between two heated parallel plates in the presence of an induced magnetic field. Malashetty et al [17][18][19], Umavathi et al [20], and Prathap et al [21] studied mixed convection in a vertical channel for one-and two-fluid models. Umavathi and Sridhar [22] studied the Hartmann two-fluid Poiseuille-Couette flow in an inclined channel.…”