Fully-developed free-convective flow of micropolar and viscous fluids in a vertical channel

Abstract

a b s t r a c tThe problem of fully-developed laminar free-convection flow in a vertical channel is studied analytically with one region filled with micropolar fluid and the other region with a viscous fluid. Using the boundary and interface conditions proposed by previous investigators, analytical expressions for linear velocity, micro-rotation velocity and temperature have been obtained. Numerical results are presented graphically for the distribution of velocity, micro-rotation velocity and temperature fields for varying physical parameters such as the ratio of Grashof number to Reynolds number, viscosity ratio, width ratio, conductivity ratio and micropolar fluid material parameter. It is found that the effect of the micropolar fluid material parameter suppress the velocity whereas it enhances the micro-rotation velocity. The effect of the ratio of Grashof number to Reynolds number is found to enhance both the linear velocity and the micro-rotation velocity. The effects of the width ratio and the conductivity ratio are found to enhance the temperature distribution.

Finite element analysis of free convection flow with MHD micropolar and viscous fluids in a vertical channel with dissipative effects

“…The absence of viscous dissipation increases the velocity, Micro rotation and decreases the temperature due to enthalpy. Fig.5, Fig.9 and Fig.10 for Ec 0 = exhibits the identical behavior as given by Pop et al (2010). The increase in the viscous dissipation cools the fluid in both regions due to Enthalpy (Fig 10).…”

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

“…The flow and heat transfer in immiscible fluids are of special importance in the petroleum extraction and transport problem. Heat transfer in immiscible flows was discussed by many authors (e.g., Chamkha, 2000;Umavathi et al, 2005;Malashetty et al, 2006;Muthuraj and Srinivas, 2010;Prathap Kumar et al, 2011).…”

Soret and Chemical Reaction Effects on Unsteady MHD Flow of Viscoelastic Micropolar Fluid through a Porous Medium with Thermal Radiation and Heat Source.

“…(1) for constant suction velocity normal to the plate gives, we obtain 0 ww  (9) where 0 w represents the velocity normal to the plate which is positive for suction and negative for blowing. The radiative heat flux term by using Rosseland approximation is given by T into the Taylor series about T  , which after neglecting the higher order terms, thus 4 4 3…”