Numerical simulation of micropolar fluid flow along a flat plate with wall conduction and buoyancy effects

Abstract

This paper presents a numerical analysis of the flow and heat transfer characteristics of mixed convection in a micropolar fluid flowing along a vertical flat plate with conduction effects. The governing non-linear equations and their associated boundary conditions are first cast into dimensionless forms by a local non-similar transformation. The resulting equations are then solved using the cubic spline collocation method and the finite difference scheme. This study examines the effects of the buoyancy parameter, the conjugate heat transfer parameter, the micropolar parameter and the Prandtl number on the flow and the thermal fields. The results show that the conjugate heat transfer parameter has a significant influence on the fluid flow and heat transfer characteristics. The buoyancy parameter reduces the solid–liquid interfacial temperature but increases the skin friction factor and the local heat transfer rate. The effect of wall conduction on the local heat transfer rate, interfacial temperature and skin friction factor is found to be more pronounced in a system with a greater buoyancy effect. Finally, compared with the case of pure forced convection, a reduction in the interfacial temperature, an increase in the skin friction factor and an increase in the local heat transfer rate are obtained in the current mixed convection case.

MHD stagnation point flow of a micropolar fluid towards a heated surface

“…Excellent comparison validates our numerical computations and the use of extrapolation for higher order accuracy. We choose to present the shear and couple stresses, heat transfer rate, velocity and thermal boundary layer thicknesses, and the velocity and microrotation fields over the surface for a range of values of the magnetic parameter M , the micropolar parameters (i.e., the vortex viscosity parameter R, the microinertia density parameter A, and the spin gradient viscosity parameter C) and the Prandtl number P r. The values 0, 2, 4, 6 of the vortex viscosity parameter R are chosen arbitrarily in order to study its influence on the flow behavior where as the other two parameters A and C have no significant effect on the flow because of which their values are fixed as done customarily in the literature works of Cheng [16] , Guram and Anwar [31] , Takhar et al [32] , and Ashraf et al [33] . Table 2 predicts the influence of applied magnetic field on the shear and couple stresses, and heat transfer rate.…”

“…Ahmadi [15] considered the problem of boundary layer flow of incompressible micropolar fluids over a semi-infinite plate. The numerical study of the flow and heat transfer characteristics of mixed convection in a micropolar fluid along a vertical flat plate with conduction effects was conducted by Cheng [16] . The steady two dimensional nonorthogonal stagnation flow of micropolar fluid on a flat plate was analyzed numerically by Lok et al [17] for some values of the governing parameters.…”

Effects of Thermal Radiation on Unsteady Magnetohydrodynamic Flow of a Micropolar Fluid with Heat and Mass Transfer

“…They presented the finite element solution. Chang [21] provided a numerical analysis for mixed convection flow in a micropolar fluid flowing along a vertical flat plate. Gorla [22] analyzed the thermal 0932-0784 / 10 / 1100-0950 $ 06.00 c 2010 Verlag der Zeitschrift für Naturforschung, Tübingen · http://znaturforsch.com boundary layer of a micropolar fluid in the vicinity of a stagnation point.…”

Effects of radiation--conduction interaction on mixed convection from a vertical cone embedded in a porous media with high porosity

“…In order to verify the accuracy of the present method, the present results were compared with those of Lloyd and Sparrow [27] and Chang [28]. The comparison was found to be in good agreement, as shown in the Table.…”