http://dspace.nitrkl.ac.in:8080/dspace/bitstream/2080/705/1/IJES-1981.pdf

Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate

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

Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheet

An analytical solution is presented for the problem of heat and mass transfer of an oscillatory 2-dimensional viscous, electrically conducting micropolar fluid over an infinite moving permeable plate in a saturated porous medium in the presence of a transverse magnetic field. Numerical solutions are given for the governing momentum, angular momentum, energy, and concentration equations. The effects of permeability and chemical reaction parameters are presented, graphically or in tables, for the velocity profiles, microrotation profiles, skin friction coefficient, and wall couple stress coefficient. The results indicate that increasing the chemical reaction parameter produces a decreasing effect on the skin friction coefficient and the couple stress coefficient at the wall, while the opposite is true when the permeability parameter is increased.

https://journals.tubitak.gov.tr/engineering/issues/muh-09-33-4/muh-33-4-2-0906-31.pdf

An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium

Micropolar flow in a porous channel with high mass transfer

Heat transfer in boundary layer flow of a micropolar fluid past a curved surface with suction and injection

The effect of suction/injection in the laminar free convection flow of a thermomicropolar fluid past a nonuniformly heated vertical flat plate has been considered. The conditions under which similarity exists have been examined. The resulting system of non-linear ordinary differential equations has been solved numerically after transforming the infinite domain of boundary layer coordinate into a finite domain. The effects of variation of the boundary condition parameter and suction/injection parameter on the velocity, microrotation and temperature fields and the heat transfer coefficient have been studied graphically. The skin-friction parameter and the gradient of microrotation on the wall have been tabulated. It is found that there is significant increase in velocity, skin-friction and the heat transfer coefficient with the decreasing concentration of microelements.

http://dspace.nitrkl.ac.in:8080/dspace/bitstream/2080/708/1/AM-1982.pdf

Free convection in the laminar boundary layer flow of a thermomicropolar fluid past a vertical flat plate with suction/injection

Similar solutions of the equations describing the thermal boundary layer of a micropolar fluid on a plane wall are found to exist for the stagnation point flow when the wall temperature variation is parabolic. The two types of boundary conditions used for microrotation are: (a) the relative spin of the particles on the boundary is related to the skew symmetric part of the stress on the boundary by a parameter which is a measure of the concentration of microelements, and (b) the couple stress on the boundary is related to the relative spin of the particles on the boundary by a friction factor which accounts for the rotational slip of the fluid along the boundary. The velocity, microrotation and temperature fields have been presented graphically for various values of the boundary condition parameters. The skin friction coefficient, wall couple stress coefficient, displacement and momentum thicknesses and rate of heat transfer have been tabulated. A comparison with the corresponding results for a Newtonian fluid has been made.

Heat transfer in the stagnation point flow of a micropolar fluid

The heat transfer is studied in the boundary layer formed on a flat plate by the impingement of an incompressible micropolar fluid jet. The thermal boundary layer equations are obtained after writing the governing equations for the steady two-dimensional flow of an incompressible micropolar fluid in cartesian co-ordinate system. The solution for the energy equation inside the boundary layer is obtained as a polynomial in terms of the distance from the stagnation point. The temperature of the plate and the temperature outside the boundary layer are assumed to be constant. The temperature distribution and the dimensionless heat transfer coefficient are presented graphically for various values of the material parameters which arise due to the micropolar property of the fluid. These results have been compared with the corresponding results for a Newtonian fluid.

Thermal boundary layer of a micropolar fluid jet impinging normally on a flat plate

The effect of longitudinal surface curvature on steady two-dimensional incompressible laminar boundary layer of a micropolar fluid has been considered. Van Dyke's first oder perturbation analysis is applied to the full equations of motion derived in curvilinear coordinate system which facilitates to carry out boundary layer approximation for flow past a curved surface. This results into two systems of partial differential equations which are called the zeroth order and the first order boundary layer equations. The zeroth order equations are the usual boundary layer equations for a micropolar fluid. The first order equations take into account the longitudinal surface curvature effect explicitly. Similar solution of the governing equations exists if (i) the inviscid flow velocity on the surface varies linearly along the surface and (ii) the longitudinal surface curvature is constant. Numerical results are presented illustrating the dependence of the important flow quantities of both zeroth order and first order boundary layers on the micropolar fluid parameters. The results have been compared with the corresponding results for a Newtonian fluid. It has been found that the skin friction decreases and the wall couple stress increases for convex side of the surface and vice versa for the concave side.

M. N. Mathur

Papers

Heat transfer in boundary layer flow of a micropolar fluid past a curved surface with suction and injection

Free convection in the laminar boundary layer flow of a thermomicropolar fluid past a vertical flat plate with suction/injection

Heat transfer in the stagnation point flow of a micropolar fluid

Thermal boundary layer of a micropolar fluid jet impinging normally on a flat plate

Longitudinal surface curvature effects on boundary layer of a micropolar fluid