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Mixed convection flow through a rectangular duct with at least one of the sides of the walls of the rectangle being isothermal under the influence of transversely applied magnetic field has been analyzed numerically in this study. The governing differential equations of the problem have been transformed into a system of nondimensional differential equations and then solved numerically. The dimensionless velocity, microrotation components, and temperature profiles are displayed graphically showing the effects of various values of the parameters present in the problem. The results showed that the flow field is notably influenced by the considered parameters. It is found that increasing the aspect ratio increases flow reversal, commencement of the flow reversal is observed after some critical value, and the applied magnetic field increases the flow reversal in addition to flow retardation. The microrotation components flow in opposite direction; also it is found that one component of the microrotation will show no rotational effect around the center of the duct.

This paper presents a study of the Magnetohydrodynamic flow of incompressible micropolar fluid past an infinite vertical porous plate with combined heat and mass transfer. The plate oscillate harmonically in its own plane and the temperature raised linearly with respect to time. Numerical calculations are carried out for different values of dimensionless parameters and an analysis of the results shown graphically and in table form. It is found that velocity and microrotation influenced appreciatively with parameters like radiation, magnetic, chemical reaction and coupling numbers. It is also noted that microrotation highly influenced by the magnetic parameters. The effects of some parameters on the skin friction, Nusselt and Sherwood numbers studied.

In this study, the problem of an electrically conducting and steady incompressible micropolar fluid with a natural convection boundary layer flow in a sphere in the presence of a strong magnetic field has been considered. This type of flow has many engineering applications, such as drying processes, electronic cooling, ceramic processing, heat exchanger devices and many more. The effect of radiation, chemical reaction, magnetic source; permeability and heat source/sink on the velocity, temperature and concentration profiles of the fluid flow in the medium are investigated. The governing equations describing the problem are transformed into non-dimensional partial differential equations. The equations are solved with the recently introduced multi-domain spectral quasilinearization method. The method involves the use of quasilinearization in linearizing nonlinear functions, a domain splitting approach to split the time interval into several sub-intervals and the Chebyshev spectral collocation method in solving the system. The results obtained suggest that the various parameters tested have a significant impact on various flow profiles. While the velocity and temperature of the fluid increases with an increase in the heat source parameter, the concentration of the fluid are observed to increase with an increase in the radiation and permeability parameters, respectively. Increase in the chemical reaction parameter leads to a decrease in the fluid velocity around the boundary layer. The analysis performed suggests that the multidomain spectral quasilinearization method is efficient in solving fluid flow problems of similar dynamics.

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