We study how the number of numerically determining modes in the Navier–Stokes equations depends on the Grashof number. Consider the two-dimensional incompressible Navier–Stokes equations in a periodic domain with a fixed time-independent forcing function. We increase the Grashof number by rescaling the forcing and observe through numerical computation that the number of numerically determining ...

This paper deals with the behavior of unsteady MHD Micropolar flow and Mass transfer past a vertical plate with variable suction. The resultant equations are solved analytically using Perturbation method. The analytical expressions for the velocity profiles, temperature profiles and concentration profiles of the fluid have been obtained with the help of the material parameters such as Grashof n...

The effect of chemical reaction on an unsteady magneto hydrodynamic flow past an infinite vertical porous plate with variable suction and heat convective mass transfer, where the plate temperature oscillates with the same frequency as that of variable suction velocity. The non – linear partial differential equations governing the flow have been solved numerically using finite difference method....

The theoretical analysis of magnetohydrodynamic flow past a parabolic motion started infinite vertical plate with variable temperature and uniform mass diffusion has been analysed. The plate temperature is raised linearly with time and the concentration level near the plate is raised uniformly. The dimensionless governing equations are solved using the Laplace transform technique. The effect of...

An empirical correlation for predicting the heat transfer coefficient for a cylinder under free convection, inclined at any arbitrary angle with the horizontal has been developed in terms of Nusselt number, Prandtl number and Grashof number. Available experimental data was used to determine the parameters for the proposed correlation. The proposed correlation predicts the available data well wi...

We study radiation convective fluid flow with chemical reaction. The dimensionless governing equations are solved using perturbation technique. The effects of velocity, temperature and concentration are studied for different parameters such as Grashof number, chemical reaction number, Prandtl number, Mass Grashof number and Radiative parameter. It is observed that the velocity increases with in...

We study magnetohydrodynamic radiation-convection flow through a porous medium with mass transfer in the presence of a homogeneous first order chemical reaction and surface temperature oscillation. The governing equations are solved analytically using perturbation technique. Detailed computations of the influence of Hartmann number, frequency of the oscillation, radiation parameter, Prandtl num...

this paper presents the results of a numerical study on the heat transfer performance and the removal process of fluid particles under the influence of magnetohydrodynamic mixed convection in a horizontal channel with an open cavity. the bottom wall of the cavity is heated at a constant temperature (th) while the top wall of the channel is maintained at a relatively low temperature (tc). air wi...

This paper presents the results of a numerical study on the heat transfer performance and the removal process of fluid particles under the influence of magnetohydrodynamic mixed convection in a horizontal channel with an open cavity. The bottom wall of the cavity is heated at a constant temperature (Th) while the top wall of the channel is maintained at a relatively low temperature (Tc). Air wi...

The effects of heat and mass transfer on MHD mixed convection flow of a vertical surface with radiation, heat source/absorption and chemical reaction has been is discussed. The resulting set of coupled non-linear ordinary differential equations is solved by perturbation technique and for graphs we used MATLAB software. Approximate solutions have been derived for the velocity, temperature, conce...