Variable Viscosity on Magnetohydrodynamic Fluid Flow and Heat Transfer over an Unsteady Stretching Surface with Hall Effect

Abstract

The problem of magnetohydrodynamic flow and heat transfer of a viscous, incompressible, and electrically conducting fluid past a semi-infinite unsteady stretching sheet is analyzed numerically. The problem was studied under the effects of Hall currents, variable viscosity, and variable thermal diffusivity. Using a similarity transformation, the governing fundamental equations are approximated by a system of nonlinear ordinary differential equations. The resultant system of ordinary differential equations is then solved numerically by the successive linearization method together with the Chebyshev pseudospectral method. Details of the velocity and temperature fields as well as the local skin friction and the local Nusselt number for various values of the parameters of the problem are presented. It is noted that the axial velocity decreases with increasing the values of the unsteadiness parameter, variable viscosity parameter, or the Hartmann number, while the transverse velocity increases as the Hartmann number increases. Due to increases in thermal diffusivity parameter, temperature is found to increase.

Mixed Convection MHD Flow of Viscoelastic Fluid in a Porous Medium past a Hot Vertical Plate

“…To study the effect of viscosity which varies with temperature and viscous dissipation, Pal and Mondal [16] adopted a problem of mixed convective heat transfer over a stretching surface under the influence of non-uniform heat source/sink. In a similar study Shateyi and Motsa [17] used successive linearization method to solve a set of non-linear ordinary differential equation arises in formulation of unsteady heat transfer over a stretching sheet with Hall Effect. Taking into account the variable viscosity and thermal conductivity Mahanti and Gaur [18] put forwarded some interesting results on free convective flow and heat transfer due to heat sink along an isothermal vertical plate.…”

An improved spectral homotopy analysis method for solving boundary layer problems

“…These methods include the Adomian decomposition method [15][16][17], differential transform method [18], variational iteration method [19], homotopy analysis method (HAM) [20][21][22][23], and the spectral-homotopy analysis (SHAM) (see Motsa et al [24,25]) which sought to remove some of the perceived limitations of the HAM. More recently, successive linearization method [26][27][28], has been used successfully to solve nonlinear equations that govern the flow of fluids in bounded domains.…”

Cross-Diffusion, Viscous Dissipation and Radiation Effects on an Exponentially Stretching Surface in Porous Media

“…The system of equations (12)- (14) together with the boundary conditions (15) were solved using a successive linearisation method (SLM) (see [22,32]). The SLM is based on the assumption that the unknown functions f (η), θ(η) and φ(η) can be expanded as…”

“…The wall temperature, solute concentration and stretching velocity are assumed to be exponentially increasing functions. The successive linearisation method (SLM) which has been used in a limited number of studies (see [3,5,[20][21][22]32]) is used to solve the governing coupled non-linear system of equations. Recent studies such as [4,22,23] have suggested that the successive linearisation method is accurate and converges rapidly to the numerical results when compared to other semi-analytical methods such as the Adomian decomposition method, the variational iteration method and the homotopy perturbation method.…”