In this paper we utilize a family of high-resolution, non-oscillatory central schemes for the approximate solution of the equations of ideal magnetohydrodynamics (MHD) in oneand two-space dimensions. We present several prototype problems. Solutions of one-dimensional shock-tube problems is carried out using secondand third-order central schemes [19, 18], and we use the second-order central sche...

In various astrophysical contexts, we analyze self-similar behaviours of magnetohydrodynamic (MHD) evolution of a quasi-spherical polytropic magnetized gas under self-gravity with the specific entropy conserved along streamlines. In particular, this MHD model analysis frees the scaling parameter n in the conventional polytropic self-similar transformation from the constraint of n+ γ = 2 with γ ...

In the present paper, we have studied MHD free convective two dimensional unsteady viscous incompressible flows through a porous effect bounded by an infinite vertical porous plate with constant suction. The permeability of the porous medium fluctuates in time about a constant mean, and the viscosity of fluid is assumed to vary as a linear function of temperature. The flow is permitted under th...

In this paper, the Bernstein collocation method (BCM) is used for first time to solve nonlinear magnetohydrodynamics (MHD) Jeffery–Hamel arterial blood flow issue. The model described by partial differential equations transformed a third-order one-dimensional equation. By using method, problem into system of algebraic equations. residual correction procedure estimate error; it simple use and ca...

There is strong and consistent evidence from in vitro studies that disturbed blood flow produces a proatherogenic vascular endothelial phenotype. However, data from human studies are lacking. To address this, a 220 mm Hg occlusion cuff was placed on the distal forearm of 10 young, healthy men to induce a localized region of disturbed blood flow in the proximal vasculature for 20 minutes. We hyp...