With the presence of a uniform vertical magnetic field and suspended particles, thermocapillary instability in a horizontal liquid layer is investigated. The resulting eigenvalue is solved by the Galerkin technique for various basic temperature gradients. It is found that the presence of magnetic field always has a stability effect of increasing the critical Marangoni number. Keywords—Marangoni...

This article looks at the steady flow of Micropolar fluid over a stretching surface with heat transfer in the presence of Newtonian heating. The relevant partial differential equations have been reduced to ordinary differential equations. The reduced ordinary differential equation system has been numerically solved by Runge-Kutta-Fehlberg fourth-fifth order method. Influence of different involv...

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni number M for the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term...

The aim of this article is to investigate the blood flow in bifurcated artery with mild stenosis taking blood as a micropolar fluid. The arteries forming bifurcation are taken to be symmetric and straight cylinders of finite length. The governing equations are non-dimensionalized, and coordinate transformation is used to convert the irregular boundary to a regular boundary. The resulting system...

An analysis study is presented to study the effects of Hall current and Soret effect on unsteady hydromagnetic natural convection of a micropolar fluid in a rotating frame of reference with slip-flow regime. A uniform magnetic field acts perpendicularly to the porous surface which absorbs the micropolar fluid with variable suction velocity. The effects of heat absorption, chemical reaction, and...

The present study deals with the analysis of the effects of radiative heat transfer of micropolar fluid flow over a porous and stretching sheet in the presence of magnetic field. The dynamic viscosity and thermal conductivity coefficient have formulated by temperature-dependent relations to obtain more exact results. The flow is supposed two-dimensional, incompressible, steady and laminar and t...

The analysis of mass and heat transfer in magnetohydrodynamic (MHD) flows has significant applications exchangers, cooling nuclear reactors, designing energy systems casting injection processes different types fluids. On the other hand, extraction crude oil, flow human or animal blood, as well polymer fluids liquid crystals are just some examples micropolar fluid flows. Due to broad application...

In this paper, a comprehensive study of hydromagnetic (MHD) axisymmetric stagnation point flow and heat transfer characteristics of an electrically conducting viscous incompressible micropolar fluid towards a shrinking sheet with radiation effects is investigated under the action of a transverse magnetic field. The governing partial differential equations (PDEs) are reduced to non linear ordina...

The current work deals with the pulsating flow of Au-blood micropolar nanofluid existence thermal radiation and Joule heating. Micropolar fluid is addressed as blood (base fluid) Au (gold) a nanoparticle. has been mathematically modeled, resulting in delicate system partial differential equations (PDEs). A perturbation technique used to convert PDE into ordinary (ODEs), which are subsequently s...