In this paper, we have investigated the effects of throughflow and gravity modulation on a couple stress fluid saturated porous layer using non-autonomous Ginzburg-Landau model. A small variation disturbances has been considered to examine nonlinear thermal instability in media. At third order, finite amplitude convection calculated which determines heat transfer. The effect i.e., inflow outflo...

The present work is devoted to study the numerical simulation for unsteady MHD flow and heat transfer of a couple stress fluid over a rotating disk. A similarity transformation is employed to reduce the time dependent system of nonlinear partial differential equations (PDEs) to ordinary differential equations (ODEs). The Runge-Kutta method and shooting technique are employed for finding the num...

A study of the steady flow of blood through a horizontally symmetric artery with mild stenosis is presented by considering blood as a micropolar fluid. The viscosity of blood is considered as radial coordinate dependent. The non-linear pressure equations governing the flow are solved numerically using finite difference technique. The effects of micropolar fluid parameters and hematocrit on axia...

In this paper, the effect of magnetic field on double-diffusive convection in couple-stress fluid saturating a porous medium is considered. By applying linear stability theory and normal mode analysis method, a necessary condition is derived which states that the viscoelastic double-diffusive convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R...

A mathematical analysis has been presented to study the effect of a mild stenosis on blood flow characteristics with the representation of blood by couple stress fluid. The equations governing the flow of the proposed model are solved and closed form expressions for the blood flow characteristics, namely, dimensionless resistance to flow and wall shear stress at maximum height of the stenosis a...

Abstract Based on the couple-stress theory, elastohydrodynamic lubrication (EHL) contact is analyzed with a consideration of size effect. The lubricant between surface homogeneous coated half-plane and rigid punch supposed to be non-Newtonian fluid. density viscosity are dependent fluid pressure. Distributions film thickness, in-plane stress, pressure calculated by solving nonlinear fluid-solid...

The impact of non-uniform temperature gradients on Rayleigh-Darcy convection in a composite system couple stress fluid is discussed. bounded by stress-free surfaces and adiabatically insulated, the fluid-porous layers are coupled employing appropriate interfacial boundary conditions. To determine eigen value, regular perturbation method used. effect dimensionless parameters analysed graphically...