The effect of heat source/sink on steady two-dimensional laminar MHD mixed convection boundary layer flow past a vertical permeable surface embedded in a porous medium saturated by a nanofluid is performed in this study. Numerical solutions of the similarity equations are obtained using the shooting method. Three types of metallic or nonmetallic nanoparticles, namely Copper (Cu), Alumina (Al2O3...

In this paper, we have studied the effect of radiation, magnetic field on the mixed convection flow of a magneto-micropolar fluid past a continuously moving surface with suction and blowing. The governing equations have been reduced to a system of nonlinear ordinary differential equations by similarity transformations, which have been solved numerically using finite difference method. The effec...

In addition to the K&m& momentum-integral equation, two further equations are required for the purposes of calculating the development of the incompressible turbulent boundary layer-a "skin-friction law" and an "auxiliary equrtion". The problem of deriving a satisfactory form of auxiliary equation is a major one. Indeed, despite the effort devoted to this question for meny years, few derived fo...

The objective of this research is to examine the steady incompressible two-dimensional hydromagnetic boundary layer flow nanofluid passing through a stretched sheet in influence viscous and ohmic dissipations. present problem obtained with help an analytical technique called DTM-Pade Approximation. mathematical modeling considered form partial differential equation transformed into suitable sim...

In this paper we provide three benchmark problems with known exact solutions that can be used to assess the ability of adaptive finite element algorithms to handle anisotropically-behaved solutions. The first one is a Poisson equation with a smooth solution that only changes in one spatial direction. The second one is a singularly-perturbed linear elliptic equation whose solution exhibits a bou...