Steady state boundary layer equations of an upper convected Maxwell fluid with magnetohydrodynamic (MHD) flow are considered. The strength of the magnetic field is assumed to be variable with respect to the location. Using Lie group theory, group classification of the equations with respect to the variable magnetic field is performed. General boundary conditions including stretching sheet and i...

This study focused on free convective MHD Casson fluid flow past a permeable vertical plate with microorganisms and Soret-Dufour mechanisms. The physical model is governed by system of partial differential equations (PDEs). set PDEs were overhaul into nonlinear ordinary equation considering acceptable similarity variable. spectral relaxation method (SRM) was utilized to obtain solution the equa...

In this article, three new green's functions are presented for a narrow strip line (not a thin wire) inside or on a homogeneous dielectric, supposing quasi-TEM dominant mode. These functions have no singularity in contrast to so far presented ones, so that they can be used easily to determine the capacitance matrix of multi-layer and single-layer homogeneous coupled microstrip lines. To obtain ...

The radiation (reaction, Robin) boundary condition for the diffusion equation is widely used in chemical and biological applications to express reactive boundaries. The underlying trajectories of the diffusing particles are believed to be partially absorbed and partially reflected at the reactive boundary, however, the relation between the reaction constant in the Robin boundary condition and t...

Abstract In order to study the effect of MHD control on separation flow turbulent boundary layer in scramjet inlet based assumption low magnetic Reynolds number, considering source term electromagnetic dissipation, numerical simulation method is developed for field coupled with field. A Mach 4 plate adopted as basic configuration assess accuracy solver’s dissipation. On this basis, carried out ...

Abstract In this paper, a two-dimensional steady flow of viscous fluid due to stretching sheet in the presence magnetic field is considered. We proposed two new numerical schemes based on Haar wavelet coupled with collocation approach and quasi-linearization process for solving Falkner-Skan equation representing governing problem. The important derived quantities velocity wall shear stress vari...

We use the method of layer potentials to study interior and exterior Dirichlet and Neumann problems for the Helmholtz equation ((+k 2)u = 0 on a Lipschitz domain for all wave number k 2C with Im k 0. Following the approach for the case of smooth boundary 3], we pursue as solution a single layer potential for Neumann problem or a double layer potential for Dirichlet problem. The lack of smoothne...