In accordance with the problem of the need for calculation formula of the straight wall flume flow in open channel by experiment, the method of thee boundary layer is proposed; Analysis with boundary layer displacement thickness is studied, and the energy equation, continuous equation and the theory and critical depth of flume flow coefficient, velocity coefficient is deduced using the boundary...

In this paper, we investigate the boundary layer behavior of solutions to the one dimensional Broadwet1 modet of the nonlinear Boltzrnann equation for small mean free path. We consider the analogue of Maxwell’s diffusive and the reflexive boundary conditions. I t is found that even for such a simple model, there are boundary layers due to purely kinetic effects which cannot be detected by the c...

We consider the flow of a dilute gas around a macroscopic heavy object. The state of the gas is described by an extended Boltzmann equation where the interactions between the gas molecules and the object are taken into account in computing the rate of change of the distribution function of the gas. We then show that the extended Boltzmann is equivalent to the usual Boltzmann equation, supplemen...

The Blasius equation is an autonomous, third order, nonlinear differential equation, which results from an appropriate substitution in boundary layer equations. We study in details the concave solutions of initial value problems involving this equation, and apply our results to solve a related boundary value problem

The appearance and time variability of accreting millisecond X-ray pulsars (hereafter AMXPs, e.g. Wijnands & van der Klis 1998) depends strongly on the accretion rate, the effective viscosity and the effective magnetic diffusivity of the disk-magnetosphere boundary. The accretion rate is the main parameter which determines the location of the magnetospheric radius of the star for a given stella...

Abstract The nonlinear two-dimensional forced-convection boundary-layer magneto hydrodynamic (MHD) incompressible flow of nanofluid over a horizontal stretching flat plate with variable magnetic field including the viscous dissipation effect is solved using the Variational iteration method (VIM), homotopy perturbation method (HPM) and Adomian decomposition method (ADM). In the paper, our result...

A consistent, conservative and accurate scheme has been designed to calculate the current density and the Lorentz force by solving the electrical potential equation for magnetohydrodynamics (MHD) at low magnetic Reynolds numbers and high Hartmann numbers on a finite-volume structured collocated grid. In this collocated grid, velocity (u), pressure (p), and electrical potential (u) are located i...

We present a boundary feedback law that stabilizes the velocity, pressure, and electromagnetic fields in a magnetohydrodynamic (MHD) channel flow. The MHD channel flow, also known as Hartmann flow, is a benchmark for applications such as cooling, hypersonic flight, and propulsion. It involves an electrically conducting fluid moving between parallel plates in the presence of an externally impose...

The influence of non-uniform slot suction (injection) into a steady, MHD boundary layer flow over a sphere with variable viscosity has been examined. The system of nonlinear, coupled partial differential equations governing the non-similar flow have been solved numerically and the solutions have been obtained from the starting point of the streamwise co-ordinate to the exact point of separation...