In this paper deals with the combined effect of thermal radiation and heat source on the MHD free convection heat and mass transfer flow of a viscous incompressible fluid past a uniformly vertical porous plate. The velocity, temperature and concentration field are obtained and discussed graphically for various values of the physical parameters present. In addition, expressions for the skin fric...

This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretize in time based on backward Euler’s scheme. We prove existence and uniqueness of the solution of the time discrete problem by me...

The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates is investigated. The unsteady Navier-Stokes equations are reduced to a nonlinear fourthorder differential equation by using similarity solutions. Homotopy analysis method HAM is used to solve this nonlinear equation analytically. The convergence of the obtained series solution is carefu...

Abstract. In a flow of two immiscible incompressible viscous fluids, jump discontinuities of flow quantities appear at the two-fluid interface. The immersed interface method can accurately and efficiently simulate the flow without smearing the sharp interface by incorporating necessary jump conditions into a numerical scheme. In this paper, we systematically derive the principal jump conditions...

Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. The paper demonstrates that the variational characterization of eigenvalues is a power...

This paper presents the solution of the nonlinear equation that governs the flow of a viscous, incompressible fluid between two converging-diverging rigid walls using an improved homotopy analysis method. The results obtained by this new technique show that the improved homotopy analysis method converges much faster than both the homotopy analysis method and the optimal homotopy asymptotic meth...

The Navier-Stokes equation describes the deterministic evolution of incompressible fluids. The effects of random initial conditions on solutions of this equation are studied. It is shown that there is an infrared stable fixed point accessible within the epsilon expansion, about dc = 4, with a particular choice of viscosity. The behaviour of the usual viscous fluid is obtained as a relevant pert...

ABSTRAcr. We consider a heat conducting incompressible micropolar fluid at rest and filling a closed rigid container. We account for the heat generated due to viscous dissipation and show that the kinetic and the thermal energy of arbitrary disturbances of the rest state decays exponentially. The rate of decay depends upon the viscosity coefficients, heat conduction coefficients and the size an...

Laminar boundary layer flow of an incompressible viscous fluid along a stretching horizontal cylinder embedded in a porous medium is discussed. The governing system of partial differential equations is reduced to a system of ordinary differential equations. Mathematics has been used to solve such system after obtaining the missed initial conditions. The obtained results are compared with previo...

Magnetohydrodynamic flow of an incompressible fluid through a plane channel with slowly varying walls and a magnetic field applied transverse to the channel is investigated in the high Reynolds number limit. It is found that the magnetic field can first influence the hydrodynamic flow when the Hartmann number reaches a sufficiently large value. The magnetic field is found to suppress the steady...