In this paper, the problem of heat and mass transfer on the flow of non-Newtonian micropolar fluid with uniform suction/blowing, heat generation, radiation, thermophoresis and chemical reaction is presented and discussed. The Homotopy Analysis Method (HAM) is employed to compute an approximation to the solution of the system of nonlinear differential equations governing the problem. The effects...

The numerical simulation of viscoelastic fluid flow becomes more difficult as a physical parameter, the Weissenberg number, increases. Specifically, at a Weissenberg number larger than a critical value, the iterative nonlinear solver fails to converge. In this paper a two-parameter defect-correction method for viscoelastic fluid flow is presented and analyzed. In the defect step the Weissenberg...

Fluid-approximation or mean-field techniques are currently very popular approaches to the efficient analysis of massivelyparallel Markov models. In this paper, we exploit the ODE-representation of these approximations to develop efficient techniques for simultaneous partially-symbolic numerical integration over parameter ranges. In particular, we borrow the Taylor model data structure of Makino...

The two–fluid effects on the radial outflow of relativistic electron–positron plasma are considered. It is shown that for large enough Michel (1969) magnetization parameter σ ≫ 1 and multiplication parameter λ = n/n GJ ≫ 1 one–fluid MHD approximation remains correct in the whole region |E| < |B|. In the case when the longitudinal electric current is smaller than the Goldreich–Julian one, the ac...

We consider a loosely-coupled algorithm for fluid-structure interaction based on Robin interface condition the fluid problem (explicit Robin-Neumann scheme). study dependence of stability this method parameter in condition. In particular, model we find sufficient conditions instability and method. latter case, relating time discretization parameter, structure densities. Numerical experiments co...

In this paper, the unsteady oscillatory flows of a generalized Burgers’ fluid in a rotating frame are investigated. The constitutive equations of the generalized Burgers’ fluid are used in the mathematical formulation of the problem. The solutions are obtained by using the Laplace transform method. The graphical results are displayed and discussed for various parameters of interest. It is found...

Numerical solutions for heat and mass transfer by laminar flow of a Newtonian, viscous, electrically conducting chemically reacting viscous dissipative fluid on a continuously vertical permeable surface in the presence of a heat source, a first – order homogeneous chemical reaction and the mass flux are reported. The plate is assumed to move with a constant velocity in the direction of fluid fl...

In this paper, we investigate the stability of a fluid-structure interaction problem in which a flexible elastic membrane immersed in a fluid is excited via periodic variations in the elastic stiffness parameter. This model can be viewed as a prototype for active biological tissues such as the basilar membrane in the inner ear, or heart muscle fibers immersed in blood. Problems such as this, in...

The flow and heat transfer of an electrically conducting non-Newtonian second grade fluid due to a radially stretching surface with partial slip is considered. The partial slip is controlled by a dimensionless slip factor, which varies between zero (total adhesion) and infinity (full slip). Suitable similarity transformations are used to reduce the resulting highly nonlinear partial differentia...