Numerical treatment for nonlinear steady flow of a third grade‎ fluid in a porous half space by neural networks optimized

Numerical Solution for the Flow and Heat Transfer of a Third-Grade Fluid Past a Porous Vertical Plate

A study is made for unsteady convective flow of a third grade fluid past an infinite vertical porous plate with uniform suction applied at the plate. The governing non-linear partial differential equations are reduced to a system of non-linear algebraic equations using implicit finite difference schemes and is then solved using damped-Newton method. The effect of the parameters Pr (Prandtl numb...

Unsteady Solutions in a Third-Grade Fluid Filling the Porous Space

A Numerical Algorithm for Fluid Flow in Porous Media

Fluid flow model in porous media is considered. The governing equation is strong nonlinear parabolic differential equation. We develop an efficient algorithm for the numerical solution of the problem. It depends on an iterative scheme that developed recently. We prove the convergence of this scheme. Numerical results demonstrate the efficiency of the algorithm.

Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet

In this paper, the MagnetoHydroDynamic (MHD) boundary layer flow over a nonlinear porous stretching sheet is investigated by employing the Homotopy Perturbation Transform Method (HPTM) and the Pade´ approximation. The numerical solution of the governing non-linear problem is developed. Comparison of the present solution is made with the existing solution and excellent agreement is noted. Gr...

Investigation of blood flow as third order non-Newtonian fluid inside a porous artery in the presence of a magnetic field by an analytical method

In this research various nonlinear fluid models have been introduced and the balloon movement in the porous arteries, including third-order non-Newtonian fluid, is described under the influence of the magnetic field. In order to solve the nonlinear equations governing the desired artery, an analytical method of approximation collocation and least squares are proposed. The effect of various para...

Numerical Solution for Nonlinear MHD Jeffery-Hamel Blood Flow Problem through Neural Networks Optimized Techniques

The purpose of study is to develop numerical techniques for nonlinear magnetohydrodynamics (MHD) JefferyHamel blood flow problem to analyze the behavior of blood flow and its contribution in high blood pressure through artificial neural networks trained with Active Set and Interior Point Algorithm. First we transform three-dimensional flow problem into two-dimensional MHD Jeffery-Hamel flow pro...