Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 International Journal of Applied Mechanics and Engineering

2 2013

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Non-perturbative solution for hydromagnetic flow over a linearly stretching sheet

Makinde O. D., Mahabaleswar U. S., Maheshkumar N.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 3

935--943

In this paper, the Adomian decomposition method with Padé approximants are integrated to study the boundary layer flow of a conducting fluid past a linearly stretching sheet under the action of a transversely imposed magnetic field. A closed form power series solution based on Adomian polynomials is obtained for the similarity nonlinear ordinary differential equation modelling the problem. In order to satisfy the farfield condition, the Adomian power series is converted to diagonal Padé approximants and evaluated. The results obtained using ADM-Padé are remarkably accurate compared with the numerical results. The proposed technique can be easily employed to solve a wide range of nonlinear boundary value problems.

A new analytical procedure for solving the non-linear differential equation arising in the stretching sheet problem

Siddheshwar P. G., Mahabaleswar U. S., Andersson H. I.

International Journal of Applied Mechanics and Engineering

2013

Vol. 18, no. 3

955--964

The paper discusses a new analytical procedure for solving the non-linear boundary layer equation arising in a linear stretching sheet problem involving a Newtonian/non-Newtonian liquid. On using a technique akin to perturbation the problem gives rise to a system of non-linear governing differential equations that are solved exactly. An analytical expression is obtained for the stream function and velocity as a function of the stretching parameters. The Clairaut equation is obtained on consideration of consistency and its solution is shown to be that of the stretching sheet boundary layer equation. The present study throws light on the analytical solution of a class of boundary layer equations arising in the stretching sheet problem.