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ORIGINAL PAPER
A New Analytical Procedure for Solving the Non-Linear Differential Equation Arising in the Stretching Sheet Problem
1
Department of Mathematics, Bangalore University Central College Campus Bangalore 560 001, Karnataka, INDIA
2
Department of Mathematics, Government First Grade College for Women Hassan 573 201, Karnataka, INDIA
3
Department of Energy and Process Engineering Norwegian University of Science and Technology 7491 Trondheim, NORWAY
Online publication date: 2013-09-06
Publication date: 2013-08-01
International Journal of Applied Mechanics and Engineering 2013;18(3):955-964
KEYWORDS
ABSTRACT
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
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