Asymptotic behavior of solutions of a non-linear boundary problem in the boundary layer theory

1963 ◽  
pp. 41-46
Author(s):  
G. V. and Myškis Gil′
Keyword(s):  
Boundary Layer ◽  
Asymptotic Behavior ◽  
Boundary Problem ◽  
Boundary Layer Theory ◽  
Asymptotic Behavior Of Solutions ◽  
Linear Boundary ◽  
Non Linear

scholarly journals A New Analytical Procedure for Solving the Non-Linear Differential Equation Arising in the Stretching Sheet Problem

2013 ◽  
Vol 18 (3) ◽  
pp. 955-964 ◽  
Author(s):  
P.G. Siddheshwar ◽  
U.S. Mahabaleswar ◽  
H.I. Andersson
Keyword(s):  
Boundary Layer ◽  
Stretching Sheet ◽  
Analytical Procedure ◽  
Boundary Layer Equation ◽  
Newtonian Liquid ◽  
Linear Boundary ◽  
Boundary Layer Equations ◽  
Non Linear ◽  
Clairaut Equation ◽  
Linear Differential

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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