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

• Autorzy: Siddheshwar P. G. , Mahabaleswar U. S. , Andersson H. I.

Identyfikatory

DOI

10.2478/ijame-2013-0059

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

differential equations; Clairaut equation; Newtonian liquid; stretching sheet; suction/injection

PL

równania różniczkowe; ciecz newtonowska; rozciąganie arkusza

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2013
• Tom: Vol. 18, no. 3
• Strony: 955--964
• Opis fizyczny: Bibliogr. 22 poz., tab., wykr.

Twórcy

autor

Siddheshwar P. G.

• Department of Mathematics, Bangalore University Central College Campus Bangalore 560 001, Karnataka, India

autor

Mahabaleswar U. S.

• Department of Mathematics, Government First Grade College for Women Hassan 573 201, Karnataka, India

autor

Andersson H. I.

• Department of Energy and Process Engineering Norwegian University of Science and Technology 7491 Trondheim, Norway

Bibliografia

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