Title

Viscous Flow Over A Nonlinearly Stretching Sheet

Keywords

Analytical solution; Nonlinear system; Numerical solution; Stretching sheet; Viscous flow

Abstract

An analysis is carried out to study the flow and heat transfer characteristics in a viscous fluid over a nonlinearly stretching sheet. The equations of conservation of momentum, mass, and energy, which govern the flow and heat transfer, are partially decoupled using a similarity transformation which is different from that of the linearly stretching sheet problem. (However, the results for the linearly stretching sheet problem can be obtained as a special case.) The basic nonlinear differential equation for the velocity field f and the differential equation with variable coefficient for the temperature field θ are solved numerically by using a fourth-order Runge-Kutta integration scheme. The numerical results thus obtained for the flow and heat transfer characteristics are presented by a table and graphs. Furthermore, it is shown that the heat flow is always from the stretching sheet to the fluid. © 2001 Elsevier Science Inc. All rights reserved.

Publication Date

12-15-2001

Publication Title

Applied Mathematics and Computation

Volume

124

Issue

3

Number of Pages

281-288

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0096-3003(00)00062-X

Socpus ID

0035892440 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0035892440

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