Viscous flow over a nonlinearly stretching sheet
Abbreviated Journal Title
Appl. Math. Comput.
viscous flow; stretching sheet; nonlinear system; analytical solution; numerical solution; HEAT-TRANSFER; VISCOELASTIC FLUID; SUCTION; PAST; Mathematics, Applied
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 theta 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. (C) 2001 Elsevier Science Inc. All rights reserved.
Applied Mathematics and Computation
"Viscous flow over a nonlinearly stretching sheet" (2001). Faculty Bibliography 2000s. 2984.