Analytic solution for axisymmetric flow over a nonlinearly stretching sheet
Abbreviated Journal Title
Arch. Appl. Mech.
axisymmetric flow; nonlinear stretching sheet; HAM solution; convergence; HOMOTOPY ANALYSIS METHOD; OLDROYD 6-CONSTANT FLUID; CONVECTED MAXWELL; FLUID; NON-NEWTONIAN FLUIDS; HEAT-TRANSFER; MAGNETOHYDRODYNAMIC FLOWS; MAGNETIC-FIELD; VISCOUS-FLOW; PLATE; 2ND-GRADE; Mechanics
An analysis is performed for the boundary-layer flow of a viscous fluid over a nonlinear axisymmetric stretching sheet. By introducing new nonlinear similarity transformations, the partial differential equations governing the flow are reduced to an ordinary differential equation. The resulting ordinary differential equation is solved using the homotopy analysis method (HAM). Analytic solution is given in the form of an infinite series. Convergence of the obtained series solution is explicitly established. The solution for an axisymmetric linear stretching sheet is obtained as a special case.
Archive of Applied Mechanics
"Analytic solution for axisymmetric flow over a nonlinearly stretching sheet" (2008). Faculty Bibliography 2000s. 919.