Title
Analytic solution for axisymmetric flow over a nonlinearly stretching sheet
Abbreviated Journal Title
Arch. Appl. Mech.
Keywords
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
Abstract
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.
Journal Title
Archive of Applied Mechanics
Volume
78
Issue/Number
2
Publication Date
1-1-2008
Document Type
Article
Language
English
First Page
127
Last Page
134
WOS Identifier
ISSN
0939-1533
Recommended Citation
"Analytic solution for axisymmetric flow over a nonlinearly stretching sheet" (2008). Faculty Bibliography 2000s. 919.
https://stars.library.ucf.edu/facultybib2000/919
Comments
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