Title
Analytic Solution For Axisymmetric Flow Over A Nonlinearly Stretching Sheet
Keywords
Axisymmetric flow; Convergence; HAM solution; Nonlinear stretching sheet
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. © 2007 Springer-Verlag.
Publication Date
2-1-2008
Publication Title
Archive of Applied Mechanics
Volume
78
Issue
2
Number of Pages
127-134
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s00419-007-0146-9
Copyright Status
Unknown
Socpus ID
37249024223 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/37249024223
STARS Citation
Sajid, M.; Hayat, T.; Asghar, S.; and Vajravelu, K., "Analytic Solution For Axisymmetric Flow Over A Nonlinearly Stretching Sheet" (2008). Scopus Export 2000s. 10674.
https://stars.library.ucf.edu/scopus2000/10674