Analytic solution for axisymmetric flow over a nonlinearly stretching sheet

    Authors

    M. Sajid; T. Hayat; S. Asghar;K. Vajravelu

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    WOS:000251648500005

    ISSN

    0939-1533

    Share

    COinS