Journal of Zhejiang University SCIENCE A
ISSN 1673-565X(Print), 1862-1775(Online), Monthly

2007   Vol. 8   No. 5   p. 766~771

Existence and uniqueness theorem for flow and heat transfer of a non-Newtonian fluid over a stretching sheet

SAHOO Bikash^†, SHARMA H.G.

(Department of Mathematics, Indian Institute of Technology Roorkee, Uttaranchal 247667, India)
^†E-mail: bikasdma@iitr.ernet.in
Received Apr. 19, 2006 revision accepted Jan. 15, 2007

Abstract: Analysis is carried out to study the existence, uniqueness and behavior of exact solutions of the fourth order nonlinear coupled ordinary differential equations arising in the flow and heat transfer of a viscoelastic, electrically conducting fluid past a continuously stretching sheet. The ranges of the parametric values are obtained for which the system has a unique pair of solutions, a double pair of solutions and infinitely many solutions.

Key words: Viscoelastic fluid, Stretching sheet, MHD flow, Heat transfer, Nonlinear systems, Existence, Uniqueness
doi:10.1631/jzus.2007.A0766             CLC number: TQ018 ; TE624.41

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