The Solution of a Coupled Nonlinear System Arising in a Three-Dimensional Rotating Flow Using Spline Method | Zendy

Jigisha U. Pandya | Zendy

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The Solution of a Coupled Nonlinear System Arising in a Three-Dimensional Rotating Flow Using Spline Method

Author(s) -

Jigisha U. Pandya

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/702458

Subject(s) - mathematics , mathematical analysis , nonlinear system , ordinary differential equation , collocation method , partial differential equation , axial symmetry , flow (mathematics) , vector field , mechanics , classical mechanics , geometry , differential equation , physics , quantum mechanics

The behavior of the non-linear-coupled systems arising in axially symmetric hydromagnetics flow between two horizontal plates in a rotating system is analyzed, where the lower is a stretching sheet and upper is a porous solid plate. The equations of conservation of mass and momentum are transformed to a system of coupled nonlinear ordinary differential equations. These equations for the velocity field are solved numerically by using quintic spline collocation method. To solve the nonlinear equation, quasilinearization technique has been used. The numerical results are presented through graphs, in which the effects of viscosity, through flow, magnetic flux, and rotational velocity on velocity field are discussed

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