A Spectral Relaxation Approach for Unsteady Boundary-Layer Flow and Heat Transfer of a Nanofluid over a Permeable Stretching/Shrinking Sheet | Zendy

S. S. Motsa | Zendy; Precious Sibanda | Zendy; Jean Medard T. Ngnotchouye | Zendy; G. T. Marewo | Zendy

Open Access

A Spectral Relaxation Approach for Unsteady Boundary-Layer Flow and Heat Transfer of a Nanofluid over a Permeable Stretching/Shrinking Sheet

Author(s) -

S. S. Motsa,

Precious Sibanda,

Jean Medard T. Ngnotchouye,

G. T. Marewo

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/564942

Subject(s) - nonlinear system , relaxation (psychology) , nanofluid , boundary layer , spectral method , boundary value problem , viscoelasticity , mechanics , flow (mathematics) , heat transfer , dual (grammatical number) , materials science , computer science , mathematics , mathematical analysis , physics , composite material , social psychology , psychology , art , literature , quantum mechanics

This paper introduces two novel numerical algorithms for the efficient solution of coupled systems of nonlinear boundary value problems. The methods are benchmarked against existing methods by finding dual solutions of the highly nonlinear system of equations that model the flow of a viscoelastic liquid of Oldroyd-B type in a channel of infinite extent. The methods discussed here are the spectral relaxation method and spectral quasi-linearisation method. To verify the accuracy and efficiency of the proposed methods a comparative evaluation of the performance of the methods against established numerical techniques is given

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