A New Numerical Solution of Maxwell Fluid over a Shrinking Sheet in the Region of a Stagnation Point
Author(s) -
S. S. Motsa,
Yasir Khan,
Stanford Shateyi
Publication year - 2012
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2012/290615
Subject(s) - stagnation point , stagnation temperature , mathematics , boundary layer , mathematical analysis , compressibility , ordinary differential equation , matrix similarity , partial differential equation , nonlinear system , flow (mathematics) , point (geometry) , mechanics , differential equation , physics , geometry , heat transfer , quantum mechanics
The mathematical model for the incompressible two-dimensional stagnation flow of aMaxwell fluid towards a shrinking sheet is proposed. The developed equations are used to discuss theproblem of being two dimensional in the region of stagnation point over a shrinking sheet. The nonlinear partialdifferential equations are transformed to ordinary differential equations by first-taking boundary-layerapproximations into account and then using the similarity transformations. The obtained equations arethen solved by using a successive linearisation method. The influence of the pertinent fluid parameterson the velocity is discussed through the help of graphs
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