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An Approximate Solution of the two dimensional Unsteady Flow due to Normally Expanding or Contracting Parallel Plates


Author(s):

Vishal V. Patel , Assistant professor, Department of Mathematics, Shankersinh Vaghela Bapu Institute of Technology, Gandhinagar, Gujarat; Jigisha U. Pandya, Assistant professor, Department of Mathematics, Sarvajanik college of Engineering & Technology, Surat, Gujarat

Keywords:

Fourth Order Ordinary Differential Equation, Quasilinearization, Quintic Spline Collocation, Upper Triangular Matrix, Squeeze Number

Abstract:

The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for the two-dimensional flow is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into linear differential equation using quasilinearization technique. The solution of the problem is obtained by Quintic spline collocation method. Graphical results are presented to investigate the influence of the squeeze number on the velocity, skin friction, and pressure gradient. The validity of our solution is verified by analytic results obtained by homotopy perturbation method (HPM).


Other Details:

Manuscript Id :IJSTEV2I8024
Published in :Volume : 2, Issue : 8
Publication Date: 01/03/2016
Page(s): 92-97
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