Title: The transverse curvature effects of non-Newtonian flow past a slender parabolic body of revolution

Authors: Purvi Naik; Vishwambhar S. Patil; M.G. Timol

Addresses: Department of Mathematics, Shroff S.R. Rotary Institute of Chemical Technology, Vataria-393001, India ' Mukesh Patel School of Technology Management and Engineering, Narsee Monjee Institute of Management Studies (deemed to be university), Mumbai-Agra Road, Shirpur-425405, India ' Department of Mathematics, Veer Narmad South Gujarat University, Magdulla Road, Surat – 395007, India

Abstract: The Levy Lee transformations are modified with the aim of transforming nonlinear partial differential equations of boundary value type governing the steady two dimensional incompressible boundary layer flows of non-Newtonian power-law fluids past a slender parabolic body of revolution into nonlinear ordinary differential equation with appropriate boundary conditions. The transverse curvature effect of the present flow situation is studied theoretically using group-theoretic initial value technique. It is concluded that the slope of the velocity profile is greatly influenced by transverse curvature and suction or blowing parameters.

Keywords: slender bodies; Levy Lee transformations; transverse curvature effect; suction parameters; blowing parameters; transformation methods; initial value technique; non-Newtonian flow; parabolic body of revolution; fluid flow; nonlinear PDEs; partial differential equations; group theory; velocity profile.

DOI: 10.1504/IJCSM.2015.072961

International Journal of Computing Science and Mathematics, 2015 Vol.6 No.5, pp.510 - 518

Received: 10 Jul 2013
Accepted: 08 Feb 2014

Published online: 10 Nov 2015 *

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