2016 International Symposium on Nanofluid Heat and Mass Transfer in Textile Engineering and 5th International Symposium on Nonlinear Dynamics


Journal: Nonlinear Science Letters A
(ISSN 2519-9072(Online), ISSN 2076-2275 (Print))          Vol. 1 No. 1
On exact solution for concentric n-layer flow of viscous fluids in a pipe
A.M. Siddiquia, Q. A. Azimb, M. A. Ranac
a. Department of Mathematics, Pennsylvania State University, York Campus, York, PA 17403, USA
b. Department of Mathematics, COMSATS Institute of Information Technology, Plot 30, H-8/1, Islamabad, Pakistan
c. Management Information System Division, PINSTECH, P.O. Nilore, Islamabad, Pakistan
Abstract: The flow of concentric layers of incompressible and immiscible viscous fluids in a pipe is modelled and studied. Such a flow model has great significance both theoretically and in applications to the petroleum and chemical industries. The exact solutions for velocity fields and volume flow rates are presented and it is shown that a unique maximum velocity always exists in the core of the pipe for any number of fluid layers. The volume flow rate of two-layer flows in a channel is also found to be controllable by using immiscible fluids of different viscosities. The effects of appropriate parameters on the velocity profiles are presented graphically for two-layer and multi-layer flows.

Keywords: Multi-layer channel flows; Immiscible fluids; Exact solutions

Biographical Notes: M.A. Rana is a professor at PINSTECH and his main research interest is in the mathematical modeling of Newtonian/non-Newtonian fluid flows and their analytical and numerical solution techniques. He has published 14 articles in ISI-listed journals and his H-index is 15.

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