ROTATING BOUNDARY LAYER FLOW DUE TO A PERMEABLE EXPONENTIALLY SHRINKING  SHEET IN NANOFLUID

S.N.A. Salleh, N. Bachok, N.M. Arifin

IJPAM: Volume 112, No. 1 (2017)

Title

ROTATING BOUNDARY LAYER FLOW DUE TO
A PERMEABLE EXPONENTIALLY SHRINKING
SHEET IN NANOFLUID

Authors

S.N.A. Salleh

, N. Bachok

, N.M. Arifin

Department of Mathematics and Institute for
Mathematical Research
Universiti Putra Malaysia
43400 UPM Serdang, Selangor, MALAYSIA

Abstract

In this study, the effect of the suction on the boundary layer flow and heat transfer characteristics over an exponentially shrinking surface in a rotating nanofluid is contemplated for three types of nanoparticles namely, copper Cu, titania TiO

and alumina Al

. Similarity transformations have been applied to transform the partial differential equations into a system of ordinary differential equations, which are then solved numerically using a shooting method in Maple software. The effects of the rotation $\Omega$ , suction

and nanoparticle volume fraction $\varphi$ parameters on the velocity field, temperature distribution, local skin friction coefficients and local Nusselt number are taken into account. Results obtain in this study are graphically presented and further discussion have been discussed in detail. The dual solutions are found to exist for a certain values of the governing parameters. It is revealed from the study that the presence of the rotation would increase the skin friction coefficients and heat transfer rate at the surface.

History

Received: June 28, 2016
Revised: October 5, 2016
Published: January 26, 2017

AMS Classification, Key Words

AMS Subject Classification: 76D10, 76U05, 80A20
Key Words and Phrases: exponentially shrinking sheet, nanofluid, rotating flow, suction

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How to Cite?

DOI: 10.12732/ijpam.v112i1.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 112
Issue: 1
Pages: 57 - 69

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