ROTATING FLOW OVER A PERMEABLE SHRINKING SURFACE IN A NANOFLUID
SITI NUR ALWANI SALLEH
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.
NORFIFAH BACHOK *
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.
NORIHAN MD. ARIFIN
Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia.
*Author to whom correspondence should be addressed.
Abstract
An analysis has been made in order to study the effects of the rotating flow over a shrinking permeable surface in a water-based nanofluid. Three different types of nanoparticles namely, copper (Cu), alumina (Al2O3 ) and titania (TiO2) are considered by using water-based fluid with the Prandtl number Pr = 6.2 . The resulting systems of ordinary differential equations are solved numerically using a shooting method built in Maple Software for some values of the governing parameters. The influence of the rotation Ω , nanoparticle volume fraction φ and suction s parameters on the fluid flow and heat transfer characteristics are taken into account. The results for the skin friction coefficients, local Nusselt number, velocity as well as temperature profiles obtained are graphically presented and have been discussed in particular. The study revealed that the dual solutions exist in a certain range of the governing parameters.
Keywords: Rotating flow, shrinking permeable surface, nanofluid, dual solutions.