THERMO-DIFFUSION AND DIFFUSO-THERMO EFFECTS ON MHD SQUEEZING FLOW BETWEEN PARALLEL DISKS

Sheikh Irfanullah Khan, Syed Tauseef Mohyud-Din () and Bandar Bin-Mohsin
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Sheikh Irfanullah Khan: Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan
Syed Tauseef Mohyud-Din: #x2020;Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia
Bandar Bin-Mohsin: #x2020;Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia

Surface Review and Letters (SRL), 2017, vol. 24, issue 02, 1-10

Abstract: In this article, Magnetohydrodynamic (MHD) squeezing flow between two parallel disks is considered. The upper disk is taken to be solid and the lower one is permeable. Soret and Dufour effects are measured to explore the thermal-diffusion and diffusion-thermo effects. Governing PDEs are converted into system of ODEs with the support of suitable similarity transforms. Homotopy analysis method (HAM) has been employed to obtain the expressions for velocity, temperature and concentration profiles. Effects of different emerging parameters such as squeezing number S, Hartman number M, Prandtl number Pr, Eckert number Ec, dimensionless length δ and Schmidt number Sc on the flow are also discussed with the help of graphs for velocity, temperature and concentration. The local Nusselt and Sherwood numbers along with convergence of the series solutions are presented with the help of graphs. From the results obtained, we observed that the physical quantities like skin friction coefficient increases with increasing value of Hartmann number M in the blowing case (A<0) whereas a fall is observed in the suction case (A>0). However, the rate of heat transfer at upper wall increases with increasing values of Dufour number Du and Soret number Sr for both the suction (A>0) and blowing flow (A<0), whereas, for the larger values of Dufour number Du and smaller values of Soret number Sr, a rapid fall is observed in Sherwood number Sh for both the suction (A>0) and blowing (A<0) cases. A numerical solution is obtained by employing Runge–Kutta method of order four (RK-4) to check the validity and reliability of the developed algorithm. A well agreement is found between both the solutions.

Keywords: Homotopy analysis method (HAM); Soret and Dufour effects; squeezing flow; parallel disks; Nusselt number; Sherwood number (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1142/S0218625X17500226

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