Flow of Ferrofluid Over an Inclined Stretching Sheet in the Presence of a Magnetic Dipole

L. S. Rani Titus () and Annamma Abraham ()
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L. S. Rani Titus: Jyoti Nivas College, Department of Mathematics
Annamma Abraham: BMS Institute of Technology and Management, Department of Mathematics

Chapter Chapter 4 in Transactions on Engineering Technologies, 2019, pp 41-57 from Springer

Abstract: Abstract The flow of ferrofluid due to inclined stretching sheet in the presence of a magnetic dipole with velocity varying linearly is studied to provide a window to a general possibility that can be looked into in a stretching sheet problem. The elastic sheet is stretched at an angle to the horizontal into the ferrofluid. The fluid momentum and thermal energy equations are formulated as a six parameter problem. Extensive computation on the velocity and temperature profiles is presented for a wide range of values of the parameters. It was found that the primary effect of the magneto-thermo mechanical interaction is to decelerate the fluid motion as compared to the hydrodynamic case. As the angle of inclination to the horizontal, θ, of the stretching sheet increases, the momentum boundary layer thickness increases and the gravity effects becomes prominent. The inclination reduces the thermal boundary layer thickness. The horizontal and vertical stretching sheet problems are shown to be the limiting cases of the inclined sheet problem.

Keywords: Ferromagnetic liquid; Grashof number; Magnetic dipole; Prandtl number; Runge-Kutta-Fehlberg method; Stretching sheet; Shooting method (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-32-9531-5_4

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DOI: 10.1007/978-981-32-9531-5_4

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