Ferromagnetic Liquid Flow due to Gravity-Aligned Stretching of an Elastic Sheet

The flow of a ferromagnetic liquid due to gravity-aligned stretching of an elastic sheet in the presence of a magnetic dipole is considered. The fluid momentum and thermal energy equations are formulated as a six parameter problem and a numerical study is made using the shooting method based on Rung...

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Bibliographic Details
Published inJournal of Applied Fluid Mechanics Vol. 8; no. 3; pp. 591 - 600
Main Authors Titus, L S Rani, Abraham, A
Format Journal Article
LanguageEnglish
Published Isfahan Isfahan University of Technology 01.07.2015
Subjects
Computational fluid dynamics
Deceleration
Elastic sheets
Ferromagnetic liquid; Magnetic dipole; Stretching sheet; Grashof number; Prandtl number; Shooting method
Ferromagnetic materials
Ferromagnetism
Fluid flow
Fluids
Gravitation
Industrial applications
Liquid flow
Liquids
Magnetic dipoles
Mathematical analysis
Mathematical models
Newton-Raphson method
Parameters
Stretching
Temperature profiles
Thermal energy
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Summary:The flow of a ferromagnetic liquid due to gravity-aligned stretching of an elastic sheet in the presence of a magnetic dipole is considered. The fluid momentum and thermal energy equations are formulated as a six parameter problem and a numerical study is made using the shooting method based on Runge - Kutta Fehlberg and Newton Raphson methods. 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 magnetothermomechanical interaction is to decelerate the fluid motion as compared to the hydrodynamic case. The results have possible industrial applications in ferromagnetic liquid based systems involving stretchable materials.
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ISSN:1735-3572
1735-3645
DOI:10.18869/acadpub.jafm.67.222.21973