MHD fluid flow and heat transfer due to a stretching rotating disk

The steady MHD laminar flow of an electrically conducting fluid on a radially stretchable rotating disk in the presence of a uniform vertical magnetic field is the subject of the present paper. The problem is an extension of the well-known von Karman viscous pump problem to the configuration with a...

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Bibliographic Details
Published in:International journal of thermal sciences Vol. 51; pp. 195 - 201
Main Author: Turkyilmazoglu, Mustafa
Format: Journal Article
Language:English
Published: Kidlington Elsevier Masson SAS 2012
Elsevier
Subjects:
Applied sciences
Conducting fluid
Differential equations
Energy
Energy. Thermal use of fuels
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Heat transfer
Joule heating
Laminar boundary layers
Laminar flow
Laminar flows
Magnetohydrodynamics
Magnetohydrodynamics and electrohydrodynamics
Mathematical analysis
MHD
Physics
Radial stretching
Rotating disk
Rotating disks
Shear stress
Stretching
Theoretical studies. Data and constants. Metering
Shear stress
Radial stretching
Conducting fluid
Rotating disk
Heat transfer
Joule heating
Temperature distribution
Digital simulation
Velocity distribution
MHD flow
Laminar flow
Modelling
Magnetic fields
Viscous dissipation
Boundary layers
Stretching
ISSN:1290-0729, 1778-4166
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Summary:The steady MHD laminar flow of an electrically conducting fluid on a radially stretchable rotating disk in the presence of a uniform vertical magnetic field is the subject of the present paper. The problem is an extension of the well-known von Karman viscous pump problem to the configuration with a stretchable disk with or without rotation first imposed in [1]. The governing equations of motion are reduced to a set of nonlinear differential equations by means of conventional similarity transformations. Energy equation accounts for the viscous dissipation and Joule heating terms. Employing a highly accurate spectral numerical integration scheme, the effects of a rotation parameter based on the wall stretching and angular velocity are examined. The quantities of particular physical interest, such as the torque, the wall shear stresses, the vertical suction velocity and the rate of heat transfer are calculated and discussed. ► Increase of the rotation parameter dramatically increases the near disk velocities. ► The presence of magnetic field acts to reduce the velocity of fluid particles. ► As the rotation parameter grows, all the physical quantities increase. ► Addition of the Joule heating enhances the rate of heat transfer. ► Radial stretching of the disk can overcome the wall heating.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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ISSN:1290-0729
1778-4166
DOI:10.1016/j.ijthermalsci.2011.08.016