Linear stability of buoyant convective flow in a vertical channel with internal heat sources and a transverse magnetic field

Agnieszka Hudoba, Sergei Molokov

Research output: Contribution to journalArticle

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14 Downloads (Pure)

Abstract

Linear stability of buoyant convective flow of an electrically conducting fluid in a vertical channel owing to internal heat sources has been studied. The flow takes place in a transverse, horizontal magnetic field. The results show that up to four different local minima may be present in the neural stability curve. Up to two of these modes may be the most unstable depending, critically, on the value of the Hartmann number. Over a wide range of moderate to high Hartmann numbers thermal waves dominate the instability. As the Hartmann number increases, however, this mode is strongly damped. Then the so-called Hartmann mode takes over, which involves the characteristic Hartmann layers at the walls appearing due to modification of the basic velocity profile by the magnetic field. Overall, for liquid metals at high magnetic fields the basic flow is very stable. Variation of the Prandtl number in a wide range has also been performed as, depending on the type of an electrically conducting fluid (liquid metal or various kind of electrolytes), the Prandtl number varies over several orders of magnitude. As may be expected, the increase of the Prandtl number lowers the instability threshold for the thermal waves.
Original languageEnglish
Article number114103
JournalPhysics of Fluids
Volume28
Early online date4 Nov 2016
DOIs
Publication statusPublished - 21 Nov 2016

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convective flow
heat sources
Hartmann number
Prandtl number
conducting fluids
liquid metals
magnetic fields
velocity distribution
electrolytes
thresholds
curves

Bibliographical note

This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

The following article appeared in Hudoba, A. and Molokov, S. (2016) Linear stability of buoyant convective flow in a vertical channel with internal heat sources and a transverse magnetic field. Physics of Fluids, volume 28 : 114103 and may be found at http://dx.doi.org/10.1063/1.4965448

Cite this

Linear stability of buoyant convective flow in a vertical channel with internal heat sources and a transverse magnetic field. / Hudoba, Agnieszka; Molokov, Sergei.

In: Physics of Fluids, Vol. 28, 114103, 21.11.2016.

Research output: Contribution to journalArticle

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