Abstract

The effects of a uniform external magnetic field on the thermomagnetic convection of magnetic fluid in a cylindrical enclosure are numerically studied. It was found that uniform magnetic field can be cause the convection in the non-uniformly heated magnetic fluid in a cylindrical enclosure even in the case of zero gravity. There are two threshold values of fluid magnetization and temperature gradient. Above the first threshold the convective flow is realized as circular flow, above the second one there are two cells in the enclosure. The angle between a magnetic field strength and a temperature gradient is found to be significant factor influencing structure of a convective flow and heat transfer control.

Highlights

  • Natural convection of magnetic fluids has attracted much research over the years [1 – 6]

  • We study the effect of the uniform external magnetic field on 2D-convection in the cylindrical enclosure in order to understand the results of [14] too

  • The buoyancy-induced thermal convection under external uniform magnetic field is numerically studied in a cylindrical enclosure

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Summary

Introduction

Natural convection of magnetic fluids has attracted much research over the years [1 – 6]. The additional body force μ0M∇H gives an opportunity to control the natural convection under magnetic field This ponderomotive Kelvin force drives the stronger magnetized colder fluid to the regions with a stronger magnetic field. It is shown that uniform transversal external magnetic field becomes nonuniform in the infinite layer of a heated magnetic fluid and influence a convection. It is interesting to exclude the factor of geometry and study the convection in the situation when the external magnetic field remains uniform in an enclosure. Such enclosure with finite dimension would be very convenient both for theoretical and experimental investigation. We study the effect of the uniform external magnetic field on 2D-convection in the cylindrical enclosure in order to understand the results of [14] too

Physical model
Momentum equation
Magnetic field
Boundary conditions
Dimensionless form of the equations
Numerical method
Results and Discussion
Conclusions
Full Text
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