Stokes Flow of an Electrically Conducting Fluid in a Uniform Magnetic Field
The flow of an incompressible, viscous, electrically conducting fluid past an obstacle in a uniform magnetic field is investigated using Stokes' approximation. No particular configuration of the flow and the magnetic field is assumed, so that the result applies to the general three-dimensional problems. It is found that the neutrality of the electric charge density does not hold exactly when the undisturbed magnetic field is not perpendicular to the vorticity vector. lt is also found that the vonticity and the electric current density are confined in a paraboloidal region, thus making a "wake" which extends in the direction of the undisturbed magnetic field. Distribution of the electric charge density also shows the same structure. Flow past a sphere is used as an example. The drag is obtained in a power series of the Hartmann number M. The component of the drag perpendicular to the undisturbed ntagnetic line of force is found to be larger than its parallel component. It is pointed out as an interesting feature of the three-dimensional cases that the velocity field includes components which express the two-dimensional irrotatioral flow. (auth)
- Research Organization:
- Kyoto Univ.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-14-014500
- OSTI ID:
- 4188300
- Journal Information:
- Journal of the Physical Society of Japan, Journal Name: Journal of the Physical Society of Japan Journal Issue: 4 Vol. 15; ISSN 0031-9015
- Publisher:
- Physical Society of Japan
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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