The effect of a transverse magnetic field on the steady motion of a conducting, viscous and incompressible liquid through a pipe of circular crosssection, coiled in a circle is studied ill this paper. The solution is obtained by successive approximations in ascending powers of the I-Iartmann number;
Magnetohydrodynamic pipe flow with reverse motion
โ Scribed by Ranger, K. B.
- Publisher
- Springer
- Year
- 1974
- Tongue
- English
- Weight
- 472 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0003-6994
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โฆ Synopsis
An exact solution of the ~Yfagnetohydrodynalnic pipe flow equations is found in terms of elementary functions. As the Hartmann number increases from zero reverse motion in tile pipe occurs and eventually separates from the boundary. With further increase in the Hartmann number the vorticity on the boundary continuously changes sign and the flow is analogous to laminar separation in field free hydrodynamics.
๐ SIMILAR VOLUMES
This paper establishes exponential decay bounds for steady magnetohydrodynamic pipe ow when homogeneous lateral surface boundary conditions are applied. In the spirit of earlier work of Ames and Payne (SIAM J. Math. Anal. 20 (1989) 789) and Horgan and Wheeler (SIAM J. Appl. Math. 35 (1978) 97), the