Abstract
A variational formulation is presented for a class of magnetohydrodynamic (MHD) channel flow problems. This formulation yields solutions for the fluid velocity and the induced electric potential in a channel with a uniform transverse static magnetic field. The channel cross-section is constant but arbitrary, and the channel walls can be either insulators or conductors with finite electrical conductivity. Electric currents are permitted to enter and leave the channel walls so that the solutions are suitable for MHD generator and pump applications. An example of a square channel with conducting walls is solved as an illustration.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference6 articles.
1. Shercliff, J. A. 1953 Proc. Camb. Phil. Soc. 49,13.
2. Chu, W. H. 1969 J. Appl. Mech. 36,70.
3. Tani, I. 1962 J. Aerospace Sci. 29,29.
4. Hunt, J. C. R. 1969 Proc. Camb. Phil. Soc. 65,31.
5. Chang, C. C. & Lundgren, T. S. 1961 Z. angew. Math. Mech. 12,10.
Cited by
13 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献