Abstract
The solution is obtained to the problem of the steady one-dimensional flow of an incompressible, viscous, electrically conducting fluid through a circular pipe in the presence of an applied (transverse) uniform magnetic field. A no-slip condition on the velocity is assumed at the non-conducting wall. The solution is exact and thus valid for all values of the Hartmann number. Excellent agreement exists between the present theoretical results and the experimental values obtained by Hartmann & Lazarus (1937) in the low to medium Hartmann number range. The high Hartmann number case is treated by Shercliff (1962) in the following paper.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference11 articles.
1. Shercliff, J. A. 1953 Proc. Camb. Phil. Soc. 49,136.
2. Shercliff, J. A. 1956 J. Fluid Mech. 1,644.
3. Shercliff, J. A. 1962 J. Fluid Mech. 13,513.
4. Fabri, J. & Siestrunck, R. 1960 Bull. Assoc. Tech. Maritime Aeronautiqe, no. 60,333.
5. Hartmann, J. 1937 Math.-fys. Medd. 15,6.
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