Abstract
In the previous paper (Chester 1961) it was shown that, for large values of the Hartmann number, the asymptotic solution for the flow past a body of revolution has a discontinuity on the surface of a cylinder which circumscribes the body. The flow in the region of this discontinuity is now investigated in more detail when the body is a circular disk broadside-on to the flow. It will be shown that there is actually a region of transition whose thickness is O(|x|½/M½), where x is the axial distance from the disk and M is the Hartmann number. This region is thin near the disk, but gradually thickens until it merges into the over-all flow field for x = O(M).The leading terms in the expression for the drag are given by
$\frac{D}{D_s} = \frac{M \pi }{8} \left( 1 + \frac{2}{M} \right) $,
where Ds is the Stokes drag.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference5 articles.
1. Lamb, H. 1932 Hydrodynamics , 6th ed. Cambridge University Press.
2. Chester, W. 1957 J. Fluid Mech. 3, 304.
3. Chester, W. 1961 J. Fluid Mech. 3, 459.
4. Gunn, J. C. 1947 Phil. Trans. A, 240, 327.
5. Chester, W. 1950 Phil. Trans. A, 242, 527.
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