Aligned fields, magneto-fluid dynamic flow past bodies

Citation

Yonas, Gerold (1966) Aligned fields, magneto-fluid dynamic flow past bodies. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/XGWS-3X78. https://resolver.caltech.edu/CaltechETD:etd-09122002-094628

Abstract

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The drag of spheres and disks has been measured in a flow of liquid sodium with an aligned magnetic field. The experiments were carried out for 10[superscript 4] < Re < 25 x 10 [superscript 4] and N , the interaction parameter, satisfying 0.1 < N < 80 . The sphere C[subscript D] was not a function of N for N < or = 0.3, began to increase appreciably for N ~ 1.0 , and reached an asymptotic dependence proportional to [square root]N for N > 10 . The disk gave a C[subscript D] which was relatively unchanged for N< 10 , began to increase for N~10 , and had approximately the same value as for spheres for N > 20 . We conclude, that for high N , flows are characterized by C[subscript D] insensitive to body shape and emphasize this range in our discussion. A physical model is presented which involves stagnant regions which grow in length as N increases, and are separated from the outer flow by thin dissipation layers. A singular perturbation technique is suggested for the theoretical treatment of such layers.

Thesis Files