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J. Shercliff (1956)
The flow of conducting fluids in circular pipes under transverse magnetic fieldsJournal of Fluid Mechanics, 1
J. Shercliff (1956)
Entry of conducting and non-conducting fluids in pipesMathematical Proceedings of the Cambridge Philosophical Society, 52
J. Uhlenbusch, E. Fischer (1961)
Hydromagnetische Strömung im kreiszylindrischen RohrZeitschrift für Physik, 164
W. Dean (1928)
LXXII. The stream-line motion of fluid in a curved pipe (Second paper)Philosophical Magazine Series 1, 5
S. Singh, G. Nariboli (1964)
Asymptotic solution for the Hartmann problem through circular tubeApplied Scientific Research, Section B, 11
J. Shercliff (1953)
Steady motion of conducting fluids in pipes under transverse magnetic fieldsMathematical Proceedings of the Cambridge Philosophical Society, 49
J. Jones (1960)
FLOW OF A NON-NEWTONIAN LIQUID IN A CURVED PIPEQuarterly Journal of Mechanics and Applied Mathematics, 13
W. Dean (1927)
XVI. Note on the motion of fluid in a curved pipePhilosophical Magazine Series 1, 4
R. Gold (1962)
Magnetohydrodynamic pipe flow. Part 1Journal of Fluid Mechanics, 13
SummaryThe effect of a transverse magnetic field on the steady motion of a conducting, viscous and incompressible liquid through a pipe of circular crossection, coiled in a circle is studied in this paper. The solution is obtained by successive approximations in ascending powers of the Hartmann number; the first approximation corresponds to the non-magnetic case, formulated and discussed by Dean1). It is assumed that the walls of the pipe are nonconducting and the radius of the cross-section is small in comparison with that of the circle in which the pipe is coiled. The stream-lines in the central plane and the projection of the stream-lines on a normal section are shown graphically and are compared with those of a non-conducting fluid.
Applied Scientific Research, Section B – Springer Journals
Published: Oct 1, 1965
Keywords: Central Plane; Transverse Magnetic Field; Hartmann Number; Circular Pipe; Normal Section
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