By Rothstein M.

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6. To realize an experiment using a channel with perfectly conducting walls is even more difficult from a practical point of view, since the electric conductivities of wall materials are of the same order of magnitude as the conductivity of the fluid. A reasonable approximation to the case of perfectly conducting channel walls was achieved Branover, Vasil'ev and Gelfgat (1967) who employed mercury as the test fluid and amalgamated copper as the wall material. 5. The agreement between the measured data points and the theoretical values are particularly good for small Hartmann numbers.

These features are sketched in Fig. lb. For strong external magnetic fields the flow in the core turns into a quasi-slug flow with thin boundary layers near the Hartmann walls. The electric conductivity of the channel walls influences the distribution of current in the fluid and determines the flow pattern. For insulating walls the currents close through the relatively thin Hartmann layers. Because these layers are very thin, their electric resistance is high so that the current magnitude is small.

52, Hartmann Branover and Gel'fgat (1968) performed local velocity measurements using Pitot tube probes. 52. 13 shows normalized measured local velocity values in comparison with the analytical predictions by Shercliff (1953). While the measurements can not resolve the Hartmann boundary layers the side layers are clearly identified by the measurements. As expected the velocity profile is fiat in the channel center even at these moderate Hartmann numbers. 2 Conducting Hartmann walls The case of conducting Hartmann walls and insulating side walls is covered by the analysis of Hunt (1965).

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Aspects of symbolic integration and simplification by Rothstein M.

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