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On Ekman and Hartmann boundary layers in a rotating fluid

Ekman- und Hartmann-Grenzschichten in einem rotierenden Fluid

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Summary

An exact solution of the unsteady hydromagnetic boundary layer equation for an incompressible, viscous, electrically conducting rotating fluid with constant properties is derived to investigate the effects of the Coriolis and electromagnetic forces on the flow phenomena. The structures of the associated hydrodynamic and hydromagnetic multiple boundary layers are explicitly determined with several special limiting cases. A comparative study of the structures of the hydrodynamic and hydromagnetic boundary layers is presented.

Zusammenfassung

Eine exakte Lösung der instationären hydromagnetischen Grenzschichtgleichung eines inkompressiblen, viskosen, elektrisch leitenden und rotierenden Fluids mit konstanten Eigenschaften wird hergeleitet, um den Einfluß der Corioliskraft und der elektromagnetischen Kräfte auf Strömungserscheinungen zu studieren. Der Aufbau der zugehörigen hydrodynamischen und hydromagnetischen Grenzschichten wird, einschließlich mehrerer spezieller Grenzfälle bestimmt. Eine vergleichende Untersuchung des Aufbaues dieser Grenzschichten wird angegeben.

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Authors and Affiliations

  1. Mathematics Department, East Carolina University, 27834, Greenville, NC, USA

    L. Debnath

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  1. L. Debnath
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Debnath, L. On Ekman and Hartmann boundary layers in a rotating fluid. Acta Mechanica 18, 333–341 (1973). https://doi.org/10.1007/BF01178562

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  • DOI: https://doi.org/10.1007/BF01178562

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