MAGNETOHYDRODYNAMIC FLOW IN ELECTRODYNAMICALLY COUPLED RECTANGULAR DUCTS

Date

1988-06-01

Author

Tezer, Münevver

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In Sezgin1,2 the problems considered are the magnetohydrodynamic (MHD) flows in an electrodynamically conducting infinite channel and in a rectangular duct respectively, in the presence of an applied magnetic field. In the present paper we extend the solution procedure of these papers to two rectangular channels connected by a barrier which is partially conductor and partially insulator. The problem has been reduced to the solution of a pair of dual series equations and then to the solution of a Fredholm's integral equation of the second kind. The infinite series obtained were transformed to finite integrals containing Bessel Junctions of the second kind to avoid the computations of slowly converging infinite series and infinite integrals with oscillating integrands. The results obtained compared well with those of Butsenieks and Shcherbinin3 which were obtained for the perfectly conducting barrier separating the flows.

Subject Keywords

Mechanical Engineering, Mechanics of Materials, Applied Mathematics, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/39570

Journal

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

DOI

https://doi.org/10.1002/fld.1650080607

Collections

Department of Mathematics, Article

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Citation Formats

M. Tezer, “MAGNETOHYDRODYNAMIC FLOW IN ELECTRODYNAMICALLY COUPLED RECTANGULAR DUCTS,” INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, pp. 705–722, 1988, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39570.