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DRBEM Solution of MHD Flow in an Array of Electromagnetically Coupled Rectangular Ducts
Date
2019-01-01
Author
Tezer, Münevver
ŞENEL, PELİN
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We present the dual reciprocity boundary element method (DRBEM) solution to magnetohydrodynamic (MHD) flow in a single and two parallel ducts which are separated by conducting walls of arbitrary thickness in the direction of external magnetic field. The DRBEM discretized coupled MHD convection-diffusion equations in the ducts and the Laplace equations on the shared walls are solved as a whole by using constant boundary elements with the coupled induced current wall conditions. It is shown that, the conducting walls in the double ducts have a strong influence on the currents near the walls, and the core flow increases on the co-flow case but there is a strong reduction in the core flow in the counter-flow case. The coupling between the ducts with conducting thick walls induces reversed flow and counter current flows which may be used for the heat and mass transfer in fusion applications. The proposed numerical scheme using DRBEM captures the well-known MHD flow characteristics when Hartmann number increases.
URI
https://hdl.handle.net/11511/101691
DOI
https://doi.org/10.1007/978-3-030-27550-1_34
Conference Name
20th European Conference on Mathematics for Industry (ECMI)
Collections
Department of Mathematics, Conference / Seminar
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Senel, P.; Tezer-Sezgin, M. (Elsevier BV, 2019-11-01)
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In this thesis, the direct and inverse problems of the MHD flow in rectangular ducts are solved in terms of the velocity of the fluid and the induced magnetic field by using the Dual Reciprocity Boundary Element Method (DRBEM). The two-dimensional, steady flow of a viscous, incompressible, and electrically conducting fluid is considered under the effect of an externally applied mangetic field. The duct wall conditions for the MHD flow ranges from the no-slip to slip and insulated to perfectly conducting. In...
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M. Tezer and P. ŞENEL, “DRBEM Solution of MHD Flow in an Array of Electromagnetically Coupled Rectangular Ducts,” Budapest, Macaristan, 2019, vol. 30, Accessed: 00, 2023. [Online]. Available: https://hdl.handle.net/11511/101691.
