# DRBEM solution of the cauchy problem for MHD rectangular duct flow

2017-04-27
Aydın, Cemre
Tezer, Münevver
This study presents MHD rectangular duct flow as a Cauchy problem with overdetermined and underdetermined condi tions on the opposite parts of the duct walls. The governing coupled convection - diffusion type equations are solved using the dual reciprocity boundary element method (DRBEM). The problem is reformulated as an inverse problem by using the direct solution a nd solved with Tikhonov regularization. The optimal parameter is computed from the L - curve procedure including noisy data to the overdetermined conditions. Both cases of insulated and conducting vertical walls are considered for obtaining the slip velocity and conducting current on the underdetermined wall. I t is found, as Hartmann number increases slip velocity is observed as a secondary flow and the current conductivity is clearly seen on the left vertical wall. The DRBEM has the advantage of computing th e solution and its normal derivative on the boundary which makes possible to determine slip length and conductivity parameter from inverse formulation.
International worshop on mathematical methods in engineering, 27 - 29 Nisan 2017

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Citation Formats
C. Aydın and M. Tezer, “DRBEM solution of the cauchy problem for MHD rectangular duct flow,” presented at the International worshop on mathematical methods in engineering, 27 - 29 Nisan 2017, Çankaya Üniversitesi, Ankara, 2017, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/86441.