Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bluck, M.J., Wolfendale, M.J.: An analytical solution to electromagnetically coupled duct flow in MHD. J. Fluid Mech. 771, 595–623 (2015)
Carabineanu, A., Dinu, A., Oprea, I.: The application of the boundary element method to the magnetohydrodynamics duct flow. Z. Angew. Math. Phys. 46, 971–981 (1995)
Dragos, L.: Magnetofluid Dynamics. Abacus Press, Preston (1975)
Lungu, E., Pohoata, A.: Finite element-boundary element approach of MHD pipe flow. In: Proceedings of Conference in Fluid Mechanics and Technical Applications, pp. 79–88 (2005)
Meir, A.J.: Finite element analysis of magnetohydrodynamic pipe flow. Appl. Math. Comput. 57, 177–196 (1993)
Muller, U., Buhler, L.: Magnetofluiddynamics in Channels and Containers. Springer, Berlin (2001)
Partridge, P.W., Brebbia, C.A., Wrobel, L.C.: The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications, Sauthampton, (1992)
Sheu, Y.W.H., Lin, R.K.: Development of a convection-diffusion-reaction magnetohydrodynamic solver on nonstaggered grids. Int. J. Numer. Methods Fluids 45, 1209–1233 (2004)
Tezer-Sezgin, M., Bozkaya, C.: Boundary element method solution of magnetohydrodynamic flow in a rectangular duct with conducting walls parallel to applied magnetic field. Comput. Mech. 41, 769–775 (2008)
Tezer-Sezgin, M., Han Aydin, S.: BEM solution of MHD flow in a pipe coupled with magnetic induction of exterior region. Computing 95, S751–S770 (2013)
Tezer-Sezgin, M., Han Aydin, S.: FEM solution of MHD flow in an array of electromagnetically coupled rectangular ducts. Prog. Comput. Fluid Dyn. (in press)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Tezer-Sezgin, M., Senel, P. (2019). DRBEM Solution of MHD Flow in an Array of Electromagnetically Coupled Rectangular Ducts. In: Faragó, I., Izsák, F., Simon, P. (eds) Progress in Industrial Mathematics at ECMI 2018. Mathematics in Industry(), vol 30. Springer, Cham. https://doi.org/10.1007/978-3-030-27550-1_34
Download citation
DOI: https://doi.org/10.1007/978-3-030-27550-1_34
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-27549-5
Online ISBN: 978-3-030-27550-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)