Advertisement

DRBEM Solution of MHD Flow in an Array of Electromagnetically Coupled Rectangular Ducts

  • Munevver Tezer-SezginEmail author
  • Pelin Senel
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 30)

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.

References

  1. 1.
    Bluck, M.J., Wolfendale, M.J.: An analytical solution to electromagnetically coupled duct flow in MHD. J. Fluid Mech. 771, 595–623 (2015)MathSciNetCrossRefGoogle Scholar
  2. 2.
    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)MathSciNetCrossRefGoogle Scholar
  3. 3.
    Dragos, L.: Magnetofluid Dynamics. Abacus Press, Preston (1975)Google Scholar
  4. 4.
    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)Google Scholar
  5. 5.
    Meir, A.J.: Finite element analysis of magnetohydrodynamic pipe flow. Appl. Math. Comput. 57, 177–196 (1993)MathSciNetzbMATHGoogle Scholar
  6. 6.
    Muller, U., Buhler, L.: Magnetofluiddynamics in Channels and Containers. Springer, Berlin (2001)CrossRefGoogle Scholar
  7. 7.
    Partridge, P.W., Brebbia, C.A., Wrobel, L.C.: The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications, Sauthampton, (1992)zbMATHGoogle Scholar
  8. 8.
    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)CrossRefGoogle Scholar
  9. 9.
    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)CrossRefGoogle Scholar
  10. 10.
    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)MathSciNetCrossRefGoogle Scholar
  11. 11.
    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)Google Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsMiddle East Technical UniversityAnkaraTurkey
  2. 2.Department of MathematicsKaradeniz Technical UniversityTrabzonTurkey

Personalised recommendations