### The DRBEM solution of Cauchy MHD duct flow with a slipping and variably conducting wall using the well-posed iterations

#### Abstract

#### Keywords

#### Full Text:

PDF#### References

Dragos, L. (1975). Magnetofluid Dynamics. Abacus Press, England.

Shercliff, J.A. (1953). Steady motion of conducting fluids in pipes under transverse fields. Proc. Cambridge Philos. Soc, 49, 136-144.

Ligere, E., Dzenite, I., Matvejevs, A. (2017). Analytical solution of the problem on MHD flow in duct with perfectly conducting Hartmann walls and slip condition on conducting side walls. Proc. of the Engineering for Rural Development. Jelgava.

Ligere, E., Dzenite, I., Matvejevs, A. (2016). MHD Flow in the duct with perfectly conducting Hartmann walls and slip condition on side walls. Proc. of the 10th Pamir International Conference- Fundamental and Applied MHD. Cagliari-Italy.

Aydın, S.H., Tezer-Sezgi, M. (2014). DRBEM solution of MHD pipe flow in a conducting Medium. Journal of Computational and Appllied Mathematics, 259, 720–729.

Bozkaya, C., Tezer-Sezgin, M. (2007). Fundamental solution for coupled magnetohydrodynamic flow equations. Journal of Computational and Applied Mathematics, 203, 125–144.

Nesliturk, A.I., Tezer-Sezgin, M. (2006). Finite element method solution of electrically driven magnetohydrodynamic flow. Journal of Computational and Applied Mathematics, 192, 339–352.

Tezer-Sezgin, M., Aydin, S.H. (2006). Solution of MHD flow problems using the boundary element method. Engineering Analysis with Boundary Elements, 30(5), 411–418.

Marin, L., Elliott, L., Heggs, P.J., Ingham, D.B., Lesnic, D., Wen, X. (2006). Dual reciprocity boundary element method solution of the Cauchy problem for Helmholtz-type equations with variable coefficients. Journal of Sound and Vibration, 297, 89–105.

Partridge, P.W., Brebbia, C.A., Wrobel, L.C. (1992). The Dual Reciprocity Boundary Element Method. Computational Mechanics Publications, Southampton, Boston.

Hosseinzadeh, H., Dehghan, M., Mirzaei, D., Aydin, S.H. (2013). The boundary elements method for magneto-hydrodynamic (MHD) channel flows at high Hartmann numbers. Applied Mathematical Modelling, 37(4), 2337–2351.

Pekmen, B., Tezer-Sezgin, M. (2013). DRBEM solution of incompressible MHD flow with magnetic potential. Computer Modeling in Engineering and Sciences, 96(4), 275-292.

Smolentsev, S. (2009).MHD duct flows under hydrodynamic slip condition. Theoretical and Computational Fluid Dynamics, 23, 557–570.

Aydın, C., Tezer-Sezgin, M. (2018). DRBEM solution of the Cauchy MHD duct flow with a slipping perturbed boundary. Engineering Analysis with Boundary Elements, 93, 94-104.

Kozlov, V.A., Maz’ya, V.G., Fomin, A.F. (1991). An iterative method for solving the Cauchy problem for elliptic equations. Computational Mathematics and Mathematical Physics, 31, 45–52.

DOI: http://dx.doi.org/10.11121/ijocta.01.2019.00677

### Refbacks

- There are currently no refbacks.

Copyright (c) 2019 Cemre Aydin

This work is licensed under a Creative Commons Attribution 4.0 International License.