MHD duct flow with slipping velocity on the Hartmann and side walls

Date

2017-05-31

Author

Şenel, Pelin
Tezer, Münevver

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In this study, the influence of the slip velocity wall condition is investigated onthe magnetohydrodynamics (MHD) duct flow by using the dual reciprocity boundaryelement method (DRBEM). An electrically conducting fluid is driven down the ductby a constant pressure gradient and the fully developed flow is subjected to a horizon-tally applied uniform magnetic field. The flow and the induced current variations areanalyzed by taking the slip on the Hartmann walls or on the side walls, or on all ofthe walls. The numerical results show that, when the slip length is greater than the slipwall boundary layer thickness the influence of the slip is significant. As the slip lengthincreases the velocity magnitude increases. When the side walls admit slip, increasingslip length decreases the side layer thickness but, when the Hartmann walls exhibit slip,side layer thickness increases with the slip length. The slip can be visualized at all ofthe walls whenHa≤5. When both the Hartmann number and the slip length increase,Hartmann layer is destroyed and slip at the Hartmann walls dominates the slip at theside walls. The DRBEM has the advantage of solving the coupled MHD equations inone stroke with a considerably small computational expense due to its boundary onlynature.

URI

http://www.swge.inf.br/PDF/EMI2017IC-0020_063010.PDF
https://hdl.handle.net/11511/82821
http://www.swge.inf.br/PDF/EMI2017IC-0020_063010.PDF

Conference Name

EMI 2017 International Conference, 19 - 22 Mart 2017

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

P. Şenel and M. Tezer, “MHD duct flow with slipping velocity on the Hartmann and side walls,” presented at the EMI 2017 International Conference, 19 - 22 Mart 2017, Rio de Janeiro, Brazil, 2017, Accessed: 00, 2021. [Online]. Available: http://www.swge.inf.br/PDF/EMI2017IC-0020_063010.PDF.