A CSCM approximation of steady MHD flow and heat transfer between parallel plates with hydrodynamic slip and convective boundary conditions

Date

2019-10-04

Author

Tezer, Münevver
Türk, Önder

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The steady magnetohydrodynamic (MHD) flow together with its heat transfer between parallel plates is considered in which the electrically conducting fluid has temperature dependent properties such as viscosity, thermal and electrical conductivity. The fluid is driven by a constant pressure gradient, and a uniform external transverse magnetic field is applied perpendicular to the plates. The effects of viscous and Joule dissipations are considered in the energy equation, and the fluid is assumed to be slipping in the vicinity of the plates. The effects of the magnetic field, the hydrodynamic slip, and convective thermal boundary conditions on the flow and heat transfer are investigated as well as the temperature dependent parameters. The Chebyshev spectral collocation method which is easy to implement is presented for the approximation of the solutions to the governing equations. The velocity and the temperature of the fluid are obtained with a cheap computational expense.

URI

https://hdl.handle.net/11511/84845
https://www.enumath2019.eu/mobview/presentation/63

Conference Name

European Numerical Mathematics andAdvanced Applications Conference 2019 (30 Eylül - 04 Ekim 2019)

Collections

Department of Mathematics, Conference / Seminar

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Citation Formats

M. Tezer and Ö. Türk, “A CSCM approximation of steady MHD flow and heat transfer between parallel plates with hydrodynamic slip and convective boundary conditions,” presented at the European Numerical Mathematics andAdvanced Applications Conference 2019 (30 Eylül - 04 Ekim 2019), Egmond aan Zee, Hollanda, 2019, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/84845.