A New k-ω Model for Magnetohydrodynamic Turbulent Duct Flow

Article Preview

Abstract:

A solver for MHD turbulent flow and a new RANS model based on k-ω model in the open source toolbox OpenFOAM are developed to investigate magnetohydrodynamic (MHD) turbulent flow. Two electro-magnetic terms in the k and ω transport equations are added to include magnetohydrodynamic (MHD) effects. The modified k-ω is validated by simulating MHD turbulent duct flow. Time-averaged velocity and turbulent kinetic energy profiles simulated by standard k-ω and the modified k-ω in the fully developed section are both reported. The results compare fairly with those obtained from DNS data. A difference of 8.4% in is found between the modified k-ω and DNS, but the RANS model only uses 0.4% of the DNS computation time.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

253-256

Citation:

Online since:

June 2017

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2017 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] U. Müller, L. Bühler, Magneto fluid dynamics in channels and containers, Springer Verlag (2001).

Google Scholar

[2] D. C. Wilcox, Turbulence modeling for CFD, 2nd edn. DCW Industries, US (1998).

Google Scholar

[3] K. Kitamura, M. Hirata, Turbulent heat and momentum transfer for electrically conducting fluid flowing in two dimensional channel under transverse magnetic field, in: Proceedings of the 6th International Heat Transfer Conference, vol. 3, Toronto, Canada, August 7–11, 1978, p.159.

DOI: 10.1615/ihtc6.2860

Google Scholar

[4] S. Smolentsev, et al., Application of the k-ε , model to open channel flows in a magnetic field, Int. J. Eng. 40(6) (2002) 693-711.

Google Scholar

[5] Z. Chen, C. H. Lee, J. B. Zhang, Nonlinear eddy viscosity k-ω turbulence model for incompressible low magneto hydrodynamic flows, Sci. China Phys. Mech. Astron. 41(8) (2011) 995-1002.

Google Scholar

[6] C. K. G. Lam, K. Bremhorst, A modified form of the k-ε model for predicting wall turbulence, Trans. ASME, J. Fluids Eng. 103(3) (1981) 456-460.

DOI: 10.1115/1.3240815

Google Scholar

[7] J. Hou, J. Mao, H. C. Pan, Numerical simulation of MHD duct flow about laminar and turbulence model, Nuclear Fus. Plasma Phys. (3) (2013) 33(1) 7-12.

Google Scholar

[8] Z. Q. Tan, J. Mao, K. Liu, Direct numerical simulations of magnetohydrodynamics on turbulent duct flow, Nuclear Fus. Plasma Phys. (12) (2016) 36(4) 309-314.

Google Scholar