Local Radial Point Interpolation Method and Finite Volume Method for the Fully Developed Magnetohydrodynamic Flow and Heat Transfer

Abstract:

In this paper, a local radial point interpolation method is given to obtain the numerical solutions of the coupled equations in velocity and magnetic field for the fully developed magnetohydrodynamic flow through a straight duct of rectangular section with arbitrary wall conductivity. Computations have been carried out for different Hartmann numbers and different wall conductivity. Since the energy equation is uncoupled with velocity and magnetic field for the fully developed magnetohydrodynamic flow, the finite volume method, which is effective on heat transfer problems, is applied to solve the energy equation with the obtained velocity fields.

• Periodical: Advanced Materials Research (Volumes 516-517)
• Pages: 170-174
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.516-517.170
• Online since: May 2012
• Authors: Xing Hui Cai, Peng Xu, Man Lin Zhu, Yun Liang Gao, Guo Xun Ji
• Keywords: Finite Volume Method (FVM), Local Radial Point Interpolation Method, Magnetohydrodynamic Flow

References

[1] J.A. Shercliff : Proc. Camb.Phil.Soc.New York,, Vol. 49 (1953), p.136.

[2] G. R. Liu: Struct. Eng. Mech., Vol. 14(2002), p.713.wftl

[3] G. R. Liu: J. Sound Vib., Vol. 246 (2001), p.29.

[4] J.G. Wang: Int. J. Numer. Method. H., Vol. 15(2005), p.567.

[5] H. Abbassi: Int. Commun. Heat Mass, Vol. 34(2007), p.231.

[6] L. Dragos: Magneto-Fluid Dynamics.(Abacus Press, England, 1975).

[7] C. C. Chang, T. S. Lundgren: Z. Angew. Math. Phys. Vol. 12 (1961), p.100.

[8] E.J Kansa: Computers Math. Applic, Vol. 19, p.127.

[9] Shah R K: Advances in heat transfer. Supplement 1(Academic Press, New York.1978).