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The direct numerical simulation based on the current density conservative scheme was employed to calculate the turbulent Taylor-Couette flow of an electrically conducting fluid in an axial magnetic field. The generation of negative velocity due to the interaction of magnetic field with induced current， and the effect of magnetic field on the mean flow field were revealed， when two cylinders had the same potentials. By using two kinds of averaged method， the total fluctuations in the flow field were divided into two parts，i.e.， the contribution of mean Taylor vortex flow and the contribution of turbulence. Consequently， several cases were calculated to investigate the effect of magnetic field on the contribution， and comparation the effects of axial magnetic field on from mean Taylor vortex flow and the turbulent flow. [ABSTRACT FROM AUTHOR]

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Copyright of Journal of Northeastern University (Natural Science) is the property of Dongbei Daxue Xuebao and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The Chebyshev spectral collocation method (CSCM) was used to simulate natural convection in the square porous cavity under a local thermal equilibrium condition. Using the Chebyshev-Gauss-Lobatto collocation points， the dimensionless govering equations can be spatially discredited. The matrix diagonalization method was used to solve these discredited equations. The simulation results were in well agreement with the existing data. Meanwhile， the exact solutions were further constructed to valid the method and the CSCM effectiveness was proved. Finally， the effects of Rayleigh number on the streamlines， the isotherms and the Nusselt number were studied based on the CSCM simulations. [ABSTRACT FROM AUTHOR]