Instability of magnetohydrodynamic flow of Hartmann layers between parallel plates
作者： Zhang Yang , Zakir Hussain , Abid Hussanan , Sultan Hussain , Huisheng Zhang
DOI: 10.1063/1.5086975
关键词: Reynolds number 、 Hartmann number 、 Instability 、 Flow (mathematics) 、 Physics 、 Mechanics 、 Linear stability 、 Magnetic field 、 Chebyshev polynomials 、 Magnetohydrodynamics
摘要: This study investigates the linear stability of Hartmann layers an electrically conductive fluid between parallel plates under impact a transverse magnetic field. The corresponding Orr–Sommerfeld equations are numerically solved using Chebyshev’s pseudo-spectral method with Chebyshev polynomial expansion. QZ algorithm is applied to find neutral instability curves. Details evaluated by solving generalized system, allowing growth rates be determined. results confirm that field provides stabilizing flow, and extent this demonstrated for range Reynolds numbers. From numerical simulations, it observed specific magnitude stabilizes flow. Further, critical number increases rapidly when greater than 0.7. Finally, shown overcomes in
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sci-hub.se 参考文章(14)
Jie Shen, Tao Tang, Li-Lian Wang, Spectral Methods for Second-Order Two-Point Boundary Value Problems Springer, Berlin, Heidelberg. pp. 141- 180 ,(2011) , 10.1007/978-3-540-71041-7_4
SHARANYA SUBRAMANIAN, P K SWAIN, A V DESHPANDE, P SATYAMURTHY, Effect of Hartmann layer resolution for MHD flow in a straight, conducting duct at high Hartmann numbers Sadhana-academy Proceedings in Engineering Sciences. ,vol. 40, pp. 851- 861 ,(2015) , 10.1007/S12046-015-0350-1
Nabil TM Eldabe, MF El-Sabbagh, M AS El-Sayed, None, Hydromagnetic stability of plane Poiseuille and Couette flow of viscoelastic fluid Fluid Dynamics Research. ,vol. 38, pp. 699- 715 ,(2006) , 10.1016/J.FLUIDDYN.2006.05.002
S.M. Taghavi, N. Khabazi, K. Sadeghy, Hydromagnetic linear instability analysis of Giesekus fluids in plane Poiseuille flow Communications in Nonlinear Science and Numerical Simulation. ,vol. 14, pp. 2046- 2055 ,(2009) , 10.1016/J.CNSNS.2008.04.018
T. Alboussière, R. J. Lingwood, A model for the turbulent Hartmann layer Physics of Fluids. ,vol. 12, pp. 1535- 1543 ,(2000) , 10.1063/1.870402
Wisam K. Hussam, Mark C. Thompson, Gregory J. Sheard, Dynamics and heat transfer in a quasi-two-dimensional MHD flow past a circular cylinder in a duct at high Hartmann number International Journal of Heat and Mass Transfer. ,vol. 54, pp. 1091- 1100 ,(2011) , 10.1016/J.IJHEATMASSTRANSFER.2010.11.013
Nabil TM Eldabe, MF El-Sabbagh, MA-S El-Sayed, None, Hydromagnetic stability of plane Couette flow of an upper convected Maxwell fluid Ima Journal of Applied Mathematics. ,vol. 72, pp. 86- 95 ,(2007) , 10.1093/IMAMAT/HXL022
Steven A. Orszag, Accurate solution of the Orr–Sommerfeld stability equation Journal of Fluid Mechanics. ,vol. 50, pp. 689- 703 ,(1971) , 10.1017/S0022112071002842
Thomas Arlt, Jānis Priede, Leo Bühler, The effect of finite-conductvity Hartmann walls on the linear stability of Hunt's flow arXiv: Fluid Dynamics. ,(2017) , 10.1017/JFM.2017.322
Nathaniel T. Baker, Alban Pothérat, Laurent Davoust, François Debray, Inverse and Direct Energy Cascades in Three-Dimensional Magnetohydrodynamic Turbulence at Low Magnetic Reynolds Number. Physical Review Letters. ,vol. 120, pp. 224502- ,(2018) , 10.1103/PHYSREVLETT.120.224502