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Advances and Applications in Fluid Mechanics

Advances and Applications in Fluid Mechanics
Volume 8, Issue 2, Pages 183 - 200 (October 2010)

AXISYMMETRIC MHD STABILITY OF A RESISTIVE HOLLOW JET CYLINDER WITH LONGITUDINAL MAGNETIC FIELD Ahmed E. Radwan, A. H. Essawy and Hamdy M. Brakat Received November 9, 2009 References:
[1] M. Abramowitz and I. Stegun, Handbook of Mathematical Functions, Dover Publ., New York, 1970. [2] S. Chandrasekhar, Hydrodynamic and Hydromagnetics Stability, Dover Publ., New York, USA, 1961. [3] A. Chauhan, C. Maldarelli, D. T. Papageorgiou and D. S. Rumschitzki, J. Fluid Mech. 420 (2000), 1. [4] J. Cousin and C. Dumouchel, Atomization and Sprays 6 (1996), 563. [5] L. Y. Cheng, Phys. Fluids 28 (1985), 2614. [6] P. G. Drazin and W. H. Reid, Hydrodynamic Stability, Cambridge Univ. Press, London, 1980. [7] T. Kakutani, Y. Ionue and J. Kan, Phys. Soc. Japan 37 (1974), 529. [8] J. M. Kendall, Phys. Fluids 29 (1986), 2086. [9] C. Lee and T. Wang, Phys. Fluids 29 (1986), 2076. [10] C. Mehring and W. Sirignano, Phys. Fluids 12 (2000), 1417. [11] A. H. Nayfeh, Phys. Fluids 13 (1970), 481. [12] R. Parthasarathy and K. Chiang, Phys. Fluids 10 (1988), 2105. [13] A. E. Radwan and S. Elazab, Physica Scripta 52 (1995), 56-59. [14] A. E. Radwan, J. Magn. Magn. Mater. 72 (1988), 219. [15] A. E. Radwan, Inter. J. Engng. 36 (1998), 87. [16] A. E. Radwan, S. Elazab and W. M. Hydia, Nuovocinmento 117B (2002), 257. [17] A. E. Radwan, J. Appl. Math. Comput. 160 (2005), 213. [18] V. Ya. Shkadov and G. M. Sisoev, Inter. J. Multiphase Flow 22 (1996), 363. [19] J. Shen and X. Li, Acta Mech. 114 (1996), 167. [20] E. J. Villermaux, Propul. Power 14 (1998), 807. [21] D. P. Wang, J. Fluid Mech. 34 (1968), 299. [22] N. C. Yuen, J. Fluid Mech. 33 (1968), 151.

Keywords and phrases: hydrodynamic stability, incompressible fluid, resistive hollow jet.

Communicated by Shahrdad G. Sajjadi

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