Stability of hydromagnetic flow between concentric rotating cylinders with applied axial magnetic field

• Main Authors: Chang, Min-Hsing, 張敏興
• Other Authors: Cha''o-Kuang Chen
• Format: Others
• Language: zh-TW
• Published: 1998
• Online Access: http://ndltd.ncl.edu.tw/handle/14242145012333128325

博士 === 國立成功大學 === 機械工程學系 === 86 === A linear stability analysis has been implemented for hydromagnetic flow, a viscous electrically conducting fluid between rotating concentric cylinders in the presence of a uniform axial magnetic field. The small gap equations with respect to three-dimensional disturbances of both axisymmetric and non-axisymmetric are derived and solved by a direct numerical procedure. Both of the two different types of boundary conditions, ideal conducting and non-conducting(or weakly conducting)walls are considered. Results are reported for the following three typical cases: (1)Hydromagnetic stability of dissipative Couette flow: Results show that the stability charqcteristics depend on the conductivity of the cylinders. (2)Hydromagnetic stability of current-induced flow between concentric cylinders: This flow is driven electromagnetically by the interaction of a superimposed radial current and a uniform axial magnetic field. (3)Hydromagnetic stability of current-induced flow between concentric rotating cylinders: The stability analysis of this flow is extended to the case where the primary flow includes a pressure gradient acting in the azimuthal direction. Results are reported for both weakly and ideal conducting cylinders.