根據磁液動擠壓薄膜理論,本文探討一個圓柱體與平板平面系統間在外加磁場作用與電導流體潤滑下的磁液動擠壓薄膜性能。利用磁液動運動方程式以及連續方程式可以推導出磁液動雷諾方程式,再利用無因次參數將磁液動雷諾方程式無因次化以方便計算。將壓力的邊界條件代入磁液動雷諾方程式去求得擠壓薄膜的壓力,再利用擠壓薄膜的壓力去預測磁液動之擠壓薄膜性能。 根據所得的結果,外加磁場作用會使得擠壓薄膜的壓力增加,且負荷能力值也跟著增加,並且延長了反應的時間。將此研究與傳統上使用非電導潤滑液之系統作比較,可以得知圓柱體-平板平面系統間使用電導潤滑液在外加磁場作用下可以獲得較佳的磁液動擠壓薄膜性能,它同時也改善了圓柱體與平板平面系統間的擠壓薄膜特性。
Based upon the thin-film magneto-hydrodynamic theory, this paper analyzes the squeezing-film characteristics between a cylinder and plane surface lubricated with an electrically conducting fluid in the presence of a transverse magnetic field. The magneto-hydrodynamic Reynolds-type equation governing the squeeze-film pressure is derived using the continuity equation and the magneto-hydrodynamic motion equations, the squeezing film pressure is obtained, and applied to predict the magneto-hydrodynamic squeeze-film characteristics. From the results obtained, the presence of externally applied magnetic fields results in an increase in the squeezing-film pressure. On the whole, the magnetic-field effects characterized by the Hartmann number provide an enhancement in value of the load-carrying capacity and lengthen the response time as compared with the classical Newtonian-lubricant case. It improves the squeeze film characteristics of the cylinder-plane surface system.
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