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Dynamic stiffness and damping characteristics of one-dimensional magneto-hydrodynamic inclined-plane slider bearings

Abstract Considering the transient squeezing motion, the magneto-hydrodynamic (MHD) steady and dynamic characteristics of one-dimensional slider bearings lubricated with an electrically conducting fluid in the consideration of a transverse magnetic field are numerically investigated. Using the MHD motion equations and, the continuity equation, we have derived a MHD dynamic Reynolds-type equation, which is applicable to slider bearings taking into account the squeezing effect ∂ h/ ∂ t, in which the general film-shape function is described by h=h(x, t). A closed-form solution for the pressure of an inclined-plane slider is obtained and applied to predict the MHD dynamic stiffness and damping characteristics of bearings. According to the results obtained, the application of externally applied magnetic fields signifies an apparent increase in the MHD steady film pressure. Comparing with the classical non-conducting-lubricant case, the applied magnetic-field effects characterized by the Hartmann number provide significant improvement in the MHD steady load-carrying capacity, the MHD dynamic stiffness coefficient, and the MHD dynamic damping coefficient. The improvement of dynamic characteristics of MHD bearings is more pronounced with large Hartmann numbers and small minimum film thicknesses. For guiding the use of the present study, a design example is illustrated. Further results shown in the tables are provided for engineering application.