微极流体润滑在径向轴承中应用
Lubrication Theory for Micropolar Fluids and Its Application to A Journal Bearing with Finite Length
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摘要: 本文从微极流体场方程出发,在润滑层的通常假设下,把它化简为两个独立的常微分方程组,并求得速度、微转动角速度的解析表达式.推导了微极流体润滑的雷诺方程,把它应用于有限长径向轴承的求解.通过数值计算得到了微极效应对各种动力参数、几何参数下轴承的压力分布、承载力、流量系数和摩擦系数的影响,并析了它的实际意义,使微极流体理论应用到工程问题又接近了一步.Abstract: In this paper, the field equation of micropolar fluid with general lubrication theory assumptions is simplified into two systems of coupled ordinary differential equation. The analytical solutions of velocity and microrotat ion velocity are obtained. Micropolar fluid lubrication Reynolds equation is deduced. By means of numerical method, the characteristics of a finitely long journal bearing under various dynamic parameters, geometrical parameters and micropolar parameters are shown in curve form. These characteristics are pressure distribution, load capacity, coefficient of flow flux and coefficient of friction. Practical value of micropolar effects is shown, so micropolar fluid theory further closes to engineering application.
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[1] Needs,S.J.,Boundary film investigations,TRANS.ASME.,62(1940),33. [2] Fuks,G.I.,The properties of solutions of organic acids in liquid hydrocarbous at solid surfaces,Research in Surface Forces.ed.B.V.Deryagin.1(1960),79. [3] Drauglis,E.,et al.,Thin film rhelology of boundary lubricating surface films,Part I,Battelle Memorial Institute Report(1970). [4] Stokes,V.K.,Couple stresses in fluids,Phys.Fluids,9(1966),1709. [5] Eringen,A.C.,Theory of micropolar fluids,J.Math.Mech.16(1966),1. [6] Kang,C.K.and A.C.Eringen,The effect of microstructure on the rheological properties of blood,Bull.Math.Biol.38(1979),135. [7] Eringen,A.C.,Simple microfluids,Int.J.Mech.Eng.Sci.2(1964),205. [8] Kline,K.A.and S.J.Allen,Nonsteady flows of fluids with microstructure,Phys.Fluids,13(1970),263. [9] Erdogan,M.E.,Dynamics of polar fluids,Acta Mechanica,15(1972),233. [10] Allen,S.J.and K.A.Kline,Lubrication theory for micropolar fluids,J.Appl.Mech.,38(1971),646. [11] Green,G.C.,M.S.Thesis,Tulane University(1969). [12] Cowin,S.C.,Polar fluids,Phys.Fluids,11(1968),1919. [13] Shukla,J.B.and M.Isa,Generalized Reynolds equation for micropolar lubricants and its application to optimum one-dimensional slider bearings:Effects of solid-partide additives in solution,J.Mech.Engng Sci.,I Mech.E.17(1975),280. [14] Prakash,J.and P.Sinha,Lubrication theory for micropolar fluids and its application to a journal bearing,Int.J.Engng.Sci.,13(1975),217. [15] Tipei,N.,Lubrication with micropolar liquids and its application to short journal bearing,J.Lubr.Technol.,101(1979),356.
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