Applied Mathematics and Mechanics (English Edition) ›› 1987, Vol. 8 ›› Issue (7): 655-665.

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LUBRICATION THEORY FOR MICROPOLAR FLUIDS AND ITS APPLICATION TO A JOURNAL BEARING WITH FINITE LENGTH

Qiu Zu-gan, Lu Zhang-ji   

  1. Fudan University, Shanghai
  • Received:1985-08-30 Online:1987-07-18 Published:1987-07-18

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.

Key words: potential function, integral transform, dynamic crack, dual equation

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