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

摘要/Abstract

摘要： 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.

关键词: potential function, integral transform, dynamic crack, dual equation

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

裘祖干;陆章基. LUBRICATION THEORY FOR MICROPOLAR FLUIDS AND ITS APPLICATION TO A JOURNAL BEARING WITH FINITE LENGTH[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(7): 655-665.

Qiu Zu-gan;Lu Zhang-ji. LUBRICATION THEORY FOR MICROPOLAR FLUIDS AND ITS APPLICATION TO A JOURNAL BEARING WITH FINITE LENGTH[J]. Applied Mathematics and Mechanics (English Edition), 1987, 8(7): 655-665.

[1]	Pengxu GUO, Yueting ZHOU. Exact analysis of the orientation-adjusted adhesive full stick contact of layered structures with the asymmetric bipolar coordinates[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 883-898.
[2]	K. DEVARAJAN, B. SANTHOSH. Nonlinear dynamics and performance analysis of modified snap-through vibration energy harvester with time-varying potential function[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 185-202.
[3]	Z. ZHURAVLOVA. Stress analysis near the tips of a transverse crack in an elastic semi-strip[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(7): 935-956.
[4]	Y. PROTSEROV, N. VAYSFELD. Torsion problem for elastic multilayered finite cylinder with circular crack[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(3): 423-438.
[5]	安晨;苏建. Dynamic response of axially moving Timoshenko beams: integral transform solution[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(11): 1421-1436.
[6]	刘小靖王记增王晓敏周又和. Exact solutions of multi-term fractional diffusion-wave equations with Robin type boundary conditions[J]. Applied Mathematics and Mechanics (English Edition), 2014, 35(1): 49-62.
[7]	李开泰史峰. Hodograph method of flow on two-dimensional manifold[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(3): 363-376.
[8]	边文凤;王彪;贾宝贤. MATHEMATICAL PROBLEMS IN THE INTEGRAL-TRANSFORMATION METHOD OF DYNAMIC CRACK[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(3): 252-256.
[9]	冯文杰;李向国;王守东. TORSIONAL IMPACT RESPONSE OF A PENNY-SHAPED CRACK IN A FUNCTIONAL GRADED STRIP[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(12): 1398-1404.
[10]	曹绪龙;同登科;王瑞和. EXACT SOLUTIONS FOR NONLINEAR TRANSIENT FLOW MODEL INCLUDING A QUADRATIC GRADIENT TERM[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 102-109.
[11]	沈远胜;刘高联;刘永杰. QUASI-VARIATIONAL PRINCIPLE FOR THE VORTEX-POTENTIAL FUNCTION OF ROTATIONAL FLOW IN THREE-DIMENSION PIPE[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1): 10-15.
[12]	王利民;徐世烺. ANALYSIS ON THE COHESIVE STRESS AT HALF INFINITE CRACK TIP[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(8): 917-927.
[13]	刘金喜;王祥琴;王彪. GENERAL SOLUTION FOR THE COUPLED EQUATIONS OF TRANSVERSELY ISOTROPIC MAGNETOELECTRO-ELASTIC SOLIDS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(7): 774-781.
[14]	丁皓江;王惠明;陈伟球. A THEORETICAL SOLUTION OF CYLINDRICAL SHELLS FOR AXISYMMETRIC PLAIN STRAIN ELASTODYNAMIC PROBLEMS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 138-145.
[15]	钟明;张永元. THE ANALYSIS OF DYNAMIC STRESS INTENSITY FACTOR FOR SEMI-CIRCULAR SURFACE CRACK USING TIME-DOMAIN BEM FORMULATION[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(11): 1344-1351.