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本文基於Navier-Stokes氏微分方程式,研究粘滞性液体层的滑润作用;此种流体动力学的理论,乃依据液体层之薄度进行续步渐近之解法而得。本文除证明初步近似解答与Beynolds氏方程式之结果相合外,更进一步将解答Beynolds方程式的问题,代以一实际相等的变值问题。其结果非但减少计算工作,且亦正确可靠。The hydrodynamic theory of viscous lubrication is studied from Navier-Stokes differential equations ,by the method of successive approximation based upon the smallness of the film thickness. It is found that the first approximation gives the Reynolds equation of viscous lubrication. To simplify the numerical nature of the solution of Reynolds equation, the equivalent variational problem is formulated. The approximate solution obtained from the variational problem involves only a very small error, but much less amount of numerical work.
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