Volume 33 Issue 1
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Approximate analytical solution of the Reynolds equation for clearance flow with pressure difference boundary conditions[J]. Journal of Aerospace Power, 2018, 33(1): 156-164. doi: 10.13224/j.cnki.jasp.2018.01.019
Citation: Approximate analytical solution of the Reynolds equation for clearance flow with pressure difference boundary conditions[J]. Journal of Aerospace Power, 2018, 33(1): 156-164. doi: 10.13224/j.cnki.jasp.2018.01.019

Approximate analytical solution of the Reynolds equation for clearance flow with pressure difference boundary conditions

doi: 10.13224/j.cnki.jasp.2018.01.019
  • Received Date: 2017-04-27
  • Publish Date: 2018-01-28
  • In order to obtain the lubricant pressure distribution for clearance seal and finite length journal bearing, the Reynolds equation with pressure difference boundary conditions was solved analytically.Using the method of separation of variables in an additive and a multiplicative form, a set of particular solutions of the Reynolds equation was added in the general solution of the homogenous Reynolds equation,thus a closed form approximate analytical solution for Reynolds equation was presented.The load capacity and attitude angle of clearance seal were calculated according to the approximate analytical solution proposed, the load capacity error compared with the result calculated with finite difference method was less than 5%,and the attitude angle error was less than 3 degree and the computational efficiency increased by hundreds of times.

     

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