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Modelling surface dimple using reynolds equations

  1. Jun 2, 2014 #1
    Hi guys,

    I am doing an analysis and i had to model Reynolds equation on a surface dimple of any shape to determine film thickness pressure, etc. so this is the problem:

    there are two parallel surfaces, one sliding (untextured) another one stationary and textured. To simplify the situation, i had considered a dimple cell containing just one dimple. I am wondering how can i solve the Reynolds equation and include the boundary condition if i solve it using finite difference method.

    Any tips would be greatly appreciated.

    PS:

    film thickness;
    h = h0; outside simple
    h = h0+2h_p/d ((1-x-l/2)^2-(y-w/2)^2)^.5

    Reynolds equation d/dx(h^3 dp/dx)+d/dy(h^3 dp/dy) = 6undh/dx
     

    Attached Files:

  2. jcsd
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