How do you calculate the minimum film thickness?

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tomallan
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Hi,

i am wondering how do you calculate the minimum film thickness between two plates, one smooth surface and another surface with a square microasperity. i am just very confused as to how do you determine the film thickness in between them.

I have attached a paper which has a graph on the minimum film thickness and I am wondering how did they arrive with that graph. It said on the paper that b is the minimum film thickness and a is the height of the microasperity.

any help will be appreciated
 

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