Date of Award

Fall 1971

Document Type

Thesis - Restricted

Degree Name

Master of Science (MS)


Mechanical Engineering

First Advisor

Elkouh, A.

Second Advisor

Nigro, N. J.

Third Advisor

Gaggioli, R. A.


In problems of lubrication and other low velocity flow fields, creeping flow assumptions are approximations that allow simplification of the Navier-Stokes equations of motion. As velocities, or, more generally, the Reynolds numbers increase, it is no longer a valid approximation to use the assumption of creeping flow. One must then use the Navier-Stokes equations in their nonlinear form. The solution to a problem that requires the use of the nonlinear Navier-Stokes equation is the subject of this thesis. Specifically the problem is to solve the nonlinear equations of motion describing the flow field in the gap between a porous disk and an impermeable disk for an arbitrary unsteay flow velocity through the porous disk. A perturbation technique is used to obtain this solution.



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