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8.2.4 Miller's square model

Miller and his student borrowed a two dimensional model under assumption of turbulent flow. They assumed that the flow is ``infinite'' turbulence and therefor it is a plug flow12. Since the solution was for 2D they naturally build model for a square shot sleeve13. The mass balance for square shot sleeve
    (8.14)

Momentum balance on the same control volume yield
    (8.15)

and the solution of these two equations is
    (8.16)



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