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An incompressible viscous fluid passes through a circular tube of radius R in a steady state and in a laminar regime. For steady state, laminar

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An incompressible viscous fluid passes through a circular tube of radius R in a steady state and in a laminar regime. For steady state, laminar flow and constant properties in cylindrical coordinates, fully developed flow in a circular pipe can be described by the Naiver-Stokes equation given below. Skurlamayan viskoz bir akkan yaricap R olan dairesel bir borudan yat durumda ve laminer rejimde gemektedir. Silindirik koordinatlarda yatkn durum, laminer ak ve sabit zellikler iin, dairesel bir boruda tam gelimi ak aada verilen NaiverStokes bants ile tanmlanabilir r1r(rru)=1xp Verilen bantdan hareket ederek, herhangi bir noktadaki hz ve maksimum hz arasnda iliki kuran banty tretiniz. Tek boyutlu aks, kabul yapm. From the given equation, derive the relation that relates the velocity at any point to the maximum velocity. Assume one-dimensional flow

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