Question

Page 5 Nane: Johnson, Perri NN: 35 1000 omawork 10 10.5 Aoni cous fuid is contained betwen two infinitely vertical, concentric cylinders. The outer cylinder has a radius fixedd rotates with an angular velocity o. The inner cylinder is and has a radius r. The Navier-Stokes equations can be used As utain an exact solution for the velocity distribution in the gap. that the flow in the gap is axisymmetric (neither velocity Fluid nor pressure are functions of angular position θ within the gap) and that there The only body equation from Eq. 6.128b gives are no velocity components other than the tangential component. force is the weight. The result of derivation of the governing Top View Governing Equation: | V,-2+ r a) State the boundary conditions for this flow b) Apply the boundary conditions to determine the velocity distributio Look for a factors of the form 1- n Vo in the gap between the cylinders. Solution: c) Verify that the boundary conditions are satisfied

Answer 1

A viscous fluid is contained between two infinitely long, vertical, concentric cylinders.
Sclution 3he Gnovering eualit is given as Boundary condition b Applyicg Boumaryconditiou stBoundory tonolition nd 5 Ftorn (9.we gek,台.. 2tha) att 2G- On solving ep &uwe gef 2 - SubstitutinqA values in goverining ap we get,

Le 그 So, BoB Dourada 24 condition satisfies, the eguatiou ofVelocity disfubutiou