class20_Solutions_to_Navier_Stokes_pt2

class20_Solutions_to_Navier_Stokes_pt2 - expression for the...

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11/12/2007 1 ES330, Section 2 Dr. Douglas Bohl 239 Camp x6683, dbohl@clarkson.edu www.clarkson.edu/~dbohl/es330
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2 Outline • Navier-Stokes Equations – Examples •O b j e c t i v e – Be able to apply NS equations to a systems and simplify • Announcements – Exam#2 will be on Thursday November 15 in class. – We need to decide on what time for review session
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3 Example A wide belt passes through a container of a viscous fluid. The belt moves vertically upward with a constant velocity V 0 as shown. The fluid film has a thickness of h. Gravity tends to make the film drain down at the outer edge of the film. At the liquid/air edge the boundary condition is that the shear stress is zero. Find an
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Unformatted text preview: expression for the velocity profile and the average velocity. Assume, steady, incompressible flow. air liquid Film thickness=h Belt Velocity = V 4 5 6 7 8 Example An incompressible, viscous fluid is placed between horizontal, infinite, parallel plates as shown. The two plates move in opposite directions with constant velocities. The pressure gradient in the x-direction is zero and the only body force is due to the fluid weight. Use the Navier-Stokes equations to derive the velocity distribution between the plates. What is the shear stress at the top and bottom wall? 9 10 11 12...
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class20_Solutions_to_Navier_Stokes_pt2 - expression for the...

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