Unformatted text preview: FLUID MECHANICS II Assignment 3 Question 1: Problem 4.9
Question 2: Problem 4.11 Assume incompressible ﬂow. Question 3: Problem 4.20 v=vo at y = 0 for all x. Question 4: Problem 4.25 Ignore sketch and interpretation part. Question 5: Problem 4.29 Ignore g7. Question 6: Problem 4.37 Given: top and bottom surfaces are open to atmosphere (i.e. pgage = 0).
Write down, simplify and solve the continuity and Navier—Stokes equations for this problem.
Find the pressure and velocity ﬁelds. Find the ﬂowrate per unit depth (into the page). This is a simple model for ﬂow from a paint brush. 5 t. 1 a, / f
Question 7 KP}; Consider a steady7 laminar and fully developed ﬂow of an incompressible in a horizontal rectangular duct.
To simplify the problem a little, ignore gravity (which only adds a hydrostatic pressure variation across the horizontal duct). Over a length L of the duct7 pressure falls from p0 to pL. a) Simplify the continuity and Navier—Stokes equations for this situation. b) Solve for the pressure ﬁeld in terms of po, pL etc. (2) Write out the p.d.e/BC’s that would be solved to ﬁnd the velocity ﬁeld. Discuss how it would be solved. but do not actually do the solution. ‘31 d at 0st 2 > ed {(2 m
2%; X it: *x Cms ,_._ dutl’
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 Winter '11
 CecileDevaud

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