ME 141A
Intro to Nanotechnology
Due: 3/9/2009
1
Problem Set 8
Problem 9.2 in book
Air is flowing through a 40 nm radius carbon nanotube. Can we use the NavierStokes
equation to analyze this flow? What about if it were in a 4 m radius pipe?
Problem 9.7 in book
Reynolds number is the ratio of inertial forces to viscous forces.
Can you think of
another nondimensional grouping that may be able to tell us the ratio between
gravitational forces and viscous forces?
Problem 9.8 in book
Compute the Reynolds number for each case:
(a) A baseball hit by Barry Bonds in Giants Stadium
(b) A 10
μ
m diameter protozoan flowing at 100
μ
m/s in water
(c) A blade of grass floating in a pond at 1 mm/s
Problem 9.9 in book
Compute two familiar technological flows that have a Reynolds number based on overall
object size of 0.1 and 100,000,000.
Problem 9.17 in book
If you put a drop of 5mM blue dye in a very large jar, what is the equation describing the
onedimensional concentration distribution of dye after 5 minutes? Assume the diffusion
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 Winter '09
 PENNATHUR
 Fluid Dynamics, Gravitational forces, Stokes flow

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