How long does it take to pour 4 liters of SAE no. 10 oil through a funnel?

In summary, the conversation discusses the viscosity of SAE no. 10 oil and how long it would take to pour 4 liters of oil through a funnel with specific measurements. The solution attempted uses Poiseuille's law, but the resulting time given is incorrect. Additional help is requested.
  • #1
huybinhs
230
0

Homework Statement



SAE no. 10 oil has a viscosity of 0.2 Pa· s. How long (in sec) would it take to pour 4 liters of oil through a funnel with a neck 10 cm long and 2.9 cm in diameter. Assume that it is poured in such a way that the oil level is kept just above the top of the tube.

Hint: The specific gravity (= ratio of its density to that of water) of the oil is 0.70.

The Attempt at a Solution



Dp = rgL
= (700 kg/m3)*(9.8 m/s2)*(10*0.01 m) = 686
The fow rate is given by Poiseuille's law:
Q = p r4 Dp / (8 h L)

=> t = V / Q = 8 V h L / (p r4 Dp) = 8*(4*10^-3)*0.2*(10*0.01) / (700*(0.5*2.9*0.01)^4*686 = 0.03 s = wrong answer.

Please advise! Thanks!
 
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  • #2
Anyone?
 

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