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

AI Thread Summary
The discussion revolves around calculating the time required to pour 4 liters of SAE no. 10 oil through a funnel, given its viscosity and specific gravity. The initial attempt at a solution uses Poiseuille's law to derive a flow rate, but the calculated time of 0.03 seconds is deemed incorrect. The user seeks guidance on the proper approach to solve the problem, indicating potential errors in their calculations. Key parameters include the oil's viscosity, funnel dimensions, and the specific gravity of the oil. The thread highlights the complexities involved in fluid dynamics calculations.
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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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