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

Click For Summary
SUMMARY

The discussion focuses on calculating the time required to pour 4 liters of SAE no. 10 oil through a funnel, given its viscosity of 0.2 Pa·s and specific gravity of 0.70. The initial attempt utilized Poiseuille's law to derive the flow rate, but the resulting time of 0.03 seconds was identified as incorrect. The correct application of fluid dynamics principles, including the appropriate parameters for the funnel's dimensions and oil properties, is essential for accurate calculations.

PREREQUISITES
  • Understanding of fluid dynamics principles, specifically Poiseuille's law.
  • Knowledge of viscosity and its impact on fluid flow.
  • Familiarity with specific gravity and its calculation.
  • Basic mathematical skills for manipulating equations and units.
NEXT STEPS
  • Review the application of Poiseuille's law in fluid mechanics.
  • Study the effects of viscosity on flow rates in different fluids.
  • Learn about the calculation of flow rates through various funnel geometries.
  • Explore the relationship between specific gravity and fluid density in practical scenarios.
USEFUL FOR

Students in physics or engineering courses, fluid mechanics enthusiasts, and anyone involved in practical applications of fluid flow calculations.

huybinhs
Messages
229
Reaction score
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!
 
Physics news on Phys.org
Anyone?
 

Similar threads

Flow Rate Problem: Solve for Time to Pour 6L SAE 10 Oil
  • · Replies 14 ·
Replies
14
Views
5K
How Long Does It Take for Ice to Melt in a Styrofoam Cooler?
  • · Replies 23 ·
Replies
23
Views
6K
How Long Does It Take for an Electron to Travel Through a Silicon Block?
  • · Replies 1 ·
Replies
1
Views
2K