13_InstSolManual_PDF_Part9

# 13_InstSolManual_PDF_Part9 - Fluid Mechanics 13-9 13.39 Set...

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13.39. Set Up: The gauge pressure inside a bubble is Solve: 13.40. Set Up: The pressure difference for a liquid drop is Solve: 13.41. Set Up: The gauge pressure in a drop is related to the surface tension of the liquid and the radius R of the drop by The volume of a spherical drop is Solve: so Same gauge pressure, so and Reflect: Water has a larger surface tension so the water drop is larger. 13.42. Set Up: The continuity equation is Solve: so the depth of the canal at the sec- ond point. 13.43. Set Up: Solve: (a) (b) 13.44. Set Up: The volume flow rate is Solve: (a) (b) 13.45. Set Up: The continuity equation is where d is the pipe diameter. Solve: and Reflect: To achieve the same volume flow rate the water flows faster in the smaller diameter pipe. Note that the pipe diameters entered in a ratio so there was no need to convert units. v 2 5 1 d 1 d 2 2 2 v 1 5 1 2.50 in. 1.00 in. 2 2 1 6.00 cm / s 2 5 37.5 cm / s 1 2 p d 1 2 v 1 5 1 2 p d 2 2 v 2 A 5 1 2 p d 2 , A 1 v 1 5 A 2 v 2 . r 2 5 r 1 Å v 1 v 2 5 1 0.150 m 2 Å 17.0 m / s 3.80 m / s 5 0.317 m v 1 p r 1 2 5 v 2 p r 2 2 . v 1 5 1.20 m 3 / s A 1 5 1.20 m 3 / s p 1 0.150 m 2 2 5 17.0 m / s v 1
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Unformatted text preview: / s v 1 A 1 5 v 2 A 2 . v 2 5 v 1 1 A 1 A 2 2 5 1 3.50 m / s 2 1 0.070 m 2 0.047 m 2 2 5 5.21 m / s v 2 5 v 1 1 A 1 A 2 2 5 1 3.50 m / s 2 1 0.070 m 2 0.105 m 2 2 5 2.33 m / s v 1 A 1 5 v 2 A 2 h 5 0.96 m, 1 18.5 m 21 3.75 m 21 2.50 cm / s 2 5 1 16.5 m 2 h 1 11.0 cm / s 2 A 1 v 1 5 A 2 v 2 . V w V ct 5 1 g w g ct 2 3 5 1 72.8 dynes / cm 26.8 dynes / cm 2 3 5 20.0 g w V w 2 1 / 3 5 g ct V ct 2 1 / 3 . g V 2 1 / 3 5 constant p 2 p atm 5 4 g 1 4 p 3 V 2 1 / 3 . R 5 1 3 V 4 p 2 1 / 3 V 5 4 3 p R 3 . p 2 p atm 5 4 g R . g p 2 p atm R 5 2 g D p 5 2 1 72.8 3 10 2 3 N / m 2 1 0.0200 atm 21 1.013 3 10 5 Pa / atm 2 5 7.19 3 10 2 5 m 5 0.0719 mm. D p 5 2 g R . 1 atm 5 1.013 3 10 5 Pa. 1 dyn / cm 5 10 2 3 N / m. p gauge 5 4 1 25.0 3 10 2 3 N / m 2 3.50 3 10 2 2 m 5 2.86 Pa. p gauge 5 p 2 p atm 5 4 g R . 1 dyn / cm 5 10 2 3 N / m. Fluid Mechanics 13-9...
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• Spring '07
• Shoberg
• mechanics, Surface tension

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