Pitot-tube

2011-03-01 4:53 pm

圖片參考:http://imgcld.yimg.com/8/n/HA00270495/o/701103010022713873385720.jpg

雖然之前有c 兄解過,但小弟仍有地方唔太明:

P1=static pressure the pt. below static tube along the stream arrow
P2=static pressure the pt. at mouth of total tube

Suppose that ρ is the density of the liquid contained in the tube, then using the Bernoulli's equation:

P1 + ρv12/2 + ρgh1 = P2 + ρv22/2 + ρgh2

Since the ends of the tube are levelled, h1 = h2 and hence

P1 + ρv12/2 = P2 + ρv22/2

Assume that the air stops immediately as soon as it reaches the front mouth of the tube (open horizontally), i.e. v1 = 0, we have:

P1 = P2 + ρv2/2

v = √[2(P1 - P2)/ρ]

Also since P1 - P2 = ρgh, we have:

v = √(2gh)

Q: P1 - P2 = ρgh 係係邊度黎?係唔係用Bernoulli's equation?
P1 - P2 同兩支tube既高度又有咩關係?點解可以咁砌出來?
請師兄解答
更新1:

果然又係天同師兄,多謝你既解答,但小弟想了解多d點解pressure diff= ρgh ,條式點整出黎?

回答 (1)

2011-03-03 12:02 am
✔ 最佳答案
Q: P1 - P2 = ρgh 係係邊度黎?係唔係用Bernoulli's equation?

(P1 - P2) is the pressure difference between the liquid colum of the two tubes. The h denotes the difference in height of the two liquid columns.


Q: P1 - P2 同兩支tube既高度又有咩關係?點解可以咁砌出來?

The pressure difference is not related to the height of the tube s themselves, but is related to the height of each liquid column.



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