wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Does it matter if one uses gauge instead of absolute pressures in applying Bernoulli's equation ? Explain.

Open in App
Solution

Using Bernoulli's theorem : P+ρgh+12ρv2= constant
where P is the absolute pressure at a point, ρ is the density of the fluid, h is the height of that point above a reference point and v is the velocity of fluid at that point.
Thus P1+ρgh1+12ρv21= P2+ρgh2+12ρv22
Subtracting atmospheric pressure from both sides.
We get P1Po+ρgh1+12ρv21= P2Po+ρgh2+12ρv22
Gauge pressure Pi=PiPo (i=1,2)
P1+ρgh1+12ρv21= P2+ρgh2+12ρv22
Thus the Bernoulli's equation remains in the same form.
Hence, it does not matter if one uses gauge instead of absolute pressure in applying Bernoulli's equation.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Laws of Chemical Combination
CHEMISTRY
Watch in App
Join BYJU'S Learning Program
CrossIcon