THEORY: Bernoulli's principle thus says that a rise (fall) in pressure in a flowing fluid must always be accompanied by a decrease (increase) in the speed, and conversely, if an increase (decrease) in , the speed of the fluid results in a decrease (increase) in the pressure. This is at the heart of a number of everyday phenomena. As a very trivial example, Bern oui lli's princip le is resp ons ible for the fact tha t a sho wer curt ain get s su c!ed inwards'' when the water is first turned on. "hat happens is that the increased water#airvelocity inside the curtain (relative to the still air on the other side) causes a pressure drop. The pressure differe nce between the outside and inside causes a net force on the shower curta in wh ich suc !s it inw ard . A more usefu l example is pr ovi ded by the function ing of a perfume bottle$ s%uee &ing the bulb over the fluid creates a low pressure area due to the higher speed of the air, which subse%uently draws the fluid up. The measured valuesare to be compared to Bernoullis e%uation. Bernoullis e%uation for constant head, h$ Allowa nce for friction losses and conversion of the pressures p and pinto static pressure heads h and hyields$ p* pressure at cross section A h*pressure head at cross section A+*flow velocity at cross section Ap* h* . 2 2 2 2 2 1 1 constgv gPgv gP= + = + ρ ρ v h gv h gv h + + = + 2 2 2 2 2 2 1 1
Bernoulli's principle thus says that a rise (fall) in pressure
in a flowing fluid must always be accompanied by a decrease
(increase) in the speed, and conversely, if an increase (decrease)
in , the speed of the fluid results in a decrease (increase) in the
pressure. This is at the heart of a number of everyday phenomena.
As a very trivial example, Bernouilli's principle is responsible
for the fact that a shower curtain gets ``sucked inwards'' when the
water is first turned on. What happens is that the increased
water/air velocity inside the curtain (relative to the still air on
the other side) causes a pressure drop. The pressure difference
between the outside and inside causes a net force on the shower
curtain which sucks it inward. A more useful example is provided by
the functioning of a perfume bottle: squeezing the bulb over the
fluid creates a low pressure area due to the higher speed of the
air, which subsequently draws the fluid up.
The measured valuesare to be compared to Bernoullis
equation.
Bernoullis equation for constant head, h:
Allowance for friction losses and conversion of the pressures p1
and p2 into static pressure heads h1 and h2 yields:
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