Asymmetric Bernoulli tube.
Moderator: scott
Asymmetric Bernoulli tube.
This might be wishful thinking but what happens if flow is allowed through an asymmetric tube. Wouldn't the pressure differential only arise at one side. Sure the area of integration is larger, but the pressure is lower AND part of it is acting side ways. In other words, a setup like below would be pushed downwards.
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re: Asymmetric Bernoulli tube.
Broli,
Bernoulli Principle for what you seek is best explained by doing a Google search for 'Draft tubes' http://www.frenchriverland.com/draft_tubes.htm is a good place to start, there are many links related to the design and consequences you depict above.
Unfortunately there is no known effect created outside the asymmetric draft tube.
Ralph
Bernoulli Principle for what you seek is best explained by doing a Google search for 'Draft tubes' http://www.frenchriverland.com/draft_tubes.htm is a good place to start, there are many links related to the design and consequences you depict above.
Unfortunately there is no known effect created outside the asymmetric draft tube.
Ralph
re: Asymmetric Bernoulli tube.
http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html
This link to HyperPhysics website will help you broli - click on mechanics then click fluids [right side] - then click Bernoulli [bottom left].
I a nut shell the static pressure is different from the dynamic pressure - fluid mechanics is notoriously complex but it is predicated on Conservation of Energy theorem.
Your 'throat' is widening out therefore there should be a slowing of velocity & an increase in pressure, theoretically - in reality the fluid would collect in vortices & eddies & a flow pattern of streamlines develop that basically bi-passes the throat recess with no noticeable slowing of velocity & reduction in energy density.
This link to HyperPhysics website will help you broli - click on mechanics then click fluids [right side] - then click Bernoulli [bottom left].
I a nut shell the static pressure is different from the dynamic pressure - fluid mechanics is notoriously complex but it is predicated on Conservation of Energy theorem.
Your 'throat' is widening out therefore there should be a slowing of velocity & an increase in pressure, theoretically - in reality the fluid would collect in vortices & eddies & a flow pattern of streamlines develop that basically bi-passes the throat recess with no noticeable slowing of velocity & reduction in energy density.
An idea over from ou.com.
Take a circular tube where half of the tube has a larger cross sectional area, say 4 times bigger. Given a constant flow rate, we know that the velocity of the fluid in the two different halves has a ratio of 4, that is to say that the velocity in the smaller area tube is 4 times bigger than the larger one.
Now we'll look at the centripetal/centrifugal force defined as F=mv^2/r. Both tubes have the same average radius. However in one tube the average mass is quartered while the velocity is quadrupled. Since the velocity has a squared relation to force this translates to a force that is increased by four times.
So the centrifugal force contribution due to the water in the smaller area tube is 4 times as large as the one in the bigger area.
Take a circular tube where half of the tube has a larger cross sectional area, say 4 times bigger. Given a constant flow rate, we know that the velocity of the fluid in the two different halves has a ratio of 4, that is to say that the velocity in the smaller area tube is 4 times bigger than the larger one.
Now we'll look at the centripetal/centrifugal force defined as F=mv^2/r. Both tubes have the same average radius. However in one tube the average mass is quartered while the velocity is quadrupled. Since the velocity has a squared relation to force this translates to a force that is increased by four times.
So the centrifugal force contribution due to the water in the smaller area tube is 4 times as large as the one in the bigger area.
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