Hello, welcome to the forum! In the event that it is a transitory or initial situation, the flows may be different, but in a steady state condition with equal dimensions and equal friction losses, then the three containers should have the same level of liquid, so that the same flow enters and leaves the three containers without altering the level.
Good, but I understand that the statement illustrates that at constant steady state the three levels are different, the first higher than the second and this one higher than the third. Just looking for a justification, you could say that a possible cause is that the drawing is at a large scale or out of scale, I do not mean poorly drawn but that it has no reference compared to the earth. If you assume that gravity decreases with height z, then for large variations in z, an increase in the equilibrium level can be seen in each tank. On the scales that we work on a daily basis, it is invisible to the naked eye.
It should also be noted that at large scales the atmospheric pressure decreases, not linearly (although you can assume so,) so that it also favors the height h of each container to increase in the upper containers with increasing z. But it is very subtle, no one in practice cares to put in the conservation of energy calculations, Bernoulli's or when applying Torricelli's theorem assuming that gravity or pressure are variables with height z .
I repeat what I write is only to have a justification for a perhaps exaggerated drawing.
If you decide to make calculations, there are several models of mathematical functions to put the average atmospheric pressure as a function of height and that of gravity I have already given you, remember that after 30 km of height, the atmospheric pressure drops a lot (also the temperature) and gravity will hardly have a tiny change.
Good, but I understand that the statement illustrates that at constant steady state the three levels are different, the first higher than the second and this one higher than the third. Just looking for a justification, you could say that a possible cause is that the drawing is at a large scale or out of scale, I do not mean poorly drawn but that it has no reference compared to the earth. If you assume that gravity decreases with height z, then for large variations in z, an increase in the equilibrium level can be seen in each tank. On the scales that we work on a daily basis, it is invisible to the naked eye.
It should also be noted that at large scales the atmospheric pressure decreases, not linearly (although you can assume so,) so that it also favors the height h of each container to increase in the upper containers with increasing z. But it is very subtle, no one in practice cares to put in the conservation of energy calculations, Bernoulli's or when applying Torricelli's theorem assuming that gravity or pressure are variables with height z .
I repeat what I write is only to have a justification for a perhaps exaggerated drawing.
If you decide to make calculations, there are several models of mathematical functions to put the average atmospheric pressure as a function of height and that of gravity I have already given you, remember that after 30 km of height, the atmospheric pressure drops a lot (also the temperature) and gravity will hardly have a tiny change.
Dejar un comentario: