Inq
Elite member
You
I'm sure you're right. I was recollecting a science demonstration in 8th grade and I've never cut one of the water bed vacuum pumps open. All my degrees were in structural mechanics. I'll stay in my lane . This will be great. So, there is no fundamental reason to using a differential pressure sensor as long as the static sensor is in a free field with tangent placement of orifices. Got it.
The first sentence of the Wikipedia article states "The Venturi effect is the reduction in fluid pressure that results when a fluid flows through a constricted section (or choke) of a pipe."
The equation in the Wikipedia article also works off the principle of having constant stagnation pressure with a decrease in static pressure caused by an increase in the speed of the flow caused by a reduction in area.
Basic Equations:
P0a = 1/2 rho*u_a^2 + Pstatic_a
P0b = 1/2 rho*u_b^2 + Pstatic_b
P0a = P0b
Derivation:
1/2 rho*u_a^2 + Pstatic_a = 1/2 rho*u_b^2 + Pstatic_b
Pstatic_a - Pstatic_b = 1/2 rho*u_b^2 - 1/2 rho*u_a^2
Pstatic_a - Pstatic_b = 1/2 rho*(u_b^2 - u_a^2)
Which is this equation from the article.
View attachment 235401
You are correct that the flow crosses the port, but what the decrease in pressure on the port measures is the change in static pressure caused by the reduction in flow area. The same decrease in pressure would happen regardless of if the tube at 90 degrees was there or not.
The waterbed pump also works by the same principle of a constriction in the tube causing an increased flow speed. The water exiting the tube will have a similar static pressure to the ambient air. Since the venturi has a smaller cross-sectional area, the water flows faster and has a lower static pressure. Since the water bed is exposed to the air, the water in it also has a similar static pressure to the air. Therefore, the water in the venturi has a lower static pressure than the water in the waterbed and it draws water from the waterbed into it.
I don't know precisely how the vacuum pumps you built were designed, but I suspect they also had a flow restriction that decreased the static or had the flow expand after a restricted section.
I'm sure you're right. I was recollecting a science demonstration in 8th grade and I've never cut one of the water bed vacuum pumps open. All my degrees were in structural mechanics. I'll stay in my lane . This will be great. So, there is no fundamental reason to using a differential pressure sensor as long as the static sensor is in a free field with tangent placement of orifices. Got it.