Which would have greater pressure at the end, an L shape or Y shaped

[bauer99999]

which would have greater pressure at the end, an L shape or Y shaped funnel?

 

[cjl]

Assuming a fairly slow flow velocity, and assuming the same height for each funnel, it would be approximately the same.

 

[jim hardy]

The taller one?

 

[elliott]

Hello,

Correct me if I'm wrong (I'm taking the 2nd calculus based physics course fliuds, thermo, etc.)

The pressure of a fluid in a container at rest can be defined as:

p = p₀ * ρgh

where p is the absolute pressure, the pressure your looking for at a certain depth. p₀ is the pressure from the atmosphere which bears down on the fluid. ρ is the density of the fluid. g of course is gravity. h is the length from the surface to where you're trying to find the pressure.

So if were dealing with containers undergoing the same pressure from the atmosphere, that contain the same density liquid, have the same gravitational force applied to them then the only factor is the height or length from the surface to the point your looking for the pressure. In essence, the pressure at any given depth really only depends upon the depth but not on any horizontal dimension.

So if we're to assume this Y shaped container and this T shaped container are both the same height then the pressure at any point in those containers will be the same! And, this would also apply for any kind of shape you can think of (of the same height).

Take this into consideration when constructing your next beer bong.

 

[PJC01]

I cannot provide a definitive answer without further information about the dimensions and materials of the L and Y shapes in question. However, I can provide some general insights into how pressure may be affected by the shape of a funnel.

The pressure at the end of a funnel is dependent on several factors, including the velocity of the fluid, the angle of the funnel, and the cross-sectional area of the funnel. In general, a narrower funnel will have a higher velocity of fluid and therefore a higher pressure at the end. This is known as the Bernoulli's principle.

In terms of the L and Y shapes specifically, the pressure at the end may also be influenced by the angles of the two arms. A sharper angle in the Y shape may result in a higher velocity and pressure at the end compared to a wider angle in the L shape. However, this also depends on the dimensions of the two shapes and the material they are made of, as different materials may have different frictional effects on the fluid flow.

In conclusion, it is difficult to determine which shape would have a greater pressure at the end without more specific information. Both the L and Y shapes could potentially have higher pressure at the end depending on their dimensions and angles. Further experimentation and analysis would be needed to determine a more accurate answer.