Finding Net Pressure force in a pipe

[Mr. A]

I have a pipe that has an inlet (x-direction) and outlet (y-direction) with water flowing through it. I want to find net pressure force in x-direction (at the inlet)

I have momentum flux and areas of the inlet and outlet.

How can I find the net pressure force acting on the inlet? I don't know the pressure acting on the inlet, but I know the area.

 

[FredGarvin]

Take a look here first. You need to look at the impulse momentum of the bend. Most fluids books will have a chapter on the topic.

http://www.ce.utexas.edu/prof/kinnas/319LAB/Applets/Momentum/Momentum.html

http://www.lmnoeng.com/Force/ForceBend.htm

http://www.cartage.org.lb/en/themes/sciences/physics/Mechanics/FluidMechanics/Dynamics/MomentumEquation/MomentumEquation.htm

 

[ravenprp]

The net pressure force in the x-direction can be calculated using the equation F = PA, where F is the net pressure force, P is the pressure acting on the inlet, and A is the area of the inlet. Since you know the area, you can rearrange the equation to solve for P.

In order to find the pressure acting on the inlet, you will need to use the momentum flux and the Bernoulli's equation. Bernoulli's equation states that the total energy of a fluid remains constant along a streamline. This means that the sum of the kinetic energy, potential energy, and pressure energy must remain constant.

Using this equation, you can set the inlet and outlet points as your reference points and equate the total energy at these points. This will give you an equation with the pressure acting on the inlet as the only unknown variable. Solving this equation will give you the pressure acting on the inlet, which you can then use in the equation F = PA to find the net pressure force in the x-direction.

Alternatively, you can also use the continuity equation, which states that the mass flow rate remains constant throughout a pipe. This equation can also be rearranged to solve for the pressure acting on the inlet.

In summary, to find the net pressure force in the x-direction, you will need to use the momentum flux, Bernoulli's equation, and/or the continuity equation to solve for the pressure acting on the inlet, and then use that value in the equation F = PA to calculate the net pressure force.