Fluid Mechanics: Pressure Calculation for a Horizontal Bend in a Pipeline

[alkhan22]

Homework Statement

A horizontal bend in a pipeline conveys water at a discharge at 1000l/s gradually reduces from 600mm to 300mm and deflects the flow through an angle of 60 degrees. At the larger end the pressure is 170000N/m^2. Determine the magnitude and direction of the force exerted on the bend.

Homework Equations

How can I find pressure2 (at point 2 300mm end)

is my solution right to find pressure at point 2

Please help as i need solution urgently. Thanks to all

The Attempt at a Solution

I have used moment to find internal force F=DENSITY * FLOW DISCHARGE (V2-V1)

Than I have used the formula F=P/A to find the pressure.

Q(FLOW DISCHARGE) =AV (AREA*VELOCITY)

P.s if i find p2 i can use formula to find external forces on the bend using

P1A1-P2A2COSTHETA -Fx= DENSITY*Q*(V2*COSTHETA-V1)

Fy-P2A2SINTHETA= DENSITY*Q*(V2*SINTHETA)

 

[LawrenceC]

Hint: Bernoulli equation