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The "wye" fitting shown in the figure below lies in a horizontal plane. The fitting splits the inlet flow into two equal parts. At section 1, the water velocity is 10 ft/s and the pressure is 21 psig. The temperature of the water is 60°F. Assume inviscid flow.

Given:
- Diameter at section 1: \( D_1 = 6 \) in
- Diameter at section 2: \( D_2 = 3 \) in
- Diameter at section 3: \( D_3 = 4 \) in

Calculate the water pressure at sections 2 and 3.

- \( P_2 \) (pressure at section 2) in psig
- \( P_3 \) (pressure at section 3) in psig

Answer :

Using Bernoulli's equation, we can calculate the water pressure at sections 2 and 3 in the wye fitting.

The water pressure at sections 2 and 3 can be calculated using Bernoulli's equation, which states that the sum of pressure, kinetic energy, and potential energy remains constant along a streamline. At section 1, the pressure is given as 21 psig and the velocity as 10 ft/s.

Assuming inviscid flow and neglecting any changes in elevation, we can calculate the pressure at sections 2 and 3 using the following equation:

P1 + 0.5 * ρ * V1^2 = P2 + 0.5 * ρ * V2^2 = P3 + 0.5 * ρ * V3^2

Since the fitting splits the inlet flow into two equal parts, the velocities at sections 2 and 3 will also be equal. Therefore, the water pressure at sections 2 and 3 will be equal.

Learn more about the topic of Bernoulli's equation here:

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