**Problem 4. (30')**Water flows steadily through the reducing elbow shown below. The elbow is smooth and short. The effect of friction is small. The volume flow rate \( Q \) is \( 2.5 \times 10^{-3} \, \text{m}^3/\text{s} \). The elbow is on a horizontal plane (\( z_1 = z_2 \)). Gravity direction is along the z-axis which is normal to the paper. Below is the diagram of the elbow looking from above. Outlet is at atmospheric pressure 101325 Pa. Density of water is 1000 kg/m\(^3\). Find Pressure at inlet, \( P_1 \).**Diagram Explanation:**- **Supply Pipe:** The water enters through a pipe with diameter \( D = 45 \, \text{mm} \).- **Reducing Elbow:** The elbow transitions from the supply pipe to an outlet pipe.- **Outlet:** The diameter of the outlet is \( d = 25 \, \text{mm} \). The outlet has atmospheric pressure.- **Coordinate System:** The diagram is viewed on the xy-plane, with gravity acting along the z-axis (normal to the plane).- **Flow Direction:** Indicated by arrows, moving from the larger diameter to the smaller diameter.The objective is to find the pressure at the inlet \( P_1 \) using the given parameters.

Answered: Image /qna-images/answer/a665f318-47b7-4205-bcc3-bd7bce4d8708.jpg

Problem 4. (30') Water flows steadily through the reducing elbow shown below. The elbow is smooth and short. The effect of friction is small. The volume flow rate Q is 2.5 x 10-³ m³/s. The elbow is on a horizontal plane (Z₁ = Z₂). Gravity direction is along z axis which is normal to paper. Below is the diagram of the elbow looking from above. Outlet is at atmospheric pressure 101325 Pa. Density of water is 1000 kg/m³. Find Pressure at inlet, P1

Problem 4. (30') Water flows steadily through the reducing elbow shown below. The elbow is smooth and short. The effect of friction is small. The volume flow rate Q is 2.5 x 10-³ m³/s. The elbow is on a horizontal plane (Z₁ = Z₂). Gravity direction is along z axis which is normal to paper. Below is the diagram of the elbow looking from above. Outlet is at atmospheric pressure 101325 Pa. Density of water is 1000 kg/m³. Find Pressure at inlet, P1

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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