**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

See similar textbooks

Related questions

Q: Please give detailed explanations and show your work clearly - I will be using this to study for an…

A: The Navier–Stokes equations contains a set of differential equations which describes the motion of…

Q: A woman is draining her fish tank by siphoning the water into an outdoor drain as shown in the…

A: The area of the base of the rectangular tank is A and the height is hTherefore, the volume of the…

Q: 10.0 m A 200m 2. An old western town has a water tower to deliver water to the residents. Pictured…

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Need proper handwritten correct solution. Don't give copied solution

A: Given Data The atmospheric pressure is: Patm=100 kPa The cross section area is: A=0.0026 m2 The…

Q: 5. A nozzle that discharges a 60-mm-diameter water jet into the air is on the right end of a…

A: To determine:the magnitude and direction of the resultant axial force.Given:The outlet diameter of…

Q: 2. Oil (sg=0.90) is flowing at 150 L/min through a turbine. The pressure before the turbine is 750…

A: The flow rate of oil is Q=150 l/min. The specific density is SG=0.9. The pressure before the turbine…

Q: 20. A centrifugal pump has an impeller 45 cms in diameter running at 450 rpm. The dischargė at inlet…

A: Given: Impeller diameter D2=45cm or 0.45m (Impeller diameter means diameter of the impeller at the…

Q: Problem 1: Consider the pipe system presented here. You have fluid flowing into a pipe at Point A.…

A: Step 1: THE VELOCITY AT THE POINT C AND D. Step 2: THE PRESSURE AT THE POINT A

Q: 4. A tank is full of water and open at the top as shown in the figure. There is a frictionless…

Q: Find the diameter of a pipe of length 6 km when rate of flow of water through the pipe is 250…

A: Find the diameter of pipe using chezy's formula.

Q: ● Compute the time needed for the cylinder position to retract from the maximum position 1m to…

Q: (b) A venturi meter with diameter at inlet D, and throat diameter D2, is used for measuring the flow…

Q: Water flows into and discharges from a pipe U-section as shown in the Figure. The total absolute…

Q: If the water level in the tank in the figure remains constant, determine the velocity in Section 2.…

Q: 1 Determine the velocity at the inlet of the elbow 2 what is the velocity head inside the elbow 3…

A: given data, Dia = 4inch =0.106mQ= 2000L/mm=2000×10-360 m3/secQ=0.034 m3/sec

Q: For the moving cart and vane in the figure below, let the jet be water of 3 in diameter at 35 ft/s.…

Concept explainers

Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

Question

**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.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given values in question

VIEW

Step 2: Area calculation

VIEW

Step 3: Pressure calculation

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Q1
4. The system in Fig. consists of 1200 m (length) of 0.05 m (diameter) cast iron pipe, two 45° long-radius elbows, four 90° flanged long-radius elbows, and a fully open globe valve. If the elevation at point 1 is 400 m, what gage pressure is required at point 1 to deliver 0.005 m³/s of water at 20°C into the reservoir? Average surface roughness of cast iron is ε = 0.26 mm. For water at 20°C, take density, p = 998 kg/m³; dynamic viscosity, μ = 0.001 Pa-s; and acceleration due to gravity, g = 9.81 m/s². 90° elbow: KL90, elbow K₁ = 0.5 ent Elevation (1 400 m = 0.3 45° elbow: KL45,elbow=0.2 Elevation 500 m ! Sharp exit Open KL = 10 globe valve Klexit = 1
Q.1). The figure below shows a smooth curved vane attached to a rigid foundation. The jet of water, with 49 mm diameter, strike the vane with a velocity of 25m/s. calculate the vertical and horizontal components of the force exerted on the vane and indicate in which direction these components act. 45⁰ 25°
Please help with Part B and C. I was able to figure out Part A. Thank you.
Use inlet and outlet velocity triangle please show all work to find the the power
Hydraulics
Please give a detailed Handwritten solution.
Water flows inside a solid cylindrical pipe, which narrows as it goes up to a height h (see diagram below). The lower horizontal section has circular cross-sectional diameter d, whereas the upper horizontal section has diameter d/2. Let us denote A to be a point at the lower horizontal section and B to be a point at the upper horizontal section. The flow speed at A and B is uд and u, respectively. The pressure at A and B is PA and PB, respectively. РА UA Oom Ja d d/21 1 UB h (a) Assuming water to be incompressible, show that the flow speed at B is four times the flow speed at A. (b) Use Bernoulli's equation to find the drop in the water pressure from A to B. Express the result in terms of h, uд, the density of water p, and the acceleration of gravity g. (c) Above certain critical height h, vapour bubbles start to appear at the top horizontal section, which hinders water flow through the pipe. Explain why this happens.
Give detailed solution,Only Handwritten.
The reservoir tank shown contains fresh water air pressurized to 200 kPa. There is a loss of 3.3 N*m/N due to friction in the pipes. Point 1 is located at the surface of the water and point 2 is in the free stream of the exit spray. The Distance from the water surface to the free stream is 3 meters. The flowrate for the system is .05 m^3/s (Work on paper required) 1. How much energy is provided to the motor by the flowing water? 2. Assuming the motor has an efficiency rating of 83%, how much power is output? Ar Pressure o water DN 50sch 40 motor r coo ON 80 sch 40
Question 1: Water is expelled by a jet to the environment (i.e. the water flow is surrounded by atmospheric pressure). To change the direction of the water flow, this enters to a curved pipe as show in the figure (top view perspective). Calculate the forces exerted by the flow to the pipe in x and y direction (both horizontal). Use a water density of 1000 kg/m³, Q=1 m³/s, diameter d-0.3 m. Follow the 4 steps explained in the lectures and state your assumptions clearly. 30 Question 2: Repeat question 1 but change the curvature from 30 degrees to 90 degrees. How the forces change? 90
Calculate the force exerted by a stationary curved vane that deflects a 2 inch diameter stream of water through a 120 degree angle. The volume flow rate is 175 gal/min. The stream is directed parallel to the positive x horizontal. 120° (Work on Paper Required)