**Graph Analysis:**The graph shows the Energy Grade Line (EGL) as a solid line and the Hydraulic Grade Line (HGL) as a dashed line. These lines are plotted against the distance \( x \) in thousands of feet from 0 to 30 ft. The elevation is given in feet on the vertical axis from 0 to 30 ft. There are two turbines shown on the graph, indicated by the letter "T." The first turbine is located near \( x = 10,000 \) ft, and the second turbine near \( x = 20,000 \) ft. The EGL has a noticeable drop at each turbine, representing extraction of energy or head loss due to the turbines. The first turbine extracts \(\Delta H = 10 \) ft, and the second turbine extracts \(\Delta H = 5 \) ft.The HGL runs parallel below the EGL, separated by a constant velocity head, given by \( V^2/(2g) \).**Problem Statement:**Add the energy grade line (EGL) as a solid line and the hydraulic grade line (HGL) as a dashed line to the figure. Enter the corresponding numbers in the table. Assume steady incompressible flow from left to right. At point A, the pressure head \( P/\gamma = 8 \) ft and the velocity is \( V = 8 \) ft/s. **Table to Fill:**1. **\( \mathbf{A} \)**: - \( P/\gamma \) - \( z \) - \( V^2/(2g) \) - EGL - HGL2. **\( \mathbf{B, C, D, E, F} \)**: - The same fields as A, each to be filled out as the evaluation continues across the points with the effect of turbines adjusted as given. In each section of the table, calculate the respective head values and enter them as determined from the characteristics and interactions described (energy extraction and flow properties).

Given:To find:Draw the EGL and HGL.

Add the energy grade line (EGL) as a solid line and the hydraulic grade line (HGL) as a dashed line to the figure below. Enter the corresponding numbers in the table. Assume steady incompressible flow from left to right. At point A, the pressure head P/y = 8 ft and the velocity is V=8 ft/s. The first turbine extracts AH = 10 ft, and the second turbine extracts AH = 5 ft.

Add the energy grade line (EGL) as a solid line and the hydraulic grade line (HGL) as a dashed line to the figure below. Enter the corresponding numbers in the table. Assume steady incompressible flow from left to right. At point A, the pressure head P/y = 8 ft and the velocity is V=8 ft/s. The first turbine extracts AH = 10 ft, and the second turbine extracts AH = 5 ft.

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: In this system, d = 6 in., D = 12 in., Az₁ = 6 ft, and A5₂ = 12 ft. The discharge of water in the…

Q: A pump delivers gasoline at 20 degrees Celsius and 12 (m^3)/h. At the inlet p1=100 kPa, z1=1 m, and…

A: given flow rate, Q=12m3/hr=123600m3/sinlet pressure, P1=100Kpadistance from datum at inlet,…

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: A Francis radial-flow hydroturbine is being designed with the following dimensions: r2 = 2.00 m, r1…

A: The data given is,

Q: Example 1 Water enters the basement through a pipe r1=2 cm in radius at an absolute pressure of 3…

Q: art A - The three tanks shown in the figure below are connected by new cast ire he diameter and…

A: To given thatε=0.26D1=1m=1000mm D2=0.8m=800mmD3=1.2m=1200mmL1=200m…

Q: A reducing bend has a linear velocity at section 1. See Figure 4. The flow is uniform at sections 2…

Q: Water flows into a tank and out through another pipe, as shown in the figure below. The water in the…

A: Given:Surface area, Asurf=6 m2Inclination angle of door, θ=40oLength of the door, L=1.1 mWidth of…

Q: Suppose a u-bend is redirecting a flow of water. The water enters flowing to the right at 10 m/s.…

A: Given data:The velocity of water is The diameter of pipe is constant The pressure of the fluid is…

Q: Water from a large tank discharges into the atmosphere through the pipeline shown in the figure.…

A: Write the expression of Bernoulli’s equation between the reservoir free surface and exit of the…

Q: Water flows through the pipe contraction shown in the figure below. For the given d=0.11 m…

Q: Water flows from a reservoir through a pipeline as shown in the following diagram. The flow is…

Q: Measure the diameter of the pipe next to it, which goes from the discharge nozzle of a pump to the…

Q: A hydroelectric generation facility has a gross head of 120 m and a consistent yearlong water 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: When a jet of liquid escapes through the orifice of a reservoir driven only by the force of gravity,…

Q: 2.attention to the piping system shown in the figure below. Pipes 1, 2, and 3 are installed in…

Q: data apply: Inlet blade velocity is 20 m/s. Vu1=21 m/s; Vr1=10 m/s. At the exit, V2 is purely axial…

Q: (Determination of Pi terms) The flowrate, Q, in an open canal or channel can be measured by placing…

Q: A water discharge 8 m^3/s is to flow through this horizontal pipe, which is 1 m in diameter. If the…

A: Given Data Discharge, Q=8m3/s Pipe diameter, D=1m Velocity, V=QA=8π4(1)2=10.19 m/s

Q: Water is pumped between two reservoirs in a pipeline with the following characteristics; (d=275mm,…

Concept explainers

Applied Fluid Mechanics

A fluid is a substance that is continuously deformed by the application of shear stress. The rate of deformation of a fluid depends on its viscosity. The fluid tries to flow when it interacts with some other system.

Question

**Graph Analysis:**

The graph shows the Energy Grade Line (EGL) as a solid line and the Hydraulic Grade Line (HGL) as a dashed line. These lines are plotted against the distance \( x \) in thousands of feet from 0 to 30 ft. The elevation is given in feet on the vertical axis from 0 to 30 ft.

There are two turbines shown on the graph, indicated by the letter "T." The first turbine is located near \( x = 10,000 \) ft, and the second turbine near \( x = 20,000 \) ft. The EGL has a noticeable drop at each turbine, representing extraction of energy or head loss due to the turbines. The first turbine extracts \(\Delta H = 10 \) ft, and the second turbine extracts \(\Delta H = 5 \) ft.

The HGL runs parallel below the EGL, separated by a constant velocity head, given by \( V^2/(2g) \).

**Problem Statement:**

Add the energy grade line (EGL) as a solid line and the hydraulic grade line (HGL) as a dashed line to the figure. Enter the corresponding numbers in the table. Assume steady incompressible flow from left to right. At point A, the pressure head \( P/\gamma = 8 \) ft and the velocity is \( V = 8 \) ft/s.

**Table to Fill:**

1. **\( \mathbf{A} \)**:
- \( P/\gamma \)
- \( z \)
- \( V^2/(2g) \)
- EGL
- HGL

2. **\( \mathbf{B, C, D, E, F} \)**:
- The same fields as A, each to be filled out as the evaluation continues across the points with the effect of turbines adjusted as given.

In each section of the table, calculate the respective head values and enter them as determined from the characteristics and interactions described (energy extraction and flow properties).

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: Write the given data and what is to find

VIEW

Step 2: Show the EGL and HGL:

VIEW

Step 3: Determine the different parameters:

VIEW

Step 4: Calculate different parameters:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 16 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

The water is flowing through a pipe having diameters 30 cm and 21 cm at sections land 2 respectively. The rate of flow through pipe is 40 litres/s. The section 1 is 7 m above datum and section 2 is 3 m above datum. If the pressure at section 1 is 37 N/cm? , find the following by neglecting losses: (ENTER ONLY THE VALUES BY REFERRING THE UNIT GIVEN IN BRACKETS) ) Area of cross section of section1 (unit in m?) = Area of cross section of section2 (unit in m?) = velocity at section 1 (unit in m/s) = velocity at section 2 (unit in m/s) = (ii) difference in datum head (Unit in m) = Pressure head at section 1 (Unit in m) = pressure head at section 2 (unit in m) =
Help !! Don't copy from othersites ,write the variables clearly. Solve using the energy equation.
4. Water flows in a rectangular channel of width, w. In some cases, the water may suddenly increase in elevation as shown in the figure (from h₁ to h₂) through a highly disturbed region called a hydraulic jump. Assume the velocity is uniform at stations 1 and 2, and assume the pressures are distributed hydrostatically. hydraulic jump V₂ h2 h₁ Figure for problem 4. (a) Using the conservation of mass and momentum, find the equation (cubic) for the downstream depth, h2, in terms of h₁, V₁, and g. (b) Using the Bernoulli equation and whatever other necessary equation(s), find the equation (cubic) for the downstream depth, h2, in terms of h₁, V₁, and g. In light of (a) and (b) above, does your answer to this part make sense? Explain. (c) For h₁ = 1 m and V₁ = 7.6 m/s, find the downstream height, h2, using whichever of the above approaches is the most correct. (Note that there are two valid solutions explain.) What is the downstream velocity? -
The three water-filled tanks shown in the figure below are connected by pipes as indicated. If minor losses are neglected, determine the flow rate in each pipe (+ is out and is into the reservoir) Assume ha = 10 m, hg = 50 m, hc = 0 m, l₁ = 300 m, l₂ = 250 m, and 3 = 500 m. QA = QB Qc= i Elevation = h VA D₂=0.08 m = = 0.020 Elevation = h у в D,= 0.10 m f = 0.015 < D₂ = 0.08 m f = 0.020 Elevation = h с
On a circular conduit there are different diameters: diameter D1 = 2 m, changes into D2 = 3 m. The velocity in the entrance profile was measured: v1 = 3 m/s. Calculate the discharge and mean velocity at the outlet profile (see figure below). Determine also type of flow in both conduit profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. (use Reynold's number Re), For laminar flow: Re2320, Kinematic viscosity of water of 12°C, v is equal to 1,24 10^-6 m2/s %3D %3D VD, D2 Figure
Q1: Water is flowing from tank A to tank B as shown in the following figure. The flow is steady so that the water level in tank B does not change. Find h, in the figure. The density is constant. The flow is inviscid and irrotational. Hint: apply Bernoulli's equation between the free surface and the discharge for tanks A and B individually. Then, since the flow rate leaving tank A (and entering tank B) must equal the rate leaving tank B, these two Bernoulli's Equations can be substituted and solved for one unknown. 1 10.0 cm = 0.01 m Tank A 士 Tank B d 0.02 m Figure 1. Q1
C2. A circular pipe 1 of 535 mm diameter branches into two pipes (pipe 2 and pipe 3) of diameters 325 mm and 180 mm respectively as shown in figure below. If the average velocity of pipe 1 and pipe 3 are 4.7 m/s and 3.85 m/s and the flow rate of pipe 2 is 1/3rd water flow in pipe 1. D2 Pipe 2 Pipe -D, Find the following: (3 Marks) O Flow rate of water through pipe 1 in m/s (m Velocity (V)) of pipe 2 in m/s (iin) Flow rate of water (Q3) through pipe 3 in m/s
On a circular conduit there are different diameters: diameter D1 = 2 m, changes into D2 = 3 m. The velocity in the entrance profile was measured: v1 = 3 m/s. Calculate the discharge and mean velocity at the outlet profile (see figure below). Determine also type of flow in both conduit profiles (whether the flow is laminar or turbulent) – temperature of water T = 12° C. (use Reynold’s number Re), For laminar flow: Re<2320, For turbulent flow Re>2320, Kinematic viscosity of water of 12°C, v is equal to 1,24 10^-6 m2/s.
A Francis radial-flow hydroturbine is being designed with the following dimensions: r2 = 2.00 m, r1 = 1.42 m, b2 = 0.731 m, and b1 = 2.20 m. The runner rotates at n. = 180 rpm. The wicket gates turn the flow by angle ?2 = 30° from radial at the runner inlet, and the flow at the runner outlet is at angle ?1 = 10° from radial. The volume flow rate at design conditions is 340 m3 /s, and the gross head provided by the dam is Hgross = 90.0 m. For the preliminary design, irreversible losses are neglected. Calculate the inlet and outlet runner blade angles ?2 and ?1, respectively, and predict the power output (MW) and required net head (m). Is the design feasible?
Water 2. In this system, d = 6 in., D = 6 ft, and =z2 = 12 ft. The water in the system is 13 cfs. machine a pump or a turbine? pressures at points A and B? losses. Pump 1. The discharge in the siphon is 2.80 cfs, D = 10 in., L1 = 3 ft, and L2 = 3 ft. Determine the head loss between the reservoir surface and point C. Determine the pressure at point B if three-quarters of the head loss (as found above) occurs between the reservoir surface and point B. 1 m REVIEW Home Work (1) Energy Equation Water T = 10ºC REPPER Water Same elevation Machine Elevation = 40 m -Elevation = 20 m Elevation 10 m 300 m + -300 m- 4. Assume that the head loss in the pipe is given by hL = 0.014(L/D)(V2/2g), where L is the length of pipe and AZ₂ AFL B Elevation 100 m L = 100 m D = 60 cm Water T= 10°C 3. A water discharge of 10 m3/s is to flow through this horizontal pipe, which is 1 m in diameter. If the head loss is given as 7V2/2g (V is velocity in the pipe), how much power will have to be supplied to the flow…
Please show complete diagrams and solutions T.Y :) Use Bernoulli's Energy Equation Dislike if not followed A 24 in. pipe conducts water from reservoir A to a pressure turbine (elev. = 15'), which discharges through another 24 in. pipe into tailrace B (elev. = 0'). The loss of head from A to 1 is 5 times the velocity head in the pipe and the loss of head from 2 to B is 0.2 times the velocity head in the pipe. What must water surface elevation at the reservoir be maintained such that the energy given up in the turbine is 552 hp? Assume discharge equals 25 cfs. Express all dimensions in English units.
help