f the diameter and length for pipel is (900mm, 1500m); pipe2 is (600mm, 900m) and pipes is (500mm, 400m)respectively. The elevation of water surface in reservoirs A and B are 75m and 67m respectively and the discharge throughpipel is (1.2 m/s). Find the discharge in pipe 2&3 and elevation of water surface for reservoir C. fr-0.0157, f: =0.0167,f= 0.017.Elevation - 76 mElevation mElevation?79.2916-1713-6

Answered: Image /qna-images/answer/377adcf7-911f-413b-975d-ac8cc0dd54d0.jpg

Answered: If the diameter and length for pipel is…

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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Hydraulics
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? -
Water flows over a dam into a rectangular channel of width b (out of page). At the bottom of the dam, the depth of flow is h₁. As you may have seen on watching rapid channel flow, the water may suddenly change elevation to height h₂ as it passes through a highly disturbed region called the hydraulic jump. If velocity is assumed uniform at 1 and 2, compute the height h2 using the control volume analysis. Take the pressures at 1 and 2 as hydrostatic, and assume that the flow is steady. Neglect friction at the channel bed and walls. (Courtesy of the Wright Water Engineers, Inc. and ASDSO) Hydraulic jump h₁ = 3 ft V₁ = 25 ft/s BE 2 h₂ =? V₂ = ? (a) Find the cubic equation, in terms of h₁, V₁, and g, that you must solve for the downstream depth h₂ of the water channel. (b) For h₁ = 3 ft and V₁ = 25 ft/s, find the downstream depth h₂. Use the standard value for g. Note that you are solving a cubic equation, and only one of the solutions is correct.
Question 2 A brand of toothpaste is made using a mixture of white and red paste. During the manufacturing process, both pastes are pumped through a pipe, with the red paste lying in the centre of the pipe, as shown in Figure Q2. The pipe has an internal radius, R₂, and the segment of red paste has a radius R₁. The flow is found to follow the Poiseuille equation, i.e. u(r) 1 dp - (R² — r²) 4μ dx dp Where is the pressure gradient. The total flow of dx u is the viscosity of the paste and toothpaste through the pipe is Qtot, and the flowrate of the red paste is red- The toothpaste has a density of p = 1200 kg/m³, and a viscosity of 0.03 Pa.s. The pipe has a radius R₂ 5 cm and a length L = 2 m. = a) Find an expression for the flowrate of the red toothpaste. You answer should be in terms of µ, R₁, R₂, dº) R₂₁ b) The flow in the pipe becomes turbulent when the Reynolds number reaches 2000 (where Re is calculated using the mean velocity across the pipe). What is the maximum pressure drop along…
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
Consider a column of water as it falls from a faucet. The opening in the faucet has radius ro and the water comes out with initial velocity vo. Define y to be the distance below the faucet. As the water falls (y increases), it accelerates due to gravity and the stream narrows. a) Assuming streamline flow, find an expression for the velocity of the water for any distance below the faucet. b) The stream obeys the continuity equation. Use this to determine the radius of the stream as a function of y. c) At what distance ₁/2 will the radius of the stream be half its original radius? At what distance Y1/3 will it be a third? d) Compare 1/2 and Y1/3 for v0 = = 1 m/s and v0 = 0.1 m/s (use g = 10 m/s²).
The discharge of water through a pipe of diameter 40 cm is 400 litres/s. If the pipe is bend by 135", find the magnitude and direction of the resultant force on the bend. The pressure of flowing water is 29.43 N/cm²
solve a and b.
The turbine at C draws a power P kW. If the intake B has a diameter of de mm. The pressure dg(mm) dĄ(mm) at the intake B is Ps kPa and the velocity of the water (density = 1kg/L) at that point is v (m/s). The frictional losses between A and B are At neglected, and the exit A has a diameter of da B1 mm. Consider the data in the table to M = last two digits of your student ID P (kW) = 0.5M + 68.5 da(mm) = M + 150 dp (mm) %3D М + 400 PB (kPa) = M + 380 v (m/s) = 0.1M + 4 a- Calculate the velocity at the exit A b- Calculate the discharge at the exit A c- Calculate the turbine head d- Calculate the pressure at A m=13
Title of the book: Fluid Power, Theory and Applications, 3rd Edition, James A. Sullivan
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