Problem 2: Control volume and BernoulliWater drains from a tank through two r = 0.01 m diameter orifices: one located directly at thebottom of the tank, and the other at H/2. The tank has a diameter of R = 1m and the height ofthe water level is initially H = 1.5m.(1) Find the equations relating h and t for t t*.(2) Find the time, t*, it takes for the water level to drain to h(t*) = H/2.(3) Plot the relationship between the non-dimensional values (r/R)2√2g/H t (on the x-axis) and(on the y-axis) for t < t* and t> t*.RVH/2h(t)→ |HFigure 2: Draining tank with two orifices.

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Answered: Problem 2: Control volume and Bernoulli…

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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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.
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5. Consider two tanks, A and B, each with a large opening at the top. The two tanks contain different liquids. A small hole is made in the side of each tank at the same depth h below the liquid surface, but the hole in tank A has three times the cross-sectional area of the hole in tank B. (a) If it is known that the mass flow rate is the same for the two holes, find the ratio of PALPB of the densities of the liquids in tanks A and B. (b) (c) equal volume flow rates, what height above the hole must the liquid in tank A be just then? Find the ratio RVAIRVB of the volume flow rates from the two tanks. At one instant, the liquid in tank B is 90 cm above the hole. If the tanks are to have
Question 8 download image D The water in a large tank exits through a horizontal circular pipe of diameter D=0.01m and length L=94m. The centre of the exit of the pipe is h=1.0m below the water surface. We can assume that the flow entrance to the pipe is smooth so that there are no minor losses. The flow in the pipe is laminar, the friction factor can be assumed constant and can be found from h fD=64/Rep where the Reynolds number is based on the pipe diameter and mean flow speed in the pipe. Taking frictional losses into account, solve the resulting quadratic equation to calculate the speed of the flow out of the pipe. Give your answer in m/s to 2 decimal places. Use: kinematic viscosity given by v=0.00000114 m²/s density of water given by 1000 kg/m3 acceleration due to gravity of 9.81 m/s² A Moving to another question will save this response. >>
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Water enters a house through a pipe with an inside diameter of 20 mm at an absolute pressure of 4 ATM. A 10 mm diameter pipe leads to a second-floor bathroom 5.0 m above. When the flow speed at the inlet pipe is 4 m/s, (a) Find the speed of the water flow and pressure in the bathroom. (b) Find the volume flow rate in the bathroom. (c) What is the horse power rating of the motor pump at the inlet pipe needed? Assuming 60% Efficiency.
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