Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tankA into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside eachtank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,initially, tank A contains pure water and tank B contains 20 kg of salt.A6 L/min0.2 kg/Lx(t)100 L4 L/minx(0) = 0 kg3 L/min1 L/minBy(t)100 Ly(0) = 20 kg2 L/minFigure Q1 - Mixing problem for interconnected tanksDetermine the mass of salt in each tank at time t≥ 0:Analytically (hand calculations)Using MATLAB Numerical Functions (ode45)Creating Simulink ModelPlot all solutions on the same graph for the first 15 min. The graph must be fully formatted by code.

Step 1:Analytical Solution Aim to solve the system of differential equations analytically as:…

Answered: Two large tanks, each holding 100 L of…

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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Pump Horsepower in Brine System. A pump pumps 0.200 ft3/s of brine solution having a density of 1.15 g/cm3 from an open feed tank having a large cross-sectional area. The suction line has an inside diameter of 3.548 in. and the discharge line from the pump a diameter of 2.067 in. The discharge flow goes to an open overhead tank, and the open end of this line is 75 ft above the liquid level in the feed tank. If the friction losses in the piping system are 18.0 ft lbf/lb m, what pressure must the pump develop and what is the horsepower of the pump if the efficiency is 70%? The flow is turbulent.
A siphon is a device in which liquid is transferred from one place to another without requiring any pump power. A tank is filled with water, and a valve at the top is open to the atmosphere. A siphon is used to drain water as shown in the figure below where X = 4.6 m and Y = 0.9 m. The siphon has the outside diameter (OD) of 50 mm and the wall thickness of 1.5 mm. Any loss can be ignored. Water Y X +B 50-mm OD x 1.5-mm wall 25-mm diameter (a) What is the volume flow rate of water at the nozzle exit? (b) Evaluate the pressure at points A and B. (c) What is the distance X required to obtain a volume flow rate of 7.1 x 10-3 m³/s? (d) It is required that the siphon transport water at the volume flow rate of 5.6 x 10-3 m³/s. What is the maximum allowable distance Y when the gauge pressure at B is -18 kPa.
Q4: A pressurized tank is providing water for a fountain at a steady flow rate, shown in the following figure. The pipe has a constant diameter. If the tank is pressurized to 50 kPa. Determine: 1) The height h, to which the water rises (hint: apply the Bernoulli's equation between points 0 and 2, where velocity is both zero); 2) The water velocity in the pipe (hint: apply the Bernoulli's equation between points 0 and 3 after h is found); 3) The static pressure of water in the horizontal part of the pipe. 2 All Water 50 kN/ 0 Figure 4. Q4
STELIA Aerospace are planning to design a spherical cryogenic tank to be stored with liquid hydrogen. It is also designed with a system that if the tank reaches maximum capacity all entry and exit nozzles will automatically be closed. The specific gravity of this fluid is approximately seven hundredths the density of water. The tank is designed to have two-entry filtration system and an exit nozzle located at the bottom. The liquid hydrogen flows into the cryogenic tank at a rate of 0.85 kilograms per second and 0.75 kilograms per second. At the same time the exit nozzle is opened with a rate of 0.005 kilograms per second. (a)The shutoff valves were closed after 35 minutes, what is the volume and radius of the spherical tank? (b) Using your answers on item a, how full is the tank (in percentage) after 27.15 minutes?
(b) The water is siphoned out of the tank shown in Figure Q4 (b). Determine the flow rate from the tank and the pressures at points (1) and (2).
What is the rate of superheated water vapor being added to the mixing chamber?
Water flows in a branched pipe as shown in Figure QS below. The water flows from Pipe A with a 165 mm diameter dividing into two smaller pipelines, Pipe D with a 97 mm diameter and Pipe B with an 81 mm diameter. The velocity in the 82 mm pipe (B) is 0.5 m/s and in the 97 mm pipe (D) is 0.43 m/s. Figure Q8 Calculate the velocity in m/s and the mass flow rate in kg/s in the 165 mm pipe (A) if the density of the water is 1000 kg/m³. Enter your answers to three significant figures. Velocity: m/s. Mass Flow Rate: kg s-1.
Consider the piping system shown in the figure. The speed of water flowing through the 4-in diameter segment of the piping system is 3 ft/s. What is the volumetric flow rate of water in the piping system? Express the volumetric flow rate in ft3/s, gpm, and L/s. For the case of steady flow of water through the piping system, what is the speed of water in the 3-in diameter segment?
1. The system in Figure 1 shows a pump that takes water from a lake at point "1" and raises it to an elevation of H = 30 m where it forms a free jet, falling into the storage tank. This system runs at a flow rate Q of 0.2 m³/s. Answer the following while ignoring frictional losses in the pipe (D = 0.2 m): (a) Does the water at point 2 have the same, less, or more energy than the water at point 3? State why (think about what Bernoullies equation is)? (b) Does the water at point 2 have the same, less, or more velocity than the water at point 3? Support your answer with an explanation of why. (c) Does the water at point 2 have the same, less, or more energy than the water at point 1? State why, describing what a pump does to the energy of the system. (d) What is the gauge pressure at point 2? (e) What is the change in total specific energy (J/kg) between points 1 and 2? (f) What is the change in head (m) between points 1 and 2, i.e. what is the pump head added to the water by the pump?…
0.95 m3/sec flow rate of water flows downwards in a pipe as shown in figure. If the pressures at points 1 and 2 are to be equal. Determine the diameter of the pipe at point 2.The velocity at point 1 is 6.5 m/sec and the diameter of pipe at point 1 is 330 mm. The height between point 1 and point 2 is 2.8 m?
Subject: Fluid Machineries
Q1: A pipe connecting a reservoir to a turbine which discharges water to the down through another pipe as shownin the figure. The head loss between the reservoir and the turbine is 8 times the kinetic head (8×V²/2g) in the pipe and that from the turbine to the down is 0.4 times the kinetic head (0.4xV?/2g) in the pipe. The rate of flow is 1.2 m/s and the pipe diameter in both cases is 1.1 m. Determine, the pressure at the inlet and exit of the turbine, and the power generated by the turbine. All required dimensions are illustrated on the figure. 1.1 m dia 50 m 1.1 m 5 m dia. Turbine (T)

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