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In fluid mechanics, the equation that models the fluid level in a tank is: dh dt 1 (min-mout) Ap h is the water level of the tank A is the surface area of the bottom of the tank p is the density of the fluid min and mout are the mass flow rates of water in and out of the tank, the flow out is a function of the water level h: mout . . R is the resistance at the exit. Assume that the exit is at the bottom of the tank. g is the gravitational acceleration What to Do: 1. Build a model in Simulink to calculate the water level, h, as a function of time. Your model should stop running as soon as the tank is full. 2. Assuming the height of the tank is 2 meters, after how many seconds does the tank fill up? Use the following constants to test your model: A: area of the bottom of the tank 1 m² p: the density of fluid = 1000 kg/m³ R: the resistance at the exit = 3 (kg.m)-1/2 ho: Initial height of the fluid in the tank = 0 m g: the gravitational acceleration = 9.81 m/s² max: Height of tank = 2 m min: mass flow rate of water = 50 (kg/s) . . . 1 == . √pgh . R water What to Submit: 1. A Simulink file called Tank Simulink.slx 2. A one-page PDF file showing your Simulink mode, the height vs. time plot and showing when the model stops. 41

In fluid mechanics, the equation that models the fluid level in a tank is: dh dt 1 (min-mout) Ap h is the water level of the tank A is the surface area of the bottom of the tank p is the density of the fluid min and mout are the mass flow rates of water in and out of the tank, the flow out is a function of the water level h: mout . . R is the resistance at the exit. Assume that the exit is at the bottom of the tank. g is the gravitational acceleration What to Do: 1. Build a model in Simulink to calculate the water level, h, as a function of time. Your model should stop running as soon as the tank is full. 2. Assuming the height of the tank is 2 meters, after how many seconds does the tank fill up? Use the following constants to test your model: A: area of the bottom of the tank 1 m² p: the density of fluid = 1000 kg/m³ R: the resistance at the exit = 3 (kg.m)-1/2 ho: Initial height of the fluid in the tank = 0 m g: the gravitational acceleration = 9.81 m/s² max: Height of tank = 2 m min: mass flow rate of water = 50 (kg/s) . . . 1 == . √pgh . R water What to Submit: 1. A Simulink file called Tank Simulink.slx 2. A one-page PDF file showing your Simulink mode, the height vs. time plot and showing when the model stops. 41

Elements Of Electromagnetics
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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Simulink Assignment- Filling a Tank In fluid mechanics, the equation that models the fluid level in a tank is: dh 1 -(min Ap - mout) dt h is the water level of the tank A is the surface area of the bottom of the tank pis the density of the fluid Mim and mout are the mass flow rates of water in and out of the tank, the flow out is a function of the water level h: 1 mout Vpgh Ris the resistance at the exit. Assume that the exit is at the bottom of the tank. g is the gravitational acceleration What to Do: 1. Build a model in Simulink to calculate the water level, h, as a function of time. Your model should stop running as soon as the tank is full. 2. Assuming the height of the tank is 2 meters, after how many seconds does the tank fill up? Use the following constants to test your model: • A: area of the bottom of the tank = 1 m? • p: the density of fluid = 1000 kg/ m? • R: the resistance at the exit = 3 (kg.m)-1/2 • ho: Initial height of the fluid in the tank = 0 m • g: the gravitational acceleration = 9.81 m/s? • hmar: Height of tank = 2 m min: mass flow rate of water = 50 (kg/s) What to Submit: 1. A Simulink file called Tank_Simulink.six 2. A one-page PDF file showing your Simulink mode, the height vs. time plot and showing when the model stops.
Transcribed Image Text:Simulink Assignment- Filling a Tank In fluid mechanics, the equation that models the fluid level in a tank is: dh 1 -(min Ap - mout) dt h is the water level of the tank A is the surface area of the bottom of the tank pis the density of the fluid Mim and mout are the mass flow rates of water in and out of the tank, the flow out is a function of the water level h: 1 mout Vpgh Ris the resistance at the exit. Assume that the exit is at the bottom of the tank. g is the gravitational acceleration What to Do: 1. Build a model in Simulink to calculate the water level, h, as a function of time. Your model should stop running as soon as the tank is full. 2. Assuming the height of the tank is 2 meters, after how many seconds does the tank fill up? Use the following constants to test your model: • A: area of the bottom of the tank = 1 m? • p: the density of fluid = 1000 kg/ m? • R: the resistance at the exit = 3 (kg.m)-1/2 • ho: Initial height of the fluid in the tank = 0 m • g: the gravitational acceleration = 9.81 m/s? • hmar: Height of tank = 2 m min: mass flow rate of water = 50 (kg/s) What to Submit: 1. A Simulink file called Tank_Simulink.six 2. A one-page PDF file showing your Simulink mode, the height vs. time plot and showing when the model stops.
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