Emt101 Project 3 Matlab Draining A Tank 100 A Vertical Cylindrical Tank With A Height Hm And A Diameter D M Is Fil 1 (79.89 KiB) Viewed 36 times
EMT101: PROJECT 3: MATLAB: DRAINING A TANK (100%) A vertical cylindrical tank with a height hm and a diameter D m is filled with water as depicted in Figure 1. The bottom of the tank has a circular drain. When a drain is open, water can flow out of it. According to Torricelli's law, the volumetric flow rate is Q(t)= and the volume of water is described as Ca√2gh(t) nd² 4 2 V(t) = π (2) h(t) T and the water outlet velocity when draining a tank can be calculated as v(t) = √2gh(t) where Ca is the coefficient of discharge, hm is the height of the water in the tank, d m is the diameter of the circular drain and g is the gravitational acceleration. Assume the tank is initially filled with water to a height of h(0) = H. Then the time t s required for the tank to empty can be calculated from 2 0.5 t =) ** (√√hf) where H initial height of the water and hf is the final height of the water. If h(t) is the height of water in the tank for t 20, then Torricelli's law implies h(t) =(√H - t/K)² where K = (²05. Consider C₁=1, g = 9.8 m/s² and hf = 0m, calculate the volumetric flow, volume of water, water outlet velocity, and height of the water in the tank t seconds after the drain is opened and until it is empty. Write a MATLAB program to calculate and visualise the h, Q, V, and v in the t intervals. Your program should have the following: 1. Request the user input for the initial height of the water, diameter of the circular drain and diameter of the tank. 2. Use the if else statement to execute the for loop if condition 1 is satisfied. The given conditions are as follows: a) Condition 1 = d < D (if true, for loop will be executed) b) Else = input is invalid! d must less than D. 3. Break the for loop when condition 1 is false. Then your program will stop. 4. Compute the h, Q.V. and v values using a function.
5. Plot the h, Q, V, and v on the same axis. 6. Set up suitable legend, title, axis-label, and line colour in your graph. PLEASE WRITE YOUR SOURCE CODE IN M-FILE AND SUBMIT IT THROUGH E-LEARNING. THE SUBMISSION DATE IS 13/7/2022 D Figure 1: Water Tank h
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