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This problem is supposed to be solved using Matlab. Please provide m files or si

ID: 2965780 • Letter: T

Question

This problem is supposed to be solved using Matlab. Please provide m files or simulink files (or screenshots of simulink and resulting plots) so I can verify:

The compound tank system shown in Figure 1 consists of a spherical tank of radius Ri and a cylindrical tank of diameter D2. A liquid of constant density is fed at a volumetric rate F1in into the top of a spherical tank and volumetric rate into the top of the cylindrical tank. The spherical and cylindrical tanks interact through the pipe connecting them. The flow rates into the connecting pipe depend on the heights of the liquid in the tanks. The volumetric flow rate out of the spherical tank into the pipe is given by F1out =k1 h1, while the volumetric flow rate out of the cylindrical tank into the pipe is given by f2out =k1 h2 where and h2are the heights of the liquid in the spherical and cylindrical tanks respectively and is the common valve coefficient. The cylindrical tank also has a drain on the right-hand side which has volumetric flow rate F3out =k2 h2 where k2is the valve coefficient for the right-hand side drain. Obtain a dynamic model that describes the heights of the liquid in the tanks. Is this a linear or nonlinear model? For constant input flow rates, F1 in and F2 in analytically determine the steady-state values of and h2. Do the shapes and dimensions of the tanks affect the steady-state values? Note that you do not need to solve the differential equations for the steady state analysis. Simulate the system and plot the heights of the liquid in the tanks versus time for constant input flow rates using the values given in the table below. (Run the simulation for 2000 sec)

Explanation / Answer

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