2b. Consider that the input to the tank-pipe liquid system is formed of a source pressure pi, the atmospheric pressure pa, and the input flow rate q., whereas the output is the output flow rate q. Derive the corresponding transfer function matrix by means of complex impedances considering that known are the element properties Ci and R. Utilize the transfer function approach using a) matlab and b)Simulink to plot the output flow rate of the liquid system shown. Known are pa = 10 N/m, of the tank). p= 1000 kg/m', d, = 0.020 m (diameter of the pipe). / = 18 m (length of pipe), u= 0.001N s/m. = 2.2x10 N/m², 0.03 m3/s. d=1.5m (diameter Tank Pipe R. Pressure source

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2b. Consider that the input to the tank-pipe liquid system is formed of a source pressure pi, the atmospheric
pressure pa, and the input flow rate q., whereas the output is the output flow rate q. Derive the corresponding
transfer function matrix by means of complex impedances considering that known are the element properties
Ci and R. Utilize the transfer function approach using a) matlab and b)Simulink to plot the output flow rate
of the liquid system shown. Known are pa = 10 N/m, pi =2.2x10 N/m2, q=0.03 m3/s. d=1.5 m (diameter
of the tank). p= 1000 kg/m', d, = 0.020 m (diameter of the pipe). / = 18 m (length of pipe), u=0.001N s/m?.
P.
Tank
Pipe
R.
Pressure source
Transcribed Image Text:2b. Consider that the input to the tank-pipe liquid system is formed of a source pressure pi, the atmospheric pressure pa, and the input flow rate q., whereas the output is the output flow rate q. Derive the corresponding transfer function matrix by means of complex impedances considering that known are the element properties Ci and R. Utilize the transfer function approach using a) matlab and b)Simulink to plot the output flow rate of the liquid system shown. Known are pa = 10 N/m, pi =2.2x10 N/m2, q=0.03 m3/s. d=1.5 m (diameter of the tank). p= 1000 kg/m', d, = 0.020 m (diameter of the pipe). / = 18 m (length of pipe), u=0.001N s/m?. P. Tank Pipe R. Pressure source
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