Figure 7.18 shows a liquid-level system in which two tanks have cross-sectional areas A1 and A2, respectively. The volume flow rate into tank 1 is qi. A pump is connected to the bottom….

## Develop a mathematical model of the pressure p in the container.

Dry air at a constant temperature of 25°C passes through a valve out of a rigid cubic container of 1.5 m on each side (Figure 7.42). The pressure *p*_{o} at the outlet of the valve is constant, and it is less than *p*. The valve resistance is approximately linear, and

*R *= 1000 Pa・s/kg. Assume that the process is isothermal.

a. Develop a mathematical model of the pressure *p *in the container.

b. Construct a Simulink block diagram to find the output *p*(*t*) of the pneumatic system if the pressure inside the container is initially 2 atm and the pressure at the outlet is 1 atm.