Question 7.2: Dry air at a constant temperature of 20°C (293 K) passes thr...

Modeling and Analysis of Dynamic Systems

Dry air at a constant temperature of 20°C (293 K) passes through a valve into a rigid cubic container of 1 m on each side (see Figure 7.2). The pressure pi at the inlet of the valve is constant, and it is greater than p. The valve resistance is approximately linear, and R = 1000 Pa·s/kg. Assume the filling process is isothermal. Develop a mathematical model of the pressure p in the container.

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