Figure shows two rigid tanks whose pneumatic capacitances are C1 and C2. The variables pi, p1, and p2 are small deviations around a reference steady-state

Figure shows two rigid tanks whose pneumatic capacitances are C1 and C2. The variables δpi, δp1, and δp2 are small deviations around a reference steady-state pressure pss. The pneumatic lines have linearized resistances R1 and R2. Assume an isothermal process. Derive a model of the pressures δp1 and δp2 with δpt as the input.

PI