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## Homework Statement

Derive a transfer function relating the input(volts) to the out put (pressure) of a fuel celll air fllow system.

## Homework Equations

P(gage)=P(abs)-P(atm)

Ideal gas law(PV=mRT)

[itex]dm/dt=mdot(in)-mdot(out)[/itex]

q=k(P(in)-P(out)) mass flowrate for a linear restriiction

## The Attempt at a Solution

[itex]dm/dt=mdot(in)-mdot(out)[/itex]

m=(RT)/(PV)

[itex](dRT/PV)/dt=mdot (in)-K(p(in)-P(out))[/itex]

take out constants

[itex]RT/V*(d*1/p)/dt=Mdont(in)-K(p(in)-P(out))[/itex] units for pressure is in seconds ( Pascal = 1 kg/(m*s^2))