Tank Experiment

Injected mass curve and injection temperature can be obtained from:

With a tank test it is possible to measure temperature at injection point or in the middle of the tank. For pressure the two values are equal.

T_in and P are known

(1)

\dot{m} = \frac{\frac{d P}{d t} V}{γ (γ - 1) C_{V} T_{i n}}

(2)

\dot{m} = \frac{(T \frac{d P}{d t} - P \frac{d T}{d t}) V}{γ (γ - 1) C_{V} T^{2}}

Or,(3)

m = \frac{P V}{(γ - 1) C_{V} T}

(4)

T ​ {}_{i n}= \frac{T^{2} \frac{d P}{d t}}{γ (T \frac{d P}{d t} - P \frac{d T}{d t})}

Or,(5)

T ​ {}_{i n}= \frac{T}{γ} + \frac{m \frac{d T}{d t}}{γ m}

And if $T$ is constant: $T_{i n} = T / γ$ .