The maximum theoretical flow rate (slug s) through a supersonic nozzle is dot m max 2 38 frac A t p 0 sqrt T 0 where (A t left( mathrm ft 2 ight) ) is the nozzle throat area, (p 0 ) (psia) is the tank pressure, and (T 0 ( mathrm R ) ) is the tank temperature Is this equation dimensionally correct I...

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The maximum theoretical flow rate (slug/s) through a supersonic nozzle is [dot{m}_{max }=2.38 frac{A_{t} p_{0}}{sqrt{T_{0}}}] where (A_{t}left(mathrm{ft}^{2}

Question:

The maximum theoretical flow rate (slug/s) through a supersonic nozzle is

\[\dot{m}_{\max }=2.38 \frac{A_{t} p_{0}}{\sqrt{T_{0}}}\]

where $A_{t}\left(\mathrm{ft}^{2}\right)$ is the nozzle throat area, $p_{0}$ (psia) is the tank pressure, and $T_{0}(\mathrm{R})$ is the tank temperature. Is this equation dimensionally correct? If not, find the units of the 2.38 term. Write the equivalent equation in SI units.

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