In the vortex tube shown in Fig. P5.15, air enters at \(202 \mathrm{kPa}\) absolute and \(300 \mathrm{~K}\). Hot air leaves at \(150 \mathrm{kPa}\) absolute and \(350 \mathrm{~K}\), whereas cold air leaves at \(101 \mathrm{kPa}\) absolute and \(250 \mathrm{~K}\). The hot air mass flow rate, \(\dot{m}_{H}\), equals the cold air mass flow rate, \(\dot{m}_{C}\). Find the ratio of the hot air exit area to cold air exit area for equal exit velocities.

Figure P5.15

Transcribed Image Text:

T=350 K P = 150 kPa m T = 300 K p = 202 kPa TC= 250 K Pc 101 kPa mc