example 9-1 - Example 9-1 Air enters a T-junction in a pipe...

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Example 9-1 Air enters a T-junction in a pipe with a volumetric flow rate of 3.08 x 10 -4 m 3 /s, as shown. The air branches into two pipes, exiting the smaller pipe at 3 2.0 m/s = V . Using data on the figure, determine 2 the exit velocity from the larger pipe. Solution: From conservation of mass 12 mmm =+ ±±± 3 1 11 mV ρ = ± ± 1 3 kg density(Air, 25, 160) 1.87 m TP == = =
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3 44 1 3 kg m kg 1.87 3.08 10 5.76 10 ms m −− ⎛⎞ = × ⎜⎟ ⎝⎠ ± s 3 To find mass flow rate at station 3, 33 3 mA ρ = ± V 1 3 kg density(Air, 25, 159.5) 1.86 m TP == = = 2 2 3 3 kg m 0.3 1.86 2.0 m 1 0 0 m π = ± 4 3 kg 1.05 10 s m ± Returning to conservation of mass 21 mmm =− ±± 3 ± () 2 kg 5.76 10 1.05 10
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example 9-1 - Example 9-1 Air enters a T-junction in a pipe...

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