To determine The velocity ( V A ) of the gas at A . Explanation Given: The temperature of the carbon dioxide is 20 ° C . The density of the carbon dioxide ( ρ H g ) is 13550 kg/m 3 . The diameter at point A ( d A ) is 150 mm . The diameter at point B ( d B ) is 300 mm . Calculation: Consider the gas flow A to B as a control volume in the pipe. Refer Appendix A, “Physical properties of gases at standard Atmospheric pressure 101.3 kPa (SI units)” The density of carbon-dioxide ( ρ C O 2 ) as 1.84 kg / m 3 at 20 ° C . Datum z A = 0 and z B = 0 since the h Horizontal datum line passing through A and B. Apply Bernoulli equation between A and B . p A ρ C O 2 + V A 2 2 + g z A = p B ρ C O 2 + V B 2 2 + g z B p A 1.84 + V A 2 2 + 0 = p B 1.84 + V B 2 2 + 0 p B 1.84 − p A 1.84 = V A 2 2 − V B 2 2 p B − p A = 0.92 ( V A 2 − V B 2 ) Apply continuity Equation to obtain the velocity at point B . ∂ ∂ t ∫ c v ρ d V + ∫ c s ρ V ⋅ d A = 0 0 − V A A A + V B A B = 0 − V A A A + V B A B = 0 − V A ( π 4 d A 2 ) + V B ( π 4 d B 2 ) = 0 { − V A × ( π 4 × ( 150 mm × 1 m 1 , 000 mm ) 2 ) + V B ( π 4 × ( 300 mm × 1 m 1 , 000 mm ) 2 ) } = 0 − 0

2nd Edition

ISBN: 9780134626055

Author: HIBBELER

Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)

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Chapter 5, Problem 65P

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The velocity (VA) of the gas at A.

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Chapter 5, Problem 64P

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