# PS_1%20soln - ChBE421 Problem Set#1 Solution Fall 2009 1...

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ChBE421 Problem Set #1 Solution Fall 2009 1. The bulk velocity can be obtained by 1 b A u udA A = ∫∫ (5 pts) Hence, 2 2 1 2 2 0 0 2 1 2 2 0 2 4 1 2 2 0 1 1 3 1 2 3 1 2 3 2 4 3 2 a b a a r u U rdrd a a r U rdr a a r r U a a U π θ = × - = × - = × - = ∫ ∫ (5 pts) 2. A pressure balance can be written with regards to the lowest point in the manometer tube as (with P A as gauge pressure) 2 3.5m oil 0.5m H O 0.4mHg A P + + = (4 pts) Solving for P A gives ( 29 2 0.4 13.6 1000 3.5 0.8 1000 0.5 1000 9.8 20972 kg/m s 20972 Pa A P = × × - × × - × × = = (6 pts) 3. The pressure balance at the top of the manometer gives 2 2 2 H O Hg A B P d P d + = + (2 pts) where A' and B' are the high points close to A and B , respectively. The pressures of points A and B are then ( 29 2 1 2 H O A A P P d d = + + (2 pts) ( 29 2 1 3 2 H O B B P P d d d = + + + (2 pts) Hence, the pressure difference is

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( 29 3 2 2 2
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PS_1%20soln - ChBE421 Problem Set#1 Solution Fall 2009 1...

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