Exam 2 Spring 2008 Solutions

# Exam 2 Spring 2008 Solutions - ChBE 3200A NAME_SOLUTION...

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ChBE 3200A Exam 2 Spring 2008 NAME: ____ SOLUTION __________ (1) How much power is needed to pump oil through a cast-iron pipe of diameter 3 cm and roughness 90 μ m over a length of 10 m? The flow rate is 5 m 3 /minute. (Note: 1 μ m = 10 -6 m) Oil viscosity μ = 0.1 Pa·s Oil density ρ = 0.85 g/cm 3 2 2 2 2 3 2 2 3 2 / 502 , 69 ) / 9 . 117 ( 03 . 0 10 ) 0075 . 0 ( * 2 2 ) ( 0075 . 0 003 . 0 03 . 0 / 0009 . 0 / 065 , 30 1 . 0 ) / 850 ( * ) / 9 . 117 ( * ) 03 . 0 ( Re / 9 . 117 60 min 1 * ) ( 03 . 0 4 min) / ( 5 4 s m s m m m v D L f g h chart Moody from read f m m D e s Pa m kg s m m Dv s m s m m D Q v f L f = = = = = = = = = = = = μ ρ ππ s J s m m kg s m g h Q g h m dt dW L L / 000 , 923 , 4 / 502 , 69 * / 850 * 60 / 5 2 2 3 3 = = = = (2) A flow of fluid through a 2 cm diameter pipe is known to be laminar, with Re = 1000. The plant manager wants to increase the volumetric flowrate of the fluid by a factor of 5. However, this stream must remain laminar and the viscosity and density cannot change. One idea is to change the pipe diameter to maintain laminar flow.

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Exam 2 Spring 2008 Solutions - ChBE 3200A NAME_SOLUTION...

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