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D. Part (a) : A polymer of densityp=0.85 g/cm³ and viscosity µ = 230 cP flows at a rate Q = 1,560 cm³ /s in a horizontal pipe of diameter 15 cm. Evaluate the following, all in CGS units : (aa)The mean velocity, um (ab)The Reynolds number Re, hence verifying that the flow is laminar. (ac)The maximum velocity, Umax

D. Part (a) : A polymer of densityp=0.85 g/cm³ and viscosity µ = 230 cP flows at a rate Q = 1,560 cm³ /s in a horizontal pipe of diameter 15 cm. Evaluate the following, all in CGS units : (aa)The mean velocity, um (ab)The Reynolds number Re, hence verifying that the flow is laminar. (ac)The maximum velocity, Umax

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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D. Part (a) : A polymer of density p= 0.85 g/cm³ and viscosity u = 230 cP flows at a rate Q = 1,560 cm³ /s in a horizontal pipe of diameter 15 cm. Evaluate the following, all in CGS units : (aa)The mean velocity, um (ab)The Reynolds number Re, hence verifying that the flow is laminar. (ac)The maximum velocity, Umax (ad)The pressure drop per unit length, – (ae)The wall shear stress, tw (af) The Fanning friction factor, fr (ag)The frictional dissipation F for 100 cm of pipe Part (b) : Figure D shows an experimental set up to measure viscosity of water. It is assumed that the flow is laminar. Water is supplied in a horizontal pipe from a tank. After a distance Ax from the entrance of the pipe, the pressure is measured as shown. Water flows through the pipe, exits and its flow rate is measured by directly counting the time At it takes to fill a receptable with a volume of 300 ml. This is a famous experiment by Poiseuille, a French physician who studied the flow of blood. (ba) Why is it important for the accuracy of the experiment to measure pressure after a certain distance Ax? (bb) Given the data in Figure A, calculate the viscosity of water. (bc) Is the assumption of laminar flow correct? (bd) Does your result for viscosity make sense? dz
Transcribed Image Text:D. Part (a) : A polymer of density p= 0.85 g/cm³ and viscosity u = 230 cP flows at a rate Q = 1,560 cm³ /s in a horizontal pipe of diameter 15 cm. Evaluate the following, all in CGS units : (aa)The mean velocity, um (ab)The Reynolds number Re, hence verifying that the flow is laminar. (ac)The maximum velocity, Umax (ad)The pressure drop per unit length, – (ae)The wall shear stress, tw (af) The Fanning friction factor, fr (ag)The frictional dissipation F for 100 cm of pipe Part (b) : Figure D shows an experimental set up to measure viscosity of water. It is assumed that the flow is laminar. Water is supplied in a horizontal pipe from a tank. After a distance Ax from the entrance of the pipe, the pressure is measured as shown. Water flows through the pipe, exits and its flow rate is measured by directly counting the time At it takes to fill a receptable with a volume of 300 ml. This is a famous experiment by Poiseuille, a French physician who studied the flow of blood. (ba) Why is it important for the accuracy of the experiment to measure pressure after a certain distance Ax? (bb) Given the data in Figure A, calculate the viscosity of water. (bc) Is the assumption of laminar flow correct? (bd) Does your result for viscosity make sense? dz
Tank filled with water, s value to control flow rate Flow vater Dx h= 6.0 cm L = 25.0 cm %3D 7 * =300ml D = 0.3 cm %3D receptable At - 67.56s %3D Tuis is a Loe bora tory experiament donigued and per fovmed 8y Poileuille! Jimple and famnes At Q peaje, note: Even today, this methed of flow rate is considered rueasuving Hhe most accurate!
Transcribed Image Text:Tank filled with water, s value to control flow rate Flow vater Dx h= 6.0 cm L = 25.0 cm %3D 7 * =300ml D = 0.3 cm %3D receptable At - 67.56s %3D Tuis is a Loe bora tory experiament donigued and per fovmed 8y Poileuille! Jimple and famnes At Q peaje, note: Even today, this methed of flow rate is considered rueasuving Hhe most accurate!
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