Blue and yellow streams of paint (each with a density of 1.6 slugs/ft3 and a viscosity 1500 times greater than water) enter a pipe with an average velocity of 9 ft/s as shown in the figure below. Would you expect the paint to exit the pipe as green paint or separate streams of blue and yellow paint? Explain. Repeat the problem if the paint were "thinned" so that it is only 10 times more viscous than water. Assume the density remains the same, and the temperature is 60°F.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Blue and yellow streams of paint (each with a density of 1.6 slugs/ft³ and a viscosity 1500 times greater than water) enter a pipe
with an average velocity of 9 ft/s as shown in the figure below. Would you expect the paint to exit the pipe as green paint or
separate streams of blue and yellow paint? Explain. Repeat the problem if the paint were "thinned" so that it is only 10 times more
viscous than water. Assume the density remains the same, and the temperature is 60°F.
Classify the flow.
Splitter
Laminar
Yellow
Blue
Laminar flow has mixing only by molecular diffusion.
Turbulent flow has mixing due to large scale fluctuations.
Reynolds number is a measure of whether flow is laminar or turbulent.
Classification of viscous flow as laminar or turbulent dictates how the flow is analyzed.
What is the Reynolds number for the flow with a viscosity 1500 times that of water?
Re=
2 in.
What is the entrance length for this Reynolds number?
le=
ft
Green?
25 ft
Transcribed Image Text:Blue and yellow streams of paint (each with a density of 1.6 slugs/ft³ and a viscosity 1500 times greater than water) enter a pipe with an average velocity of 9 ft/s as shown in the figure below. Would you expect the paint to exit the pipe as green paint or separate streams of blue and yellow paint? Explain. Repeat the problem if the paint were "thinned" so that it is only 10 times more viscous than water. Assume the density remains the same, and the temperature is 60°F. Classify the flow. Splitter Laminar Yellow Blue Laminar flow has mixing only by molecular diffusion. Turbulent flow has mixing due to large scale fluctuations. Reynolds number is a measure of whether flow is laminar or turbulent. Classification of viscous flow as laminar or turbulent dictates how the flow is analyzed. What is the Reynolds number for the flow with a viscosity 1500 times that of water? Re= 2 in. What is the entrance length for this Reynolds number? le= ft Green? 25 ft
Determine for the large viscosity case:
Laminar flow has mixing only by molecular diffusion.
Turbulent flow has mixing due to large scale fluctuations.
Reynolds number is a measure of whether flow is laminar or turbulent.
Classification of viscous flow as laminar or turbulent dictates how the flow is analyzed.
If the entry length is greater than the tube length, is the flow fully developed?
Will the flow leave the pipe as separate streams at this Reynolds number?
Transcribed Image Text:Determine for the large viscosity case: Laminar flow has mixing only by molecular diffusion. Turbulent flow has mixing due to large scale fluctuations. Reynolds number is a measure of whether flow is laminar or turbulent. Classification of viscous flow as laminar or turbulent dictates how the flow is analyzed. If the entry length is greater than the tube length, is the flow fully developed? Will the flow leave the pipe as separate streams at this Reynolds number?
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