For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a distance 2h, the velocity components are: u = U(1 h2 -(1-) v = 0 where U is the centreline velocity and the x-axis is located at the centreline. Assume steady, fully developed and incompressible laminar flow. a) For the problem above, obtain the final form of the energy equation after applying the given assumptions. b) Identify the fluid temperature distribution T(y) , for a constant wall temperature Tw at each plate. Hint: The incompressible flow energy equation can be written in the following form dT (ôT ¸ ô°T¸ &°T dt where; ĉu
For pressure-driven laminar flow between two horizontal infinite parallel plates separated by a distance 2h, the velocity components are: u = U(1 h2 -(1-) v = 0 where U is the centreline velocity and the x-axis is located at the centreline. Assume steady, fully developed and incompressible laminar flow. a) For the problem above, obtain the final form of the energy equation after applying the given assumptions. b) Identify the fluid temperature distribution T(y) , for a constant wall temperature Tw at each plate. Hint: The incompressible flow energy equation can be written in the following form dT (ôT ¸ ô°T¸ &°T dt where; ĉu
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Question 4
For pressure-driven laminar flow between two horizontal infinite parallel plates
separated by a distance 2h, the velocity components are:
u = U1
h2
v = 0
where U is the centreline velocity and the x-axis is located at the centreline.
Assume steady, fully developed and incompressible laminar flow.
a)
For the problem above, obtain the final form of the energy equation after
applying the given assumptions.
b)
Identify the fluid temperature distribution T(y) , for a constant wall temperature
Tw at each plate.
Hint: The incompressible flow energy equation can be written in the following form
dT
p C,-
+
dt
where;
Ow
+2
+2
+
+
ôy ôz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe85cce5-9ee9-4465-b1cb-6a3967371703%2F29606144-9def-4b03-9d9b-129e860268c3%2Fk6rcskmf_processed.png&w=3840&q=75)
Transcribed Image Text:Question 4
For pressure-driven laminar flow between two horizontal infinite parallel plates
separated by a distance 2h, the velocity components are:
u = U1
h2
v = 0
where U is the centreline velocity and the x-axis is located at the centreline.
Assume steady, fully developed and incompressible laminar flow.
a)
For the problem above, obtain the final form of the energy equation after
applying the given assumptions.
b)
Identify the fluid temperature distribution T(y) , for a constant wall temperature
Tw at each plate.
Hint: The incompressible flow energy equation can be written in the following form
dT
p C,-
+
dt
where;
Ow
+2
+2
+
+
ôy ôz
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