For fully-developed laminar flow through a pipe with ra- dius R, the fluid velocity is very accurately modeled as V = (Ur, Ug, U₂) = (0,0,u₂), with the axial component of velocity given by U₂ (r) = Uc = uc [1 − (7)²], - MF "c where ue is the fluid speed at the center of the pipe, r = 0. Compare the momentum flux for the laminar flow velocity distribution, uz (r), with that for a uniform How having (constant) speed uave = Uc/2, recalling that the momentum flux through a control surface is given by pV (V - ñ) dA. Ө Answer: |MF|lam = |MF|ave

For fully-developed laminar flow through a pipe with ra- dius R, the fluid velocity is very accurately modeled as V = (Ur, Ug, U₂) = (0,0,u₂), with the axial component of velocity given by U₂ (r) = Uc = uc [1 − (7)²], - MF "c where ue is the fluid speed at the center of the pipe, r = 0. Compare the momentum flux for the laminar flow velocity distribution, uz (r), with that for a uniform How having (constant) speed uave = Uc/2, recalling that the momentum flux through a control surface is given by pV (V - ñ) dA. Ө Answer: |MF|lam = |MF|ave

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Fluid Dynamics

The study of the flow of gases and liquids, usually in and around solid surfaces, is known as fluid dynamics in physics and engineering. Fluid dynamics, for example, can be used to evaluate the movement of air through an airplane wing or the surface of a vehicle. It can also be used in ship design to increase the speed at which ships pass through water.

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For fully-developed laminar flow through a pipe with ra-
dius R, the fluid velocity is very accurately modeled as
V = (Ur, Up, U₂) = (0,0, uz), with the axial component of
velocity given by
Ө
where ue is the fluid speed at the center of the pipe, r = 0).
Compare the momentum flux for the laminar flow velocity distribution, uz (r), with that for a uniform
flow having (constant) speed uave = uc/2, recalling that the momentum flux through a control surface
is given by
U₂(7) = uc [1 − (77)²],
z
MF
√ PV (V - ñ) dA.
Answer: |MF|lam = |MF|ave

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