Problem Water of constant density p flows down an inclined straight pipe, which has a circular cross section of radius R. There is no pump driving the flow and flow is fully developed. The angle between the pipe and the horizontal plane is a constant 4. The viscosity of water is a constant µ.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Problem
Water of constant density p flows down an inclined straight pipe, which has
a circular cross section of radius R. There is no pump driving the flow and flow is fully
developed. The angle between the pipe and the horizontal plane is a constant d. The viscosity of
water is a constant µ.
a)
by using appropriate assumptions/arguments.
b)
boundary conditions.
c)
wall for every unit length of the pipe in the axial direction.
d)
wall for every unit length of the pipe in the axial direction, and compare the results in c) and
d).
e)
the pipe wall, at (r = R/2,0 = 0)
Simplify the Navier Stokes equations to a form that can be solved with paper&pencil
Solve the simplified equation to obtain the velocity profile by using appropriate
By using surface integral of viscous stress, compute the viscous drag on the pipe
By using force balancing on a control volume, compute the viscous drag on the pipe
Compute the viscous stress on a cross-section area, that is a control surface normal to
Transcribed Image Text:Problem Water of constant density p flows down an inclined straight pipe, which has a circular cross section of radius R. There is no pump driving the flow and flow is fully developed. The angle between the pipe and the horizontal plane is a constant d. The viscosity of water is a constant µ. a) by using appropriate assumptions/arguments. b) boundary conditions. c) wall for every unit length of the pipe in the axial direction. d) wall for every unit length of the pipe in the axial direction, and compare the results in c) and d). e) the pipe wall, at (r = R/2,0 = 0) Simplify the Navier Stokes equations to a form that can be solved with paper&pencil Solve the simplified equation to obtain the velocity profile by using appropriate By using surface integral of viscous stress, compute the viscous drag on the pipe By using force balancing on a control volume, compute the viscous drag on the pipe Compute the viscous stress on a cross-section area, that is a control surface normal to
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