The frictional pressure drop p for a fluid of density p and viscosity u flowing with a velocity V through a circular pipe of inside diameter d, length L, and surface roughness ɛ can be given by the dimensionless groups, where: ΔΡf (p, V, D, μ, L, ε) A half-scale model is used to simulate the flow of a liquid hydrocarbon in a pipeline. Determine the expected pressure drop along the full-scale pipe if the average velocity of the hydrocarbon in the full-scale pipe is expected to be 3 m/s. The model uses water where the pressure drop per meter length is noted to be 4 kPa. The respective densities of water and hydrocarbon are 900 kg/m3 and 800 kg/m3, and dynamic viscosities are 10-3 kg/m.s and 9x10-4 kg/m.s. Note: Take (p,V,d ) as repeating variables.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.9P: When a sphere falls freely through a homogeneous fluid, it reaches a terminal velocity at which the...
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The frictional pressure drop p for a fluid of
density p and viscosity u flowing with a
velocity V through a circular pipe of inside
diameter d, length L, and surface
roughness ɛ can be given by the
dimensionless groups, where:
AP = f (p,V,D, H, L, ɛ)
A half-scale model is used to simulate the
flow of a liquid hydrocarbon in a pipeline.
Determine the expected pressure drop
along the full-scale pipe if the average
velocity of the hydrocarbon in the full-scale
pipe is expected to be 3 m/s. The model
uses water where the pressure drop per
meter length is noted to be 4 kPa. The
respective densities of water and
hydrocarbon are 900 kg/m³ and 800 kg/m3,
and dynamic viscosities are 10-3 kg/m.s and
9x10-4 kg/m.s.
Note: Take (p,V,d ) as repeating
variables.
Select one:
a. 1.139 kPa
b. 1.0125 kPa
c. 2.1025 kPa
O d. 1.512 kPa
Transcribed Image Text:The frictional pressure drop p for a fluid of density p and viscosity u flowing with a velocity V through a circular pipe of inside diameter d, length L, and surface roughness ɛ can be given by the dimensionless groups, where: AP = f (p,V,D, H, L, ɛ) A half-scale model is used to simulate the flow of a liquid hydrocarbon in a pipeline. Determine the expected pressure drop along the full-scale pipe if the average velocity of the hydrocarbon in the full-scale pipe is expected to be 3 m/s. The model uses water where the pressure drop per meter length is noted to be 4 kPa. The respective densities of water and hydrocarbon are 900 kg/m³ and 800 kg/m3, and dynamic viscosities are 10-3 kg/m.s and 9x10-4 kg/m.s. Note: Take (p,V,d ) as repeating variables. Select one: a. 1.139 kPa b. 1.0125 kPa c. 2.1025 kPa O d. 1.512 kPa
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