The hydraulic head loss, hf, in a simple pipeline is assumed to depend on the following quantities: The density (p) and viscosity (µ) of the fluid The diameter (D), length (L) and roughness (ks) of the pipe A typical flow velocity (usually the mean velocity) V a) Develop the appropriate dimensionless groups to describe the flow. b) A 10 km pipeline, 750 mm diameter, is to be used to convey oil (p = 850 kg/m³, µ = 0.008 kg/m-s). the design discharge is 450 L/s. the pipeline will incorporate booster pumping stations at suitable intervals. As part of the design procedure, a model study is to be carried out. A model scale AL = 1/50 has been selected. And air is to be used as the model fluid. The air has a density of 1.2 kg/m³ and viscosity of 1.8 x-$ kg/m-s. determine the mean air velocity that will the model correctly simulating the flow of oil. c) If the head loss in the model is 10 m for the full pipe length, determine the head loss in the prototvne

Structural Analysis
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The hydraulic head loss, hf, in a simple pipeline is assumed to depend on the following
quantities:
The density (p) and viscosity (u) of the fluid
The diameter (D), length (L) and roughness (ks) of the pipe
A typical flow velocity (usually the mean velocity) V
a) Develop the appropriate dimensionless groups to describe the flow.
b) A 10 km pipeline, 750 mm diameter, is to be used to convey oil (p = 850 kg/m³, µ
= 0.008 kg/m-s). the design discharge is 450 L/s. the pipeline will incorporate
booster pumping stations at suitable intervals. As part of the design procedure, a
model study is to be carried out. A model scale AL = 1/50 has been selected. And air
is to be used as the model fluid. The air has a density of 1.2 kg/m³ and viscosity of
1.8 x kg/m-s. determine the mean air velocity that will the model correctly
simulating the flow of oil.
c) If the head loss in the model is 10 m for the full pipe length, determine the head loss
in the prototype.
Transcribed Image Text:The hydraulic head loss, hf, in a simple pipeline is assumed to depend on the following quantities: The density (p) and viscosity (u) of the fluid The diameter (D), length (L) and roughness (ks) of the pipe A typical flow velocity (usually the mean velocity) V a) Develop the appropriate dimensionless groups to describe the flow. b) A 10 km pipeline, 750 mm diameter, is to be used to convey oil (p = 850 kg/m³, µ = 0.008 kg/m-s). the design discharge is 450 L/s. the pipeline will incorporate booster pumping stations at suitable intervals. As part of the design procedure, a model study is to be carried out. A model scale AL = 1/50 has been selected. And air is to be used as the model fluid. The air has a density of 1.2 kg/m³ and viscosity of 1.8 x kg/m-s. determine the mean air velocity that will the model correctly simulating the flow of oil. c) If the head loss in the model is 10 m for the full pipe length, determine the head loss in the prototype.
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