This please 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 & can be given by the dimensionless groups, where:AP = f(p,V,D,µ, 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-scalepipe if the average velocity of the hydrocarbon in the full-scale pipe is expected to be 1.8 m/s. The model uses water where the pressure drop permeter length is noted to be 4 kPa. The respective densities of water and hydrocarbon are 1000 kg/m² and 800 kg/m3, and dynamic viscosities are10-3 kg/m.s and 9x104 kg/m.sNote: Take (p,V,d ) as repeating variables.Select one:Oa. 1.025 kPaOb. 4.025 kPaO c. 3.025 kPad 2025kPa

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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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 & can be given by the dimensionless groups, where:
AP = f(p,V,D,µ, 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 1.8 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 1000 kg/m² and 800 kg/m3, and dynamic viscosities are
10-3 kg/m.s and 9x104 kg/m.s
Note: Take (p,V,d ) as repeating variables.
Select one:
Oa. 1.025 kPa
Ob. 4.025 kPa
O c. 3.025 kPa
d 2
025kPa

Expert Solution

Step 1

Dimensional analysis is a method of reducing the number of relevant variables in a physical problem by appealing to dimensional homogeneity. It comes in handy when it comes to presenting and evaluating experimental findings.
When a precise functional relationship is unknown, dimensional analysis is usually used to determine the relationships between various variables, i.e. to calculate the force as a function of other variables. We assume a given functional shape based on our understanding of the situation.