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A team of engineers tasked with the design of a pipe system is currently sizing some of the different subsections. The team has started by identifying two types of pipes, each of them involving different fluids (water and glycerin) as shown in Figure 4 below. Material roughness is e = 10μm for both.

A team of engineers tasked with the design of a pipe system is currently sizing some of the different subsections. The team has started by identifying two types of pipes, each of them involving different fluids (water and glycerin) as shown in Figure 4 below. Material roughness is e = 10μm for both.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Question 4 A team of engineers tasked with the design of a pipe system is currently sizing some of the different subsections. The team has started by identifying two types of pipes, each of them involving different fluids (water and glycerin) as shown in Figure 4 below. Material roughness is e = 10μm for both. D₁ = 0.1m D₂ = 0.15m (a) (b) V₂ Section 1 Pw=999 kg/m³ P = 0.00112 N-s/m² P₁ = 1260 kg/m³ #₂ = 1.5 N-s/m² Figure 4 Section 2 Pipe 1 (water) Pipe 2 (glycerin) 1.1D₂ 1.1D ₂ Consider only Section 1, where pipe diameter is respectively Di and D2, and estimate the head loss per meter when the volume flow rate within each pipe is Q=0.05 m³/s. Refer to the given values of density (p) and dynamic viscosity (u) indicated in the figure as well as to the Moody chart in the next page where appropriate. As also shown in the figure above, the diameter of the pipe increases by 10% across a sudden expansion for both cases. What is the head loss per meter over Section 2? In order to account for minor losses, estimate the head loss due to the sudden expansion in between Sections 1 and 2.
Transcribed Image Text:Question 4 A team of engineers tasked with the design of a pipe system is currently sizing some of the different subsections. The team has started by identifying two types of pipes, each of them involving different fluids (water and glycerin) as shown in Figure 4 below. Material roughness is e = 10μm for both. D₁ = 0.1m D₂ = 0.15m (a) (b) V₂ Section 1 Pw=999 kg/m³ P = 0.00112 N-s/m² P₁ = 1260 kg/m³ #₂ = 1.5 N-s/m² Figure 4 Section 2 Pipe 1 (water) Pipe 2 (glycerin) 1.1D₂ 1.1D ₂ Consider only Section 1, where pipe diameter is respectively Di and D2, and estimate the head loss per meter when the volume flow rate within each pipe is Q=0.05 m³/s. Refer to the given values of density (p) and dynamic viscosity (u) indicated in the figure as well as to the Moody chart in the next page where appropriate. As also shown in the figure above, the diameter of the pipe increases by 10% across a sudden expansion for both cases. What is the head loss per meter over Section 2? In order to account for minor losses, estimate the head loss due to the sudden expansion in between Sections 1 and 2.
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