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A ZA = 5m Control L₁ = 36 m D₁ = 4 cm volume -boundary B ZB=13 m Pump D₂ = 8 cm

A ZA = 5m Control L₁ = 36 m D₁ = 4 cm volume -boundary B ZB=13 m Pump D₂ = 8 cm

Elements Of Electromagnetics
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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ZA = 5 m Pump Control 4₁ = 36 m D₁ = 4 cm volume -boundary B ZB = 13 m Fig. 1 D₂ = 8 cm L₂ = 36 m
Transcribed Image Text:ZA = 5 m Pump Control 4₁ = 36 m D₁ = 4 cm volume -boundary B ZB = 13 m Fig. 1 D₂ = 8 cm L₂ = 36 m
Water at 20°C is to be pumped from a reservoir (Z₁ = 5 m) to another reservoir at a higher elevation (zB = 13 m) through two 36-m-long pipes connected in parallel, as shown in Fig. 1. The pipes are made of commercial steel, and the diameters of the two pipes are 4 and 8 cm. Water is to be pumped by a 70 percent efficient motor-pump combination that draws 8 kW of electric power during operation. The minor losses and the head loss in pipes that connect the parallel pipes to the two reservoirs are considered to be negligible. Write a Matlab code to determine the 13 unknown quantities, namely i. ii. iii. iv. V. vi. vii. viii. the total flow rate (ỷ) between the reservoirs the volume flow rate (V₁ and V₂) through each of the parallel pipes. the velocities (V₁ and V2) through each of the parallel pipes. The total head loss, h₁ the head loss (hL,1 and h₁2) through each of the parallel pipes. Useful Pump head, hpump,u the Reynolds number (Re₁ and Rе2) through each of the parallel pipes. the friction factor (f₁ and f₂) through each of the parallel pipes.
Transcribed Image Text:Water at 20°C is to be pumped from a reservoir (Z₁ = 5 m) to another reservoir at a higher elevation (zB = 13 m) through two 36-m-long pipes connected in parallel, as shown in Fig. 1. The pipes are made of commercial steel, and the diameters of the two pipes are 4 and 8 cm. Water is to be pumped by a 70 percent efficient motor-pump combination that draws 8 kW of electric power during operation. The minor losses and the head loss in pipes that connect the parallel pipes to the two reservoirs are considered to be negligible. Write a Matlab code to determine the 13 unknown quantities, namely i. ii. iii. iv. V. vi. vii. viii. the total flow rate (ỷ) between the reservoirs the volume flow rate (V₁ and V₂) through each of the parallel pipes. the velocities (V₁ and V2) through each of the parallel pipes. The total head loss, h₁ the head loss (hL,1 and h₁2) through each of the parallel pipes. Useful Pump head, hpump,u the Reynolds number (Re₁ and Rе2) through each of the parallel pipes. the friction factor (f₁ and f₂) through each of the parallel pipes.
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