Problem 3. The head loss (ft) in a piping system is represented by the equation H, = 50 + %3D 6.0 100 + Hy. The pump to be used has a characteristic curve provided by the manufacturer, Hp = 68 – 0.5 () - 4.5 (), flowrate is in gallons per minute (gpm). (a) Find the flowrate andj pump head 100 100, if two pumps are used in parallel with the valve wide open (H, = 0) and with 5 ft of valve head loss. (b) Find the flowrate and pump head if two pumps are used in series with the valve wide open (H, = 0) and with 5 ft of valve head loss. (c) If a single pump is used with a variable speed motor and no control valve, what impeller speed is required to achieve a flowrate of 80 gpm. Where possible provide plots indicating where the operating point is. Note: When n pumps are connected in parallel each pump has a flowrate of Qrotal/n and the same head (Hs). When n pumps are connected in series each pump has the same flowrate and a pump head of Hs/n.
Problem 3. The head loss (ft) in a piping system is represented by the equation H, = 50 + %3D 6.0 100 + Hy. The pump to be used has a characteristic curve provided by the manufacturer, Hp = 68 – 0.5 () - 4.5 (), flowrate is in gallons per minute (gpm). (a) Find the flowrate andj pump head 100 100, if two pumps are used in parallel with the valve wide open (H, = 0) and with 5 ft of valve head loss. (b) Find the flowrate and pump head if two pumps are used in series with the valve wide open (H, = 0) and with 5 ft of valve head loss. (c) If a single pump is used with a variable speed motor and no control valve, what impeller speed is required to achieve a flowrate of 80 gpm. Where possible provide plots indicating where the operating point is. Note: When n pumps are connected in parallel each pump has a flowrate of Qrotal/n and the same head (Hs). When n pumps are connected in series each pump has the same flowrate and a pump head of Hs/n.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![**Problem 3.**
The head loss (ft) in a piping system is represented by the equation:
\[ H_s = 50 + 6.0\left(\frac{Q}{100}\right)^2 + H_v \]
The pump to be used has a characteristic curve provided by the manufacturer:
\[ H_p = 68 - 0.5\left(\frac{Q}{100}\right) - 4.5\left(\frac{Q}{100}\right)^2 \]
Flowrate is in gallons per minute (gpm).
**(a)** Find the flowrate and pump head if two pumps are used in parallel with the valve wide open (\( H_v = 0 \)) and with 5 ft of valve head loss.
**(b)** Find the flowrate and pump head if two pumps are used in series with the valve wide open (\( H_v = 0 \)) and with 5 ft of valve head loss.
**(c)** If a single pump is used with a variable speed motor and no control valve, what impeller speed is required to achieve a flowrate of 80 gpm? Where possible, provide plots indicating where the operating point is.
**Note:** When \( n \) pumps are connected in parallel, each pump has a flowrate of \( Q_{\text{total}}/n \) and the same head (\( H_s \)). When \( n \) pumps are connected in series, each pump has the same flowrate and a pump head of \( H_s/n \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F02152486-4b3e-4971-933f-7bbbd61f61b8%2F4cf09164-7650-4848-bae8-90dcedb8e818%2F5jxagt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 3.**
The head loss (ft) in a piping system is represented by the equation:
\[ H_s = 50 + 6.0\left(\frac{Q}{100}\right)^2 + H_v \]
The pump to be used has a characteristic curve provided by the manufacturer:
\[ H_p = 68 - 0.5\left(\frac{Q}{100}\right) - 4.5\left(\frac{Q}{100}\right)^2 \]
Flowrate is in gallons per minute (gpm).
**(a)** Find the flowrate and pump head if two pumps are used in parallel with the valve wide open (\( H_v = 0 \)) and with 5 ft of valve head loss.
**(b)** Find the flowrate and pump head if two pumps are used in series with the valve wide open (\( H_v = 0 \)) and with 5 ft of valve head loss.
**(c)** If a single pump is used with a variable speed motor and no control valve, what impeller speed is required to achieve a flowrate of 80 gpm? Where possible, provide plots indicating where the operating point is.
**Note:** When \( n \) pumps are connected in parallel, each pump has a flowrate of \( Q_{\text{total}}/n \) and the same head (\( H_s \)). When \( n \) pumps are connected in series, each pump has the same flowrate and a pump head of \( H_s/n \).
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