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1. The Darcy-Weisbach Equation for specific energy loss hi due to friction between the moving fluid in a pipe is: L Vavg 2 where f is the friction factor (a dimensionless number), L is the pipe length (m), D is the pipe diameter (m), and Vavg! is the average fluid velocity (m/s). a. Prove that he has units of length²/time²; then show that those units are equivalent to energy/mass. hi = f D b. Using Excel, calculate Vavg for a fluid flow rate of 0.04 m³/s and a pipe diameter of 10 cm. Hint: To solve this, you should NOT use the Darcy-Weisbach equation. d. c. Using Excel, calculate h for the values given in part b, friction factor of 0.02, and pipe length of 3 m. Using Excel, create a nice figure of h, versus flow rate (from 0.01 to 1 m³/s) using the pipe diameter, friction factor, and pipe length values from parts b and c.

1. The Darcy-Weisbach Equation for specific energy loss hi due to friction between the moving fluid in a pipe is: L Vavg 2 where f is the friction factor (a dimensionless number), L is the pipe length (m), D is the pipe diameter (m), and Vavg! is the average fluid velocity (m/s). a. Prove that he has units of length²/time²; then show that those units are equivalent to energy/mass. hi = f D b. Using Excel, calculate Vavg for a fluid flow rate of 0.04 m³/s and a pipe diameter of 10 cm. Hint: To solve this, you should NOT use the Darcy-Weisbach equation. d. c. Using Excel, calculate h for the values given in part b, friction factor of 0.02, and pipe length of 3 m. Using Excel, create a nice figure of h, versus flow rate (from 0.01 to 1 m³/s) using the pipe diameter, friction factor, and pipe length values from parts b and c.

Introduction to Chemical Engineering Thermodynamics
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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1. The Darcy-Weisbach Equation for specific energy loss hɩ due to friction between the moving fluid in a pipe is: L Vavg hi= f = D 2 where f is the friction factor (a dimensionless number), L is the pipe length (m), D is the pipe diameter (m), and V is the average fluid velocity (m/s). avg a. Prove that he has units of length²/time²; then show that those units are equivalent to energy/mass. b. Using Excel, calculate Vavg for a fluid flow rate of 0.04 m³/s and a pipe diameter of 10 cm. Hint: To solve this, you should NOT use the Darcy-Weisbach equation. d. c. Using Excel, calculate h₂ for the values given in part b, friction factor of 0.02, and pipe length of 3 m. Using Excel, create a nice figure of h versus flow rate (from 0.01 to 1 m³/s) using the pipe diameter, friction factor, and pipe length values from parts b and c.
Transcribed Image Text:1. The Darcy-Weisbach Equation for specific energy loss hɩ due to friction between the moving fluid in a pipe is: L Vavg hi= f = D 2 where f is the friction factor (a dimensionless number), L is the pipe length (m), D is the pipe diameter (m), and V is the average fluid velocity (m/s). avg a. Prove that he has units of length²/time²; then show that those units are equivalent to energy/mass. b. Using Excel, calculate Vavg for a fluid flow rate of 0.04 m³/s and a pipe diameter of 10 cm. Hint: To solve this, you should NOT use the Darcy-Weisbach equation. d. c. Using Excel, calculate h₂ for the values given in part b, friction factor of 0.02, and pipe length of 3 m. Using Excel, create a nice figure of h versus flow rate (from 0.01 to 1 m³/s) using the pipe diameter, friction factor, and pipe length values from parts b and c.
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