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1.1.* In Example 1.1: (a) Estimate the pressure drop required. (b) Estimate the pumping power required. See any fluid mechanics textbook for methods of making these estimates. Tample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily lluted air layer is assumed to be 2000 ft thick on average. One solution to Los Angeles' problems would be to pump this contaminated air away. Suppose that we ish to pump out the Los Angeles basin every day and that the air must be pumped s0 miles to the desert near Palm Springs. (We assume the residents of Palm Springs on't complain.) Assume also that the average velocity in the pipe is 40 fus. Estimate the required pipe diameter. The flow rate required is AH 4083 mi - 2000 ft (5280 f/mi)? Q = Ar ft' %3D 24 h = 2.63 - 10° 3600 s/h = 7.46 - 10 and the required pipe diameter is 4-2.63 - 10° fts D = TV = 9158 ft = 2791 m I. 40 f/s This is about three times the height of the tallest man-made structure, and far peyond our current structural engineering capabilities. Similar calculations (Problem 1.1) show that the power required to drive the flow exceeds the amount of electrical power generated in the Los Angeles basin. We are unlikely to solve our air pollution roblems by pumping away the polluted air, although this solution is still frequently roposed. Instead, we must deal with those problems by reducing emissions, the rincipal subject of the rest of this book.

1.1.* In Example 1.1: (a) Estimate the pressure drop required. (b) Estimate the pumping power required. See any fluid mechanics textbook for methods of making these estimates. Tample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily lluted air layer is assumed to be 2000 ft thick on average. One solution to Los Angeles' problems would be to pump this contaminated air away. Suppose that we ish to pump out the Los Angeles basin every day and that the air must be pumped s0 miles to the desert near Palm Springs. (We assume the residents of Palm Springs on't complain.) Assume also that the average velocity in the pipe is 40 fus. Estimate the required pipe diameter. The flow rate required is AH 4083 mi - 2000 ft (5280 f/mi)? Q = Ar ft' %3D 24 h = 2.63 - 10° 3600 s/h = 7.46 - 10 and the required pipe diameter is 4-2.63 - 10° fts D = TV = 9158 ft = 2791 m I. 40 f/s This is about three times the height of the tallest man-made structure, and far peyond our current structural engineering capabilities. Similar calculations (Problem 1.1) show that the power required to drive the flow exceeds the amount of electrical power generated in the Los Angeles basin. We are unlikely to solve our air pollution roblems by pumping away the polluted air, although this solution is still frequently roposed. Instead, we must deal with those problems by reducing emissions, the rincipal subject of the rest of this book.

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
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1.1." In Example 1.1: (a) Estimate the pressure drop required. (b) Estimate the pumping power required. See any fluid mechanics textbook for methods of making these estimates. Evample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily nalluted air layer is assumed to be 2000 ft thick on average. One solution to Los Angeles' problems would be to pump this contaminated air away. Suppose that we wish to pump out the Los Angeles basin every day and that the air must be pumped S0 miles to the desert near Palm Springs. (We assume the residents of Palm Springs won't complain.) Assume also that the average velocity in the pipe is 40 fu/s. Estimate the required pipe diameter. The flow rate required is АН 4083 mi? 2000 ft (5280 f/mi)? Q = Δι ft' %3D 24 h = 2.63 - 10º It 3600 s/h = 7.46 - 10 and the required pipe diameter is 4- 2.63 - 10° ft/s D = = 9158 ft = 2791 m T: 40 fi/s This is about three times the height of the tallest man-made structure, and far beyond our current structural engineering capabilities. Similar calculations (Problem 1.1) show that the power required to drive the flow exceeds the amount of clectrical power generated in the Los Angeles basin. We are unlikely to solve our air pollution problems by pumping away the polluted air, although this solution is still frequently proposed. Instead, we must deal with those problems by reducing emissions, the principal subject of the rest of this book.
Transcribed Image Text:1.1." In Example 1.1: (a) Estimate the pressure drop required. (b) Estimate the pumping power required. See any fluid mechanics textbook for methods of making these estimates. Evample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily nalluted air layer is assumed to be 2000 ft thick on average. One solution to Los Angeles' problems would be to pump this contaminated air away. Suppose that we wish to pump out the Los Angeles basin every day and that the air must be pumped S0 miles to the desert near Palm Springs. (We assume the residents of Palm Springs won't complain.) Assume also that the average velocity in the pipe is 40 fu/s. Estimate the required pipe diameter. The flow rate required is АН 4083 mi? 2000 ft (5280 f/mi)? Q = Δι ft' %3D 24 h = 2.63 - 10º It 3600 s/h = 7.46 - 10 and the required pipe diameter is 4- 2.63 - 10° ft/s D = = 9158 ft = 2791 m T: 40 fi/s This is about three times the height of the tallest man-made structure, and far beyond our current structural engineering capabilities. Similar calculations (Problem 1.1) show that the power required to drive the flow exceeds the amount of clectrical power generated in the Los Angeles basin. We are unlikely to solve our air pollution problems by pumping away the polluted air, although this solution is still frequently proposed. Instead, we must deal with those problems by reducing emissions, the principal subject of the rest of this book.
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