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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. Erample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily polluted 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 purnped 50 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 ft/s. Estimate the required pipe diameter. The flow rate required is AH 4083 mi? · 2000 ft (5280 f/mi)² Q = At 2.63 10° ft3 %3D %3D 24 h 3600 s/h = 7.46 107 and the required pipe diameter is 4Q D = 4 2.63 10° ft/s V = 9158 ft = 2791 m %3D T. 40 ft/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 electrical 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.

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. Erample 1.1. The area of the Los Angeles basin is 4083 square miles. The heavily polluted 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 purnped 50 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 ft/s. Estimate the required pipe diameter. The flow rate required is AH 4083 mi? · 2000 ft (5280 f/mi)² Q = At 2.63 10° ft3 %3D %3D 24 h 3600 s/h = 7.46 107 and the required pipe diameter is 4Q D = 4 2.63 10° ft/s V = 9158 ft = 2791 m %3D T. 40 ft/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 electrical 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.

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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Subject: Air Pollution Formation and Control

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Correct answer (a) 0.023 psi  ;  (b) 12,000 MW

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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 nolluted 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 50 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 ft/s. Estimate the required pipe diameter. The flow rate required is АН 4083 mi? · 2000 ft (5280 ft/mi)? ft3 At 2.63 · 10° %3D 24 h 3600 s/h 3 m = 7.46 · 107 and the required pipe diameter is 4Q 4 2.63 10° ft/s D = = 9158 ft = 2791 m JI 40 ft/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 electrical 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 nolluted 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 50 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 ft/s. Estimate the required pipe diameter. The flow rate required is АН 4083 mi? · 2000 ft (5280 ft/mi)? ft3 At 2.63 · 10° %3D 24 h 3600 s/h 3 m = 7.46 · 107 and the required pipe diameter is 4Q 4 2.63 10° ft/s D = = 9158 ft = 2791 m JI 40 ft/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 electrical 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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