The Lutsen ski resort located on the north shore of Lake Superior at Lutsen will have...
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The Lutsen ski resort located on the north shore of Lake Superior at Lutsen will have a new supply of water for its snowmaking operations in the next year or so. In the new system water will be pumped from Lake Superior up to a system of distribution lines that branch out from a location 170 meters above the elevation of Lake Superior. The pipeline length is 3.2 km and has an inside diameter of 0.35 m. At the point of the distribution lines at the top of hills (point D) the water pressure needs to be 1.24 x 10° N/m². The pumping rate from Lake Superior is to be 565,000 m' for the snow season, which begins November 15 and ends March 1. During that period the pumping is planned for 12 hours a day for 60 of the days. a. (1 point) Write the Darcy-Weisbach equation for pressure drop Ap in the pipeline. b. (1 point) Determine the mean flow rate (m³/sec) in the pipeline for the snow making season. c. (2 points) Determine the loss of energy (N/m?) due to friction along the pipeline (between points A and D) for the flow determined in (b). Here assume that the water pumped from Lake Superior is at a temperature of 39 F. d. (2 points) Determine the pressure loss (N/m²) between the entrance to the pipe (point A) from the lake and the entrance to the pump (point B). Determine the pressure (N/m²) at the entrance to the pump. e. (2 points). Determine the pressure difference (N/m) between points at point C and D if the pipe were to be full of water but there is no flow occurring. f. (3 points) Determine how much pressure needs to be added to the water by the pump to be able to have the pressure at point D be at the required distribution pressure of 1.24 x 10 N/m. g. (2 points) Determine the power required of the pump to meet the flow and pressure requirements of the system. The Lutsen ski resort located on the north shore of Lake Superior at Lutsen will have a new supply of water for its snowmaking operations in the next year or so. In the new system water will be pumped from Lake Superior up to a system of distribution lines that branch out from a location 170 meters above the elevation of Lake Superior. The pipeline length is 3.2 km and has an inside diameter of 0.35 m. At the point of the distribution lines at the top of hills (point D) the water pressure needs to be 1.24 x 10° N/m². The pumping rate from Lake Superior is to be 565,000 m' for the snow season, which begins November 15 and ends March 1. During that period the pumping is planned for 12 hours a day for 60 of the days. a. (1 point) Write the Darcy-Weisbach equation for pressure drop Ap in the pipeline. b. (1 point) Determine the mean flow rate (m³/sec) in the pipeline for the snow making season. c. (2 points) Determine the loss of energy (N/m?) due to friction along the pipeline (between points A and D) for the flow determined in (b). Here assume that the water pumped from Lake Superior is at a temperature of 39 F. d. (2 points) Determine the pressure loss (N/m²) between the entrance to the pipe (point A) from the lake and the entrance to the pump (point B). Determine the pressure (N/m²) at the entrance to the pump. e. (2 points). Determine the pressure difference (N/m) between points at point C and D if the pipe were to be full of water but there is no flow occurring. f. (3 points) Determine how much pressure needs to be added to the water by the pump to be able to have the pressure at point D be at the required distribution pressure of 1.24 x 10 N/m. g. (2 points) Determine the power required of the pump to meet the flow and pressure requirements of the system.
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Related Book For
Chemistry The Central Science
ISBN: 978-0321696724
12th edition
Authors: Theodore Brown, Eugene LeMay, Bruce Bursten, Catherine Murphy, Patrick Woodward
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