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C If after many years of operation at Re = 105, the pipe's inner surface becomes rough with an average roughness height = = 0.2 mm, calculate the resulting pressure drop between the inlet and outlet. Evaluate f from either the Colebrook-White equation or from its approximate, explicit, alternative. d Calculate the pump head that would be required if the same pipe is to be used under the same conditions as in item (3) above in order to convey oil from an open reservoir to another open reservoir where the free-surface level is 10 m higher. In this application, a number of items are present that cause minor losses to occur. The K values for these items are: 1.0, 0.6, 0.8, 1.2, 2.5.

C If after many years of operation at Re = 105, the pipe's inner surface becomes rough with an average roughness height = = 0.2 mm, calculate the resulting pressure drop between the inlet and outlet. Evaluate f from either the Colebrook-White equation or from its approximate, explicit, alternative. d Calculate the pump head that would be required if the same pipe is to be used under the same conditions as in item (3) above in order to convey oil from an open reservoir to another open reservoir where the free-surface level is 10 m higher. In this application, a number of items are present that cause minor losses to occur. The K values for these items are: 1.0, 0.6, 0.8, 1.2, 2.5.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question C and D only 

Oil (p = 888 kg/m³, µ = 0.8 kg/m.s) is to be transported in a smooth pipe having diameter D = 5 cm and length L = 40 m. If the pressure at inlet was P₁ = 745 kN/m², and at exit was P₂ = 97 kN/m², calculate the flow rate Q if: i. The pipe was horizontal ii. The pipe was inclined upwards by 15° iii. The pipe was inclined downwards by 15° You may assume that the flow in all three cases was laminar. Confirm, by calculating the resulting Reynolds number, that this assumption is valid for each of the three cases. b If the flow rate in the horizontal pipe is increased such that Reynolds number Re = 105, calculate the pressure drop that would occur between the pipe's inlet and outlet. Evaluate f from the Blasius equation. C If after many years of operation at Re = 105, the pipe's inner surface becomes rough with an average roughness height = = 0.2 mm, calculate the resulting pressure drop between the inlet and outlet. Evaluate f from either the Colebrook-White equation or from its approximate, explicit, alternative. d Calculate the pump head that would be required if the same pipe is to be used under the same conditions as in item (3) above in order to convey oil from an open reservoir to another open reservoir where the free-surface level is 10 m higher. In this application, a number of items are present that cause minor losses to occur. The K values for these items are: 1.0, 0.6, 0.8, 1.2, 2.5.
Transcribed Image Text:Oil (p = 888 kg/m³, µ = 0.8 kg/m.s) is to be transported in a smooth pipe having diameter D = 5 cm and length L = 40 m. If the pressure at inlet was P₁ = 745 kN/m², and at exit was P₂ = 97 kN/m², calculate the flow rate Q if: i. The pipe was horizontal ii. The pipe was inclined upwards by 15° iii. The pipe was inclined downwards by 15° You may assume that the flow in all three cases was laminar. Confirm, by calculating the resulting Reynolds number, that this assumption is valid for each of the three cases. b If the flow rate in the horizontal pipe is increased such that Reynolds number Re = 105, calculate the pressure drop that would occur between the pipe's inlet and outlet. Evaluate f from the Blasius equation. C If after many years of operation at Re = 105, the pipe's inner surface becomes rough with an average roughness height = = 0.2 mm, calculate the resulting pressure drop between the inlet and outlet. Evaluate f from either the Colebrook-White equation or from its approximate, explicit, alternative. d Calculate the pump head that would be required if the same pipe is to be used under the same conditions as in item (3) above in order to convey oil from an open reservoir to another open reservoir where the free-surface level is 10 m higher. In this application, a number of items are present that cause minor losses to occur. The K values for these items are: 1.0, 0.6, 0.8, 1.2, 2.5.
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