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HW4-Solution

# HW4-Solution - CWR 4202 — Hydraulics Fall 201 1 mm...

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Unformatted text preview: CWR 4202 — Hydraulics Fall 201 1 mm Homework # 04 (Due Thursday, October 19th, Beginning of Class) 1. A new pipe must be installed to replace an old existing one. The new pipe will be 35 meter long and have be the same diameter as the old pipe or 200 mm. The new pipe is cast iron and has a roughness of 0.00024 meters. The old pipe had a sand roughness of 0.005 meters. The allowable headloss over the length of the pipe is 0.75 meters. Perform the following tasks: Determine the discharge capacity of the new pipe Show proof of that the correct ﬂ0w range was used for the new pipe calculations What is the discharge in the old pipe What are the characteristic P values of the old and new pipe 9.0 9‘9 Using the information provided in problem (1), install a gate valve in the new pipe. Assume the local loss coefﬁcient for the gate valve is 0.15 and perform the following task: Calculate the ‘Characteristic P’ value for the pipe and determine the discharge capacity of the pipe Show proof that the correct ﬂow range was used for the new pipe calculations Determine the slope of the energy grade line Determine the energy losses associated with the gate valve 999‘!” Assume Manning’s equation applies and determine the discharge capacity of a 250 m galvanized iron pipe having a 120 mm diameter and a sand roughness of 0.0020 m. The available change in head to drive ﬂow is 2.5 m and the temperature of the water is 14°C. The total head loss is the sum of frictional losses and local losses, thus: AH = AH f + AH, Assuming the ﬂow is smooth turbulent and the Hazen-Williams power equation applies, give the equations for AH/and AH, assuming you know the ﬂow Q, the cross sectional area A of the circular pipe, and the length of the pipe, L. Write your answer in terms of Q, A, and L. Assuming AH is known derive an iterative equation for diameter d where we expect frictional losses to dominate. An iron pipe must be sized to carry water from a reservoir of ﬁxed surface water elevation to a fruit processing plant that is 700 m away. The water level in the reservoir is 25 meters and gravity will carry the water through the pipe and to the plant situated at an elevation of 23 meters. Assume the design ﬂow is 0.50 m3/s. The elemental roughness (sand roughness) of the pipe is 0.00020 m and that the water is 15°C. Assume an inlet loss coefﬁcient of KL = 0.5, a valve loss coefﬁcient of KL = 2.0, and a pipe outlet loss of KL = 1.0. Determine the following: a) pipe diameter (m) b) mean ﬂow velocity c) show that the correct ﬂow range was used in the calculations d) slope of the energy grade line 6) characteristics P value 2: “73-33” 'HWMMW‘F— IVA/MW PM (Q L: a“! ‘14 0L: 0.2. 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HW4-Solution - CWR 4202 — Hydraulics Fall 201 1 mm...

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