00071 m 3 s q 2 0 2087 2 16907 00062 m 3 s 3rd

Info icon This preview shows pages 36–44. Sign up to view the full content.

View Full Document Right Arrow Icon
* . = 0.0071 m 3 /s Q 2 = 0 2087 2 16907 . * . = 0.0062 m 3 /s 3rd Iteration Pipe k i Q i ± h i Abs(h i /Q i ) AB 5 0.238 0.2820 1.19 BE 3 0.131 0.0517 0.39 DE 5 -0.163 -0.1320 0.81 AD 3 -0.263 -0.2067 0.79 -0.00498 3.181479 BC 5 0.106 0.056364 0.530868 CF 3 0.106 0.033818 0.318521 EF 5 -0.094 -0.04402 0.469132 BE 3 -0.131 -0.05174 0.393979 -0.00557 1.7125 Q 1 = 0 498 2 31815 . * . = 0.00078 m 3 /s Q 2 = 0 0557 2 17125 . * . = 0.00163 m 3 /s
Image of page 36

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-37 4th Iteration Pipe k i Q i ± h i Abs(h i /Q i ) AB 5 0.238 0.2839 1.19 BE 3 0.130 0.0511 0.39 DE 5 -0.162 -0.1308 0.81 AD 3 -0.262 -0.2055 0.79 -0.00128 3.176597 BC 5 0.108 0.058105 0.539005 CF 3 0.108 0.034863 0.323403 EF 5 -0.092 -0.0425 0.460995 BE 3 -0.130 -0.05108 0.391444 -0.00061 1.714847 Q 1 = 0 0128 2 31766 . * . = 0.00020 m 3 /s Q 2 = 0 0061 2 17148 . * . = 0.00018 m 3 /s 5th Iteration Pipe k i Q i ± h i Abs(h i /Q i ) AB 5 0.238 0.2844 1.19 BE 3 0.131 0.0511 0.39 DE 5 -0.162 -0.1304 0.81 AD 3 -0.262 -0.2052 0.78 -0.00014 3.176062 BC 5 0.108 0.058298 0.539896 CF 3 0.108 0.034979 0.323938 EF 5 -0.092 -0.04234 0.460104 BE 3 -0.131 -0.05109 0.391515 -0.00016 1.715453 Q 1 = 0 00014 2 31761 . * . = 2.2*10 -5 m 3 /s Q 2 = 0 00016 2 17155 . * . = 4.6*10 -5 m 3 /s Therefore OK
Image of page 37
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-38 Therefore, the flow rates after five iterations will be given by A B C D E F 0.5m /s 3 0.1 0.2 0.2 m /s 3 m /s 3 m /s 3 0.238 0.108 0.162 0.092 0.108 0.262 0.131 m /s 3 m /s 3 m /s 3 m /s 3 m /s 3 m /s 3 m /s 3
Image of page 38

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-39 Class Exercise 7.1: A steady push on the piston causes a flow rate of 0.4 cm 3 /s through the needle. The fluid has S.G. = 0.9 and µ = 0.002 Ns/m 2 . Determine the head loss at the needle and hence the force F required to maintain the flow. Neglect the head loss in the piston only. (F = 0.012 kN) D=1cm D=0.25mm 3cm 1.5cm Q F
Image of page 39
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-40 Class Exercise 7.2: Oil, with density = 900 kg/m 3 and ν = 1*10 -5 m 2 /s, flows at 0.2 m 3 /s through a 20-cm diameter pipe 500 m long cast-iron pipe. The roughness of iron is 0.26 mm. Determine the head loss in the pipe. (h f = 117 m)
Image of page 40

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-41 Class Exercise 7.3: Water flows at a velocity of 1 m/s in a 150 mm new ductile iron pipe. Estimate the head loss over 500 m using Darcy-Weisbach equation. ( ε = 0.26 mm and µ = 10 -3 Ns/m 2 ). (h f = 4.04 m)
Image of page 41
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-42 Class Exercise 7.4: The distance between two sections A and B of a 300 mm diameter pipe is 300 m. The elevations of A and B are 90 m and 75 m and the pressures are 280 kPa and 350 kPa respectively. Find the direction of flow of water and calculate the head loss due to friction and the value of the friction factor for the pipe if the flow is 142 L/s. (A to B, h = 7.87 m, f = 0.0386)
Image of page 42

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-43 Class Exercise 7.5: Three pipes A, B & C are interconnected and discharge water from a reservoir as shown below. With the provided pipe characteristics, determine the flow rate in each pipe. Neglect all the minor loss. Pipe Diameter, mm Length, m f A 150 600 0.02 B 100 500 0.032 C 200 1250 0.024 (Q A = 0.0752 m 3 /s, Q B = 0.0236 m 3 /s, Q c = 0.0988 m 3 /s)
Image of page 43
Fluid Mechanics Chapter 7 – Steady Flow in Pipes P.7-44 Tutorial: Steady Pipe Flow 1. Glycerine of viscosity 0.9 Ns/m 2 and density 1260 kg/m 3 is pumped along a horizontal pipe 6.5 m long of diameter d = 0.01 m at a flow rate of Q = 1.8 L/min. Determine the flow Reynolds number and verify whether the flow is laminar or turbulent. Calculate the pressure loss in the pipe due to frictional effects.
Image of page 44
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern