Fluid Mechanics Lesson 09B: Piping Networks
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- Опубликовано: 25 авг 2024
- Fluid Mechanics Lesson Series - Lesson 09B: Piping Networks
In this 12-minute video, Professor Cimbala discusses how to analyze pipe flows in series and in parallel. He also discusses flow through complex piping networks. He shows a "trick" for how to choose multiple control volumes so that enough equations can be generated to solve the problem. As always, he does some example problems.
This video incorporates material from Section 8-7 of the Fluid Mechanics textbook by Cengel and Cimbala.
An Excel file listing of all the videos in this series can be found at
www.me.psu.edu... .
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Dr. John M. Cimbala is Professor of Mechanical Engineering at Penn State. He is an educator, textbook author, Christian author, husband, father, and grandfather. He also created and maintains a website for helping people grow in their faith called Christian Faith Grower at www.christianf... His RUclips channel is at / @johncimbala
Great teaching techniques sir.
Hope you will upload maximum lectures.
U hit directly on the point we need to analyze and is very useful for solving numerical. Became your fan .
Love from Nepal
Thank you much. In the video description you will see a link to an Excel file that has links to all the videos in this series, plus some short more humorous ones. I update this file regularly as I create new lessons. Please share with your colleagues and friends - anyone who teaches or is learning fluid mechanics.
What software do you recommend for these calculations? I love your book so much. Thank you
Most of my students use MATLAB. Some use Excel, and others use EES. I use all of these, sometimes repeating the same calculations in two different software packages to decrease the likelihood of error.
Thank you for your kind comment. Please tell your friends and colleagues about my RUclips channel where there are more than 480 free videos about the Bible, fluid mechanics, science, math, Excel, statistics, air pollution, and other topics. I would greatly appreciate it.
Thank you sir@@johncimbala
Good day, I just wanted to ask if the tee branch is flowing to different pipe size, from 24" pipe into 12" pipe.
Currently I have the mass flowrate (800m3/hr) and pressure (6 bar) of the 24", so how do I calculate the pressure at the junction flowing into 12" pipe. For flowrate I think I can use a portable flowmeter, but for pressure I don't know which equation to use...
Use the analysis method I provide in the video. It does not matter what the pipe diameters are, we solve it the same way (results vary with variation in any parameter such as diameter, length, roughness, etc. of course). The pressure at the junction is determined by simultaneously solving for all the branches in the flow as I explain in this and in the next lesson.
Thank you for your comment. Please tell your friends and colleagues about my RUclips channel where there are more than 460 free videos about the Bible, fluid mechanics, science, math, statistics, Excel, air pollution, and other topics. I would greatly appreciate it.
Dear Mr. Cimbala, what is the alpha notation that you use in the energy equation, multiplying the velocity term? The energy equation includes alpha1, alpha2 and alpha3 which I don't underatand.
It is the kinetic energy correction factor. Watch my Lesson 05C to learn more.
ruclips.net/video/kb9f32XqbUc/видео.html
Actually, Pressure drop must be equal through the branches. Otherwise pressure at the junction will have 2 values which is impossible. Also we assume steady state system that means no back flows can occur, which is the case if back pressures are not equal. Finally we adjust flow by this logic in our factory with a control valve. I advise you check that part sir
Of course the pressure must be the same at the junction. But the flow downstream of the junction after it splits will adjust the flow rates such that both outlet pressures are achieved. It is not necessary for the two outlet pressures to be the same - the flow will adjust to whatever those two pressures are. If both segments exit into the same atmospheric pressure, then the pressure drop will indeed be the same through both branches, as you say. But I am saying that it is not necessary for the two outlet pressures to be the same and hence the two pressure drops could be different.
@@johncimbala So you mean, total back pressures from the exit to the junction point are the same for each branch but their pressure loss will not be equal if their exit pressures are not equal?
@@johncimbalacan we apply bernoulli's equation for branch flows, between the main pipe and exit of branch 1 & main pipe and exit of branch 2 ? You used Bernoulli's equation for the example you explained in the video, so I presume that Bernoulli's equation is applicable for these kind of situations with some assumptions right ?
I meant between main pipe (1) and branch 2 & main pipe (1) and branch 3
@@doganhamsioglu1545 Bernoulli's equation is NOT valid for pipe flows ever. There are irreversible head losses that must be accounted for. You CAN use the head form of the energy equation, which is what I use for these kinds of problems. Yes, you can use the energy equation all the way through the pipe in either branch. That is why I made the different colors. Pretend one portion of the flow is one color and the other portion is the other color and that they don't mix. That's not what happens in real life, but it is useful to understand what is going on.