Derivation of the Energy Equation

In this video, we will derive the Energy Equation by having a look at a simple Control Volume (CV). This equation is needed when solving compressible fluid flows and solving the Navier-Stokes Equations. Comment, Like & Subscribe!

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🎵 Joachim Heinrich - Words

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#NavierStokes
#EnergyEquation
#Physics

Time Stamps
----------------------
0:00 - 0:30 : Intro
0:31 - 1:45 : Recap from the last videos
1:46 - 2:27 : Derivation of the Energy Equation (Intro)
2:28 - 4:00 : Compressible vs. Incompressible
4:01 - 4:51 : What does "Compressible" mean?
4:52 - 5:40 : Mach Number
5:41 - 7:22 : Change of Energy inside of the Control Volume (CV)
7:23 - 7:35 : Recap Mass Conservation
7:36 - 7:50 : Balance for the Energy Equations
7:51 - 8:50 : Change of Internal & Kinetic Energy
8:51 - 9:44 : Energy Transport - Heat Transfer
9:45 - 10:35 : Work per Time Balance
10:36 - 12:50 : Assembling the Equations - Simplification - Stokes Hypothesis & Dissipation Function
12:51 - 13:42: Perfect Gas Ansatz & Equation
13:43 - 14:57: External Aerodynamics
14:58 - 16:29 : Torque Converter
16:30 - 16:56 : Compressible Flow Around an Airfoil
16:57 - End : Outro

[JousefM]

Thanks for watching! Make sure to like & comment :)

Time Stamps

0:00 - 0:30 : Intro
0:31 - 1:45 : Recap from the last videos
1:46 - 2:27 : Derivation of the Energy Equation (Intro)
2:28 - 4:00 : Compressible vs. Incompressible
4:01 - 4:51 : What does "Compressible" mean?
4:52 - 5:40 : Mach Number
5:41 - 7:22 : Change of Energy inside of the Control Volume (CV)
7:23 - 7:35 : Recap Mass Conservation
7:36 - 7:50 : Balance for the Energy Equations
7:51 - 8:50 : Change of Internal & Kinetic Energy
8:51 - 9:44 : Energy Transport - Heat Transfer
9:45 - 10:35 : Work per Time Balance
10:36 - 12:50 : Assembling the Equations - Simplification - Stokes Hypothesis & Dissipation Function
12:51 - 13:42: Perfect Gas Ansatz & Equation
13:43 - 14:57: External Aerodynamics
14:58 - 16:29 : Torque Converter
16:30 - 16:56 : Compressible Flow Around an Airfoil
16:57 - End : Outro

[mesharyRD]

I just saw that you uploaded a video and I'm about to sleep. I just give you a like and will see the video tomorrow. Keep up that good work 👍👍

[ahmetyilmaz]

This video really helped me out for understanding the derivation of thermal energy equation, thank you very much. It was such a clear explanation. Thank you for sharing. Keep up the good work.

[marcosfilho]

Thank you! Could you do a video on the turbulence topic?

[shivanandsinghPCEME]

Step wise step clear the concept Thank you ☺️

[emelvkurian]

Thank you for your videos. Can you help me out to know what all parameters should I consider, what all equations have to be used, and how to solve them for a gas changing phase to a solid(deposition)?
I wouldn't request you to make a video on it. If it has piqued your interest you may create one and I will be happy about it.

[tahersphysicstutoring]

amazing video keep it up greeting from egypt

[tannerragan]

Great video and super helpful! Thank you so much!

[phenomenal]

which is the video about descritization ?

[lila]

Thanks for the videos, they r very helpful. Can you make a video explaining how to turn differenctial equation (NS) to a linear system equation plz

[JamesVestal-dzqm]

Undergrads need support from the experts using calculators. I write the ideas in pen and figure out how to use the calculator as homework.

[JamesVestal-dzqm]

I have a calculator and I use it a few times per week.

[GG-vwet]

I think you missing something at work per time balance, the surface area of the stress component at min 09:57

[saadalzubedy]

Hello doctor, I need your help to solve this question (Using scale analysis, obtain the energy conservation equation for a laminar, viscous, and
incompressible external flow on a flat plate and under steady-state conditions) ( heat transfer convection ) thanks for your help

[MrDuonghuong]

Could you do a video on the turbulence topic please? i have waited for long time:))

[JamesVestal-dzqm]

I don't bring a calculator to class because ideas I can write on paper are more important. Calculators are a homework exercise.

[feedyourhead]

Why does the energy in the CV only include internal energy and kinetic energy, but you left out potential energy? @5:50

[thuzaraung]

could you do a video on turbulence topic? thank you!

[heeyoon]

Thank you very much for your lecture. By the way, I cannot understand in terms of work balance 10:04, why do you use write down P and normal stress term? I mean isn't it the same? could you give me some kinds of details why you use pressure term and normal sress term?

[kaanakkas]

at 9:40 and 10:00, at the end of the equations there are additional minus(-) and plus (+).Are these typos? Thank you for the video btw. U have clear expression and this video didn't confuse me contrary other videos about this topic.