Derivation of the Energy Equation

📈 APEX Consulting: https://theapexconsulting.com 🌎 Website: http://jousefmurad.com 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! ► Part 1 - Derivation of the Mass Conservation Equation: https://www.youtube.com/watch?v=v9Y_O74_fV0 ► Part 2 - Derivation of the Navier-Stokes Equations: https://www.youtube.com/watch?v=zWdnf3Uh1RE ► PDF of the presentation: https://www.patreon.com/posts/34369776 ONLINE PRESENCE ================ 🌍 My website - http://jousefmurad.com/ 💌 My weekly science newsletter - https://jousef.substack.com/ 📸 Instagram - https://www.instagram.com/jousefmrd/ 🐦 Twitter - https://twitter.com/Jousefm2 SUPPORT MY WORK ================= 👕 Science Merch: https://engineered-mind.creator-spring.com/ 👉 Become my Patreon: https://www.patreon.com/theengiineer 🧠 Subscribe for more free videos: https://bit.ly/2RLmMxq RECOMMENDATIONS ================== 🎥 1 Month Free of Skillshare Premium: https://bit.ly/3E3bXwC 📕 Books on AI, Data Science & Programming: https://bit.ly/2I1lUD1 - use "podengineered20" to get a 40% discount! 🎵 Joachim Heinrich - Words –––––––––––––––––––––––––––––– As a member of SimScale, some pictures in this video have been used from the SimScale platform. SimScale is the world’s first production-ready SaaS application for engineering simulation, completely cloud-based and easily accessible through a web browser. Try CFD and FEA now by creating a free Community account in minutes: https://bit.ly/316Aqgt Contact: If you need help or have any questions or want to collaborate feel free to reach out to me via email: support@jousefmurad.com #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

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