Force on a Pipe Bend - Fluid Momentum Example Problem

Fluid Mechanics, Linear Momentum Example Problem with a stationary control volume, with step by step walkthrough for how to find the force on a pipe bend due to fluid entering or leaving the control volume.
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To find the force on a pipe elbow, you could use the Reynold's Transport Theorem version of the Conservation of Linear Momentum, or my recommendation, you can more simply apply free body diagrams and kinetic diagrams to solve this fluid momentum problem operating at steady state.
Most important takeaways I hope you learn are the sign convention for fluid entering or leaving the control volume, based on the dot product, and also after you draw the control volume, not to forget to apply gage pressure at each inlet or outlet as a force acting on the CV at that location.
TIMECODES
0:00 Reynold's Transport Theorem
0:46 Draw the Control Volume
1:26 Draw the Free Body Diagram and Kinetic Diagram
4:18 Equilibrium Equations
4:45 Sign Convention
8:40 Find Mass Flow Rate
9:46 Plug n Chug
12:10 Final Answers

[@stevenkanguya5087]

one of the best explanation i have ever heard,thank you very much am humble 🙏

[@BrianBernardEngineering]

You are very welcome

[@bkq1]

A.M.A.Z.I.N.G video, love the enthusiasm and attention to each detail!

[@BrianBernardEngineering]

Thanks so much for saying. Your TA Indy is usually more of a "big picture" kinda kitty, but in this case of the Reynolds Transport Theorem, he's all about the details.

[@NexiOHome]

Ive been an engineer for about 3 years now, absolutely love it. Best explanation I've come across... what is your background?

[@BrianBernardEngineering]

Your TA Indiana is just a regular kitty - no formal training at all - entirely self taught. For me - I was a nuclear power officer on submarines in the us navy. That was my first job after college. Nowadays, I have a phd in mechanical engineering, and I teach at Schreiner University in Kerrville, TX. Thanks so much for watching.

[@NexiOHome]

@@BrianBernardEngineering i would love some examples of an isentropic nozzle and its relation with static air temps at different points in the nozzle. How do the temps differ? especially, being isentropic (trick question?) Also, tie in the mach number at a specific point IN the nozzle. Want to see an example??

[@adamcherry1117]

Thanks, I watched this during the exam

[@BrianBernardEngineering]

I hope your exam was open book / open internet. Otherwise you may want to keep that to yourself :P

[@adamcherry1117]

@@BrianBernardEngineering yes of course haha

[@adamcherry1117]

@@BrianBernardEngineering from CFD