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Fluid Mechanics 5.6 - Solved Example Problem for Conservation of Mass - Unsteady Water Tank 

College Fluid Mechanics
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This segment analyzes a real-life application of an unsteady water tank with an inlet and outlet with different flow rates. As a result, the water level in the tank is changing. We do find the velocity of the water level increase with two separate control volume selections.
Module 5-- Finite Control Volume Analysis - Conservation of Mass
Conservation of mass is obtained by substituting B=mass and b=1 into the Reynold's Transport Theorem. The time rate of change of the mass of the coincident system = time rate of change of the mass of the contents of the coincident control volume + net rate of flow of mass through the control surface.
Student Learning Outcomes:
After completing this module, you should be able to:
1) Select an appropriate finite control volume to solve a fluid mechanics problem.
2) Analyze whether the case is steady vs. unsteady, constant density vs. variable density, incompressible vs. compressible, uniform flow vs. non-uniform flow
3) Apply conservation of mass principle to the contents of a finite control volume to get important answers This material is based upon work supported by the National Science Foundation under Grant No. 2019664. Any opinions, findings, and conclusions, or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

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28 апр 2020

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Комментарии : 13   
@ozgurklnc6539
@ozgurklnc6539 3 года назад
As a METU student like you were, i can not thank you enough for your videos. They are helping me so much. Wish you a great and healthy day sir.
@CollegeFluidMechanics
@CollegeFluidMechanics 3 года назад
Ozgur: Kind of you to share your feedback. Remember I was sitting at the same desks as you are sitting at..It has been a while but still... Take care
@sketty1011
@sketty1011 3 года назад
To clarify too, in 12:00 , I’m still confused why section 3 is also an exit. Is it because the water is still moving so technically it is leaving the control volume?
@CollegeFluidMechanics
@CollegeFluidMechanics 3 года назад
You got it! Yes, as the water level is changing, section 3 is leaving the stationary control volume we selected.
@Horizon__
@Horizon__ 3 года назад
Great Video!
@CollegeFluidMechanics
@CollegeFluidMechanics 3 года назад
Thank you for taking time to respond. I am glad to hear that the resources are benefiting you. Stay well.
@sketty1011
@sketty1011 3 года назад
Sir I’m confused why the h is negligible in 11:00? Why did you change d/dt to dh/dt
@sketty1011
@sketty1011 3 года назад
10:35 *
@CollegeFluidMechanics
@CollegeFluidMechanics 3 года назад
Hello Valerie, very good question. I am not neglecting h, the first term is h and the second term is -2.5e-3h (which is h/400). What I am stating is if I subtract h/400 from h; I simply get a number very close to 1*h, so I rounded it to 1*h, the accurate number 0.9975h, which is very close to 1*h. Hope this helps
@abooddandashi8873
@abooddandashi8873 4 года назад
Can you help with this Q Is the liquid level in the tank rising or falling? And how fast is it rising or falling?
@abooddandashi8873
@abooddandashi8873 4 года назад
D1=0.05m V1=1.5m/s D2=0.08m V2=1m/s
@CollegeFluidMechanics
@CollegeFluidMechanics 4 года назад
Hi Abood, I am not going to answer your question directly, but go over the approach for you to learn. Calculate the inlet and exit flow rates. If Inlet Q>OutletQ; level is increasing; if inlet Q=outletQ, steady, outletQ>inletQ, level decreasing...
@abooddandashi8873
@abooddandashi8873 4 года назад
@@CollegeFluidMechanics thank you
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