Understanding Reynolds Transport Theorem

In fluid mechanics, it is usually more convenient to work with control volumes, but most of its principles are derived from the time rate of change of extensive properties for systems. The relationship between the time rates of change of an extensive property for a system and for a control volume is expressed by the Reynolds transport theorem (RTT).
Chapters:
0:00 System & Control Volume
1:52 Derivation of RTT
6:14 RTT for Arbitrary CV
8:21 RTT equation for fixed CV
9:41 RTT equation for non fixed CV

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I am glad you liked my explanation.

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[@amanjain1247]

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[@DivyaV-iw7wb]

sir how limit del t=0 (3:56)

[@ENGINEERINGSTREAMLINED]

Limit in a formula means that we've limited or shortened the formula to a certain extent or in a range of values. In the present video, when we say at Limit ∆t ->0 it means that we have restricted the formula to a short interval of time only. So, for a short instant of time dBsystem /dt gives instantaneous change in B of a system with time. You can check this link for more detail explanation on limits math.stackexchange.com/questions/3920654/why-is-delta-x-tending-to-be-zero-in-dy-dx-and-not-delta-y-tending-to-be-0

[@vamsikrishna-wj5zp]

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I am glad it was helpful to you

[@DivyaV-iw7wb]

sir how to substitute limit del t=0 3:56

[@ENGINEERINGSTREAMLINED]

Limit in a formula means that we've limited or shortened the formula to a certain extent or in a range of values. In the present video, when we say at Limit ∆t ->0 it means that we have restricted the formula to a short interval of time only. So, for a short instant of time dBsystem /dt gives instantaneous change in B of a system with time. You can check this link for more detail explanation on limits math.stackexchange.com/questions/3920654/why-is-delta-x-tending-to-be-zero-in-dy-dx-and-not-delta-y-tending-to-be-0

[@piyushmechanical9461]

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[@DivyaV-iw7wb]

4:50 sir, how u can write v1 del t A1

[@ENGINEERINGSTREAMLINED]

The volume of region 1 is written in terms of velocity, area and time. The unit of volume is m^3. If we write units of velocity, area and time then (m/s)*(m^2)* s = m^3.

[@divs498]

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[@felixcsgocs2]

Voice is very low

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Sorry for the voice. I record my voice with the mobile phone. So maybe sometimes voice gets low.

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[@karthikp2650]

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Which part you didn't understand?