When and why do we use Reynolds transport theorem?

[bluepleiadez]

Can anyone explain to me reynolds transport theorem in the simplest way possible? for eg, under what circumstances is it used...etc

 

[Andy Resnick]

The Reynolds Transport Theorem forms the basis for much of continuum mechanics- it equates the total change in amount of 'stuff' (mass, momentum, energy) within a control volume to the sources and sinks within the volume and the amount of flux into and out of the volume. Additionally, the control volume itself may change size and shape.

http://www.eos.ubc.ca/~ehearn/EOSC_453/Reynolds_Transport.pdf
http://www.eng.fsu.edu/~dommelen/courses/flm/rey_tran/index.html
http://by.genie.uottawa.ca/~mcg3335/AdditonalNotes/ReynoldsTrTheorem.pdf
http://www.catea.gatech.edu/grade/mecheng/mod6/mod6.html