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CIEG 305 REYNOLDS TRANSPORT THEOREM

CIEG 305 REYNOLDS TRANSPORT THEOREM. Time = t. b. a. 1. 2. 3. Time = t+dt. Control Volume. b. a. 1. 2. 3. dV in =A a V a dt. dV out =A b V b dt. Think of the system as fluid parcels. Denote B as any property of interest (mass, momentum, energy). Let.

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CIEG 305 REYNOLDS TRANSPORT THEOREM

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  1. CIEG 305 REYNOLDS TRANSPORT THEOREM Time = t b a 1 2 3 Time = t+dt Control Volume b a 1 2 3 dVin=AaVadt dVout=AbVbdt

  2. Think of the system as fluid parcels. Denote B as any property of interest (mass, momentum, energy). Let The amount of B per unit mass (called the intensive value) Total B in control volume is thus Need to relate rate of change of BcV to rate of change of B in system 2 that coincides with the control volume at t

  3. Whats there now What came out What went in What was there Rate of change of B in system 2 the instant it occupies control volume

  4. THUS Rate of change of B in CV Flux of B passing out of CV Flux of B passing into CV If steady state conditions, then the first term on RHS drops out. Normally the case for our problems.

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