The Reynolds transport theorem, fundamental to the control volume approach, relates the Eulerian and Lagrangian approaches of fluid flow. The Reynolds transport theorem is derived by considering the rate of change of an extensive property of a system as it passes through a control volume. Express the alternative form of the Reynolds transport theorem equation in terms of mass flow rates. A. C. dB sys dt dB sys dt = [ pbdv + [m₂bo+ [m/bi CV CS Cs Jo pbar + Σmibi - Στου Σmobo CS CS E. None of the above B. D. dB sys dt dBsys dt CV + Σmobo CS pbdv + mobo - Σmibi CS = √ pbdv + [m,b; + [ibo mibi Σ mobo CV CS

The Reynolds transport theorem, fundamental to the control volume approach, relates the Eulerian and Lagrangian approaches of fluid flow. The Reynolds transport theorem is derived by considering the rate of change of an extensive property of a system as it passes through a control volume. Express the alternative form of the Reynolds transport theorem equation in terms of mass flow rates. A. C. dB sys dt dB sys dt = [ pbdv + [m₂bo+ [m/bi CV CS Cs Jo pbar + Σmibi - Στου Σmobo CS CS E. None of the above B. D. dB sys dt dBsys dt CV + Σmobo CS pbdv + mobo - Σmibi CS = √ pbdv + [m,b; + [ibo mibi Σ mobo CV CS

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.33P

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Consider the general form of the Reynolds transport theorem (RTT) given by dBsys / dt = d/dt ∫CV ρb dV +∫CS ρbV-› r·n-› dAwhere V-›r is the velocity of the fluid relative to the control surface. Let Bsys be the mass m of a closed system of fluid particles. We know that for a system, dm/dt = 0 since no mass can enter or leave the system by definition. Use the given equation to derive the equation of conservation of mass for a control volume.
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