Physical Interpretation of the Term "dm_cv/dt" from the CV Form of Conservation of Mass
The term "dm_cv/dt" in the CV form of conservation of mass represents the time rate of flow of mass INTO the control volume (CV). This means that the term describes how quickly mass is entering the control volume over a given period of time. The term "flux of mass INTO the CV" further emphasizes the idea of flow, as it is defined as the rate of flow of fluid, particles, or energy INTO the control volume.
Conversely, the term "time rate of flow of mass OUT of the CV" represents the rate at which mass is leaving the control volume over a given period of time. The "flux of mass OUT of the CV" is defined in the same way as the flux INTO the CV, but in this case, it describes the rate of flow of fluid, particles, or energy OUT of the control volume.
Furthermore, the term "time rate of change of mass outside the control volume" refers to the rate at which mass is changing in the region outside of the control volume. This term is important because it accounts for any mass that may be entering or leaving the system, which could affect the overall conservation of mass.
The "rate of depletion of mass in the CV" represents the rate at which mass is being removed from the control volume over a given period of time. This term is important to consider when analyzing processes that involve the removal of mass, such as filtration or evaporation.
Finally, the "rate of accumulation of mass in the CV" represents the rate at which mass is accumulating within the control volume over a given period of time. This term is important to consider when analyzing processes that involve the addition of mass, such as chemical reactions or absorption.
Provide a physical interpretation for the terms "flux of mass INTO the CV" and "flux of mass OUT of the CV."
The term "flux of mass INTO the CV" represents the rate of flow of fluid, particles, or energy INTO the control volume, while "flux of mass OUT of the CV" represents the rate of flow of fluid, particles, or energy OUT of the control volume. Both terms describe the movement of mass across the boundaries of the control volume.