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Chap6MassEnergyAnalysisofControlVolumes1

# Chap6MassEnergyAnalysisofControlVolumes1 - Chapter 6 Mass...

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1 Chapter 6 Mass and Energy Analysis of Control Volumes 6.1 Mass and Volume Flow Rates: Figure 6.3 The average velocity Vavg is defined as the average speed through a cross section. Average Velocity: m = ρ V avg A c (6.5) Volume flow rate: The mass and volume flow rates are related by: Figure 6.4 The volume flow rate is the volume of fluid flowing through a cross section per unit time.

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2 Conservation of Mass Principle The net transfer to or from a control volume during a time interval Δ t is equal to the net change (increase or decrease) in the total mass within the control volume during Δ t. m in – m out = Δ m CV (6.8) (6.15) (6.17) Mass Balance for Steady-Flow Processes It states that the total rate of mass entering a control volume is equal to the total rate of mass leaving it. Steady flow (single stream): Figure 6.7 Conservation of mass principle for a two-inlet–one-outlet steady-flow system. Steady flow:
3 Special Case: Incompressible Flow Figure 6.8 During a steady-flow process, volume flow rates are not necessarily conserved although mass flow rates are.

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