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Chapter 18

Finite Control Volume Analysis

Conservation of Mass in Finite Cotrol Volume
Conservation of Mass in Finite Cotrol Volume
The continuity equation is derived from the principle that the mass within a system remains constant. To analyze fluid movement, we observe the mass ...
Conservation of Mass in Fixed, Nondeforming Control Volume
Conservation of Mass in Fixed, Nondeforming Control Volume
The principle of conservation of mass states that, within a fixed control volume, any change in mass over time must be balanced by the flow of mass across ...
Conservation of Mass in Moving, Nondeforming Control Volume
Conservation of Mass in Moving, Nondeforming Control Volume
The conservation of mass is crucial in understanding the water flow in a rotating sprinkler system used for agricultural irrigation. The sprinkler ...
Linear Momentum in Control Volume
Linear Momentum in Control Volume
Newton's second law for a fluid system states that the rate of change of linear momentum in a flow with respect to time is equal to the sum of the ...
Application of the Linear Momentum Equation
Application of the Linear Momentum Equation
Water is flowing through a horizontal, U-shaped pipe bend. The cross-sectional area of the flow is 0.01 square meters, and the magnitude of the flow ...
Moment-of-Momentum Equation
Moment-of-Momentum Equation
The moment-of-momentum equation analyzes the torque produced by the rotating blades of a wind turbine. The moment-of-momentum equation is found by ...
Conservation of Energy in Control Volume
Conservation of Energy in Control Volume
The first law of thermodynamics states that the rate of change of total stored energy in a system equals the net rate of heat and work transferred into a ...
Application of the Energy Equation
Application of the Energy Equation
If the flow rate of a centrifugal pump that applies a pressure of 7500 joules per second to lift water from a reservoir at a lower level to a reservoir at ...
Design Example: Forces in Sluice Gate
Design Example: Forces in Sluice Gate
A sluice gate is a vertical barrier that controls water flow in a channel. To calculate the forces acting on a sluice gate, consider water flowing under ...
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