Continuity Equation Summary
Density changes in a fluid are inversely proportional to temperature changes.
Buoyancy is the tendency of a body to float or rise when submerged in a
The pressure exerted by a column of water is directly proportional to the
height of the column and the density of the water.
r h g
Pascals law states that pressure applied to a confined fluid is transmitted
undiminished throughout the confining vessel of a system.
Volumetric flow rate is the volume of fluid per unit time passing a point in
a fluid system.
Mass flow rate is the mass of fluid per unit time passing a point in a fluid
The volumetric flow rate is calculated by the product of the average fluid
velocity and the cross-sectional area for flow.
The mass flow rate is calculated by the product of the volumetric flow rate
and the fluid density.
r A v
The principle of conservation of mass states that all mass flow rates into a
control volume are equal to all mass flow rates out of the control volume
plus the rate of change of mass within the control volume.
For a control volume with a single inlet and outlet, the continuity equation
can be expressed as follows:
For a control volume with multiple inlets and outlets, the continuity