CONTINUITY EQUATION
Mass and Volume Flow Rates
The amount of mass flowing through a cross section per unit time is called
the mass flow rate and is denoted by m (with dot at the top) . The dot over a symbol is used to
indicate time rate of change. A fluid flows into or out of a control volume, usually through pipes or
ducts. The differential mass flow rate of fluid flowing across a small area
element dAc in a cross section of the pipe is proportional to dAc itself, the
fluid density p, and the component of the flow velocity normal to dAc,
which we denote as Vn' and is expressed as
Mass and Volume Flow Rates
The amount of mass flowing through a cross section per unit time is called
the mass flow rate and is denoted by m (with dot at the top) . The dot over a symbol is used to
indicate time rate of change. A fluid flows into or out of a control volume, usually through pipes or
ducts. The differential mass flow rate of fluid flowing across a small area
element dAc in a cross section of the pipe is proportional to dAc itself, the
fluid density p, and the component of the flow velocity normal to dAc,
which we denote as Vn' and is expressed as
dm= p Vn dA
m= pVA
m1=m2
p1V1A1=p2V2A2
usually p or density is same, without density we get
V1A1=V2A2
thats is equal to Q (Flowrate).
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