The mass flow rate is defined as the mass of a liquid substance passing per unit of time. SI units are kilogram per second. The mass flow directly depends on the density, velocity of the liquid, and the area of the cross-section. It is also defined as the movement of mass per unit of time.
Index
Formula for Mass Flow Rate
The formula can be written as,
\(m = \rho VA\)Where,
\(\rho\) – Density of fluid
\(V\) – Velocity of liquid
\(A\) – Area of cross section
Solved Examples
Question 1. Given the density of a fluid as 1000 kg/m3, velocity as 50 m/s and area of cross-section as 10 cm2, determine the movement of mass per unit of time.
Solution. Given,
⍴= 1000 kg/m3
V = 50 m/s
A = 10 cm2 = 0.1 m2
m = ⍴VA
m = 1000 x 50 x 0.1
∴ m = 5000 kg/s
Question 2. A fluid moves at 20 m/s through a tube. The tube has an area of 0.5 m2. The density of the fluid is 1.5 g/m3. Determine the movement of mass per unit of time.
Solution. Given,
⍴= 1.5 g/m3
V = 20 m/s
A = 0.5 m2
m = ⍴VA
m = 20 x 1.5 x 0.5
∴ m = 15 g/s
FAQs
It can be calculated by formula:
m = ⍴VA
Where,
⍴ – Density of fluid
V -> Velocity of liquid
A -> Area of cross section
Mass flow rate is the mass of a liquid passing through an area of cross-section per unit of time. Volumetric flow rate is the volume of the liquid passing through per unit of time.
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