Mass Flow Rate Formula and Sample Sums

Mass Flow Rate Formula :

The mass flow formula is M(kg/s) in kilogram per second is equal to the product of density of fluid ρ (kg/m3) in kilogram meter3 and multiply the  velocity V (m/s) in meter per second and multiply the area of cross section A(cm2) in centimeter2 .Hence the mass of flow rate can be written as,

M(kg/s)(kg/m3)*V (m/s)*A(cm2)

Where,

ρ→ density of fluid in kilogram cube meter

V→ velocity in m/s

A→ area of cross-section in centimeter2

Sample Sums :

Sum1 :

Calculate the mass flow rate of a given fluid whose density is 500kg/m3, velocity, and area of cross-section is 40m/s and30Cm2 respectively.

Solution :

Given values are

ρ =500Kg/m 3

V=40m/s amd

A=30 cm2

=0.30 m2

The mass flow rate formula is given by

m=ρVA

m=500 *40 *0.30

m=6000kg/s

Sum2 :

Calculate the mass flow rate of a given fluid whose density is 800kg/m3, velocity, and area of cross-section is 30m/s and 60Cm2 respectively.

Solution :

Given values are

ρ =800Kg/m 3

V=30m/s amd

A=60 cm2

=0.60 m2

The mass flow rate formula is given by

m=ρVA

m=800 *30 *0.60

m=14400kg/s

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