## Mass Flow Rate Formula

The mass flow rate is the mass of a liquid substance passing per unit time. In other words, Mass flow rate is defined as the rate of movement of liquid mass through a unit area. The mass flow is directly depended on the density, velocity of the liquid and area of cross section. It is the movement of mass per unit time.The mass flow is denoted by m and the units in kg/s.

The mass flow formula is given by,

$m=\rho&space;VA$

Where,

ρ = density of fluid,

V = velocity of the liquid, and

A = area of cross section

Example 1

Determine the mass flow rate of a given fluid whose density is 700 kg/m3, velocity and area of cross section are 20m/s and 20cm2 respectively.

Solution:

Given values are,

ρ = 700kg/m3,

V = 20m/s, and

A = 20cm2

= 0.20m2

The mass flow rate formula is given by,

m = ρVA

= 700 × 20 × 0.20

= 2800 kg/s

Example 2

The density and velocity of a given fluid is 900kg/m3 and 5m/s. If this fluid flows through an area of 20cm2, determine the mass flow rate.

Solution:

Given values are,

ρ = 900kg/m3,

V = 5m/s, and

A = 20cm2

= 0.20m2

The mass flow rate formula is given by,

m = ρVA

= 900 × 5 ×0.20

= 900 kg/s