# 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 800 kg/m3, velocity and area of cross-section is 30 m/s and 20cm2 respectively.

Solution:

Given values are,

ρ = 800kg/m3

V = 30m/s and

A = 20cm2

= 0.20m2

The mass flow rate formula is given by,

m = ρVA

m = 800 × 30 × 0.20

m = 4800 kg/s