Flow rate

From Chemepedia

The flow rate of a transport property, or , is related to the convective flux by

            (1)

where

  • is the unit normal that defines

Cartesian Coordinates

In Cartesian coordinates, the differential area is

            (2)

So if , Eq. (1) becomes

            (3)

which reduces to

            (4)

Cylindrical Coordinates

In cylindrical coordinates, the differential area is

            (5)

So if , Eq. (1) becomes

            (6)

which reduces to

            (7)

If , Eq. (1) reduces to

            (8)

Spherical Coordinates

In spherical coordinates, the differential area is

            (9)

So if , Eq. (1) becomes

            (10)

which becomes

            (11)