Volume flux is constant

The product of the area and the fluid speed, which is called the volume flux, is constant at all points along the tube of flow of an incompressible liquid. This equation is also known as the equation of continuity.

Conditions:

1. The fluid is ideal.

Links:

1. Engineering LibreTexts, derivable from here.

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

tube_area

Cross-sectional area of the tube of flow as a function of time.

Symbol:

A(t)

Latex:

\(A{\left(t \right)}\)

Dimension:

area

flow_speed

flow_speed of the fluid as a function of time.

Symbol:

u(t)

Latex:

\(u{\left(t \right)}\)

Dimension:

velocity

law

Derivative(A(t) * u(t), t) = 0

Latex:

\[\frac{d}{d t} A{\left(t \right)} u{\left(t \right)} = 0\]