Poiseulle Formula

Overview

Engineering reference data for Poiseulle Formula in basics.

Key Formulas

Ohm's Law

$V = IR$

Voltage = Current × Resistance.

Newton's Second Law

$F = ma$

Force = mass × acceleration.

Conservation of Energy

$E_{in} = E_{out} + \Delta E_{stored}$

Energy balance.

Variables

Symbol	Description	Unit
$V$	Voltage	V
$I$	Current	A
$R$	Resistance	Ω
$F$	Force	N
$m$	Mass	kg
$a$	Acceleration	m/s²

Assumptions and Applicability

The Poiseuille's formula is valid under specific conditions for fluid flow in pipes. Key assumptions include:

• Flow is laminar and fully developed (Reynolds number typically < 2300).
• The pipe is circular with a smooth wall.
• The fluid is incompressible and Newtonian (constant viscosity).
• Steady-state flow with no acceleration.
• No-slip condition at the pipe walls (fluid velocity is zero at the wall).

These assumptions ensure the formula accurately predicts the volumetric flow rate $V$ as given in the Key Formulas section.

References

• Original Source