Viscous Flow Rate Calculator — सूत्र
## Hagen-Poiseuille Flow
For steady, laminar, incompressible flow through a long circular pipe, the flow rate depends strongly on the pipe radius.
### Formula
**Q = pi R^4 dP / (8 mu L)**
- *R* = pipe radius
- *dP* = pressure drop along the pipe
- *mu* = dynamic viscosity
- *L* = pipe length
The R^4 dependence means doubling the radius increases flow by 16 times.
For steady, laminar, incompressible flow through a long circular pipe, the flow rate depends strongly on the pipe radius.
### Formula
**Q = pi R^4 dP / (8 mu L)**
- *R* = pipe radius
- *dP* = pressure drop along the pipe
- *mu* = dynamic viscosity
- *L* = pipe length
The R^4 dependence means doubling the radius increases flow by 16 times.
हल किया गया उदाहरण
Water (mu = 0.001 Pa s) through a 1 cm radius, 1 m long pipe with 1 kPa pressure drop.
- Q = pi * (0.01)^4 * 1000 / (8 * 0.001 * 1)
- R^4 = 1e-8
- Q = pi * 1e-8 * 1000 / 0.008
- Q = pi * 1e-5 / 0.008 = 3.927e-3 m3/s
- Q = 235.6 L/min