श्यान प्रवाह दर कैलकुलेटर — 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.

    हल किया गया उदाहरण

    Water (mu = 0.001 Pa s) through a 1 cm radius, 1 m long pipe with 1 kPa pressure drop.

    1. Q = pi * (0.01)^4 * 1000 / (8 * 0.001 * 1)
    2. R^4 = 1e-8
    3. Q = pi * 1e-8 * 1000 / 0.008
    4. Q = pi * 1e-5 / 0.008 = 3.927e-3 m3/s
    5. Q = 235.6 L/min