The Mechanical Engineering Handbook



Bernoulli's Equation

Bernoulli's Equation



$$P_1 + \frac{1}{2}\rho {v_1}^2 + \rho g h_1 = P_2 + \frac{1}{2}\rho {v_2}^2 + \rho g h_2 $$
where:

P1   =   Static pressure 1   (Pa)

P2   =   Static pressure 2   (Pa)

ρ   =   Density   (kg/m³)

v1   =   Velocity 1   (m/s2)

v2   =   Velocity 2   (m/s2)

g   =   Gravitational acceleration   (m/s2)

h1   =   Height 1   (m)

h2   =   Height 2   (m)


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Equation Assumptions



  • The fluid is incompressible and non-viscous (ideal).
  • Fluid is in steady flow.
  • There are no energy losses.
  • There is no heat transfer.