Bernoulli Equation Solver

This calculator solves the Bernoulli equation for steady, incompressible, inviscid flow along a streamline. It calculates one unknown parameter at point 2 (\(\text{Pressure } P_2\), \(\text{Velocity } v_2\), or \(\text{Height } h_2\)) given the conditions at point 1 and two known parameters at point 2.

The Bernoulli equation is: \(\\[ P_1 + \rho g h_1 + \frac{1}{2} \rho v_1^2 = P_2 + \rho g h_2 + \frac{1}{2} \rho v_2^2 \\]\)

Pressure (\(P\)): The fluid pressure at a point (Pa or psf).
Velocity (\(v\)): The fluid velocity at a point (m/s or ft/s).
Height (\(h\)): The elevation above a reference level (m or ft).
Density (\(\rho\)): The fluid density, temperature-dependent (kg/m\(^3\) or lb/ft\(^3\)).

Note: This calculator assumes constant density and neglects friction losses. For gases, compressibility effects are simplified. For precise applications, consult relevant fluid dynamics standards.

Calculate:

Unit System:

Fluid Type

Fluid Temperature (℃)

Pressure at Point 1 (\(P_1\)) (\(\text{Pa}\))

Velocity at Point 1 (\(v_1\)) (\(\text{m/s}\))

Height at Point 1 (\(h_1\)) (\(\text{m}\))

Pressure at Point 2 (\(P_2\)) (\(\text{Pa}\))

Velocity at Point 2 (\(v_2\)) (\(\text{m/s}\))

Height at Point 2 (\(h_2\)) (\(\text{m}\))

Calculation Results

Parameter	Value