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PHYSICS / FLUID DYNAMICS

Bernoulli Pressure Calculator

Estimate downstream pressure along one streamline from pressure, velocity, and elevation changes. Inspect the SI equation, substituted inputs, derived result, and physical limitations in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Equation inputs

Preparing the calculator...

Use boundary

Calculation path

Estimate downstream pressure along one streamline from pressure, velocity, and elevation changes. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

p_2=p_1+rho(v_1^2-v_2^2)/2+rho g(h_1-h_2)

What you provide

What you provide

  • Upstream pressure expressed in Pa, using the same scenario as the other inputs
  • Fluid density expressed in kg/m^3, using the same scenario as the other inputs
  • Upstream speed expressed in m/s, using the same scenario as the other inputs
  • Downstream speed expressed in m/s, using the same scenario as the other inputs
  • Upstream elevation expressed in m, using the same scenario as the other inputs
  • Downstream elevation expressed in m, using the same scenario as the other inputs
  • Gravitational acceleration expressed in m/s^2, using the same scenario as the other inputs

What you receive

What you receive

  • Downstream pressure in Pa from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Flow is steady, incompressible, inviscid, and evaluated along one streamline with no pump or turbine work.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors

OpenStax: Bernoulli's equation

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