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  • Fluid Mechanics
    • Flow Coefficient, Cv, to Flow Factor, Kv, Converter
    • Joukowsky Equation
    • Pumps
      • Head to Pressure Converter
    • Speed of Sound in Gas
    • Speed of Sound in Liquid
  • Mathematics
    • Expansion of Series
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      • 2D Shapes
    • Metric Decimal Prefixes
  • Solid Mechanics
    • Bulk Modulus
    • Stress for Thick Walled Cylinders using Lamé’s Equations
    • Stress for Thin-Walled Spheres & Cylinders
  • Thermodynamics
    • Boltzmann Constant
    • Combustion
      • API Gravity
    • Four Laws of Thermodynamics
    • Gas Constants
    • Ideal Gas Law
My DataBook

Facts, tools and information for Engineers & Scientists.

Joukowsky Equation

Joukowsky Equation for Fluids

  • Summary
  • Calculate Change in Pressure in Fluids (Joukowsky Pressure)
  • See Also

Summary

The Joukowsky equation measures the change in pressure of a fluid resulting from a change in the fluid’s velocity and is written as:

(1)   \begin{align*}\Delta P = \rho c \Delta v\end{align*}

where \Delta P = change in pressure, \rho = density, c = fluid wave speed (speed of sound), \Delta v = change in velocity.

This equation is used most widely for calculating the maximum theoretical surge pressure or head resulting from instantenous valve closure in a piping or pipeline system.

Joukowsky Pressure Calculator

Calculate change in fluid pressure as a result of velocity change:
Formula: \Delta P = \rho c \Delta v
\Delta P = change in pressure
\rho = density
c = fluid wave speed
\Delta v = change in velocity
Density kg/m³
Fluid Wave Speed m/s
Change in Velocity m/s
Result: Pa

See Also

  • Bulk Modulus
  • Speed of Sound in Liquid
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  • Home
  • Fluid Mechanics
    • Flow Coefficient, Cv, to Flow Factor, Kv, Converter
    • Joukowsky Equation
    • Pumps
      • Head to Pressure Converter
    • Speed of Sound in Gas
    • Speed of Sound in Liquid
  • Mathematics
    • Expansion of Series
    • Geometry
      • 2D Shapes
    • Metric Decimal Prefixes
  • Solid Mechanics
    • Bulk Modulus
    • Stress for Thick Walled Cylinders using Lamé’s Equations
    • Stress for Thin-Walled Spheres & Cylinders
  • Thermodynamics
    • Boltzmann Constant
    • Combustion
      • API Gravity
    • Four Laws of Thermodynamics
    • Gas Constants
    • Ideal Gas Law
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