# Dynamic Pressure

## Dynamic pressure is the kinetic energy per unit volume of a fluid

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Dynamic pressure is the kinetic energy per unit volume of a fluid - a liquid or gas - and can be expressed as

p_{d}= 1/2 ρ v^{2}(1)

where

p_{d }= dynamic pressure (Pa)

ρ = density of fluid (kg/m^{3})

v = velocity (m/s)

### Dynamic Pressure Calculator

The calculator below can be used to calculate the dynamic pressure generated by a moving fluid. The calculator is generic and both SI and Imperial units can be used.

The default values below are for water with density of *1000 kg/m ^{3}*.

Some common densities at atmospheric pressure:

- Water -
0^{o}C - 1000 kg/m^{3}- Water -
32^{o}F - 62.4 lb_{m}/ft^{3}- Air -
20^{o}C - 1.2 kg/m^{3}- Air -
59^{o}F - 0.0765 lb_{m}/ft^{3}

### Example - The Dynamic Pressure in a Water Flow

The dynamic pressure in water with - temperature *20 ^{o}C* - density

*1000 kg/m*- velocity

^{3}*5 m/s*- can be calculated as

p_{d}= 1/2 (1000 kg/m^{3}) (5 m/s)^{2}

= 12500 Pa

= 12.5 kPa

### Example - The Force acting on a Wall from a Hurricane

The dynamic pressure in a hurricane with temperature *20 ^{o}C,* density

*1.2 kg/m*and velocity

^{3}*37 m/s*can be calculated as

p_{d}= 1/2 (1.2 kg/m^{3}) (37 m/s)^{2}

= 821 Pa (N/m^{2})

The force acting on a wall with area *A = 10 m ^{2} *can be calculated as

*F = p _{d} A *

* = (821 N/m ^{2}) (10 m^{2})*

* = 8210 N*

* = 8.2 kN*

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