Scaled Overpressure:
$$p_s = p/p_a $$

$p$ Overpressure (Pa)
$p_a$ Atmospheric Pressure (Pa)

Sachs Scaled Distance:
$$\bar{R} = R /(h_{combustion} \cdot V/p_a)^{1/3} $$

$R$ Radius ($m$)
$h_{combustion}$ Heat of combustion of stoichiometric hydrocarbon-air mixture ($J/m^3$)
$V$ volume of congested area (or in the case of DDT entire flammable cloud volume) ($m^3$)

Tool for calculating TNO overpressure

This tool does the above calculation to determine overpressure based on radius and chosen TNO curve


Sachs Scaled Radius ($\bar{R}$): 10

Find the R value on the x axis and find the corresponding $p_s$ value on your chosen TNO curve, and input here.

Overpressure at distance: 10psi

References

  1. TNO Yellow Book … etc.