# Gaussian Maximum Ground Level Emission Concentration (Cmax) Formula & Calculator

## Air Pollution Dispersion Model Calculation

Q - Emission rate (μg/s)
σy - Horizontal dispresion of emission (m)
σz - Vertical dispresion of emission (m)
U - avg wind speed at stack height (m/s)
H - Effective stack height (m)

Air pollution dispersion model (Cmax) calculator - formula & step by step calculation to measure the maximum ground level emission concentration of non-reactive air pollutatnt from the point source by using the Gaussian Plume Model (GPM) to design the stacks & environmental impact analysis. Cmax = [(Q/π x u x σy x σz) x exp(-1/2 x H2z2)]. The emission rate Q in μg/s, horizontal emission dispersion or standard deviation σy in m, vertical emission dispersion σz in m, average wind speed at stack height in m/s, effective stack height H = ∇h + h in m, ∇h - plume rise in m, h - physical stck height in m & natural atmospheric condition σz = H/√2 are the key elements of this calculation.

## Formula

In environmental engineering, the below Gaussian plume model (GPM) formula is used to measure the maximum ground level emission concentration from the point source. This calculator provides step by step calculation for each set of inputs let users to understand how to perform such air pollution dispersion model calculations manually.

In the field of environmental engineering, while working with designing the stacks or environmental impact analysis, sometimes it's important to analyse the air pollution dispersion model. The above formula & the step by step calculation may useful for users to understand how the values are being used in the Cmax formula, however, when it comes to online for quick calculations, this Gaussian maximum ground level emission concentration calculator helps the user to perform & verify such calculations as quick & easy as possible.

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