Gaussian Maximum Ground Level Emission Concentration (C_{max}) Formula & Calculator
 

Air pollution dispersion model (C_{max}) calculator  formula & step by step calculation to measure the maximum ground level emission concentration of nonreactive air pollutatnt from the point source by using the Gaussian Plume Model (GPM) to design the stacks & environmental impact analysis. C_{max} = [(Q/π x u x σ_{y} x σ_{z}) x exp(1/2 x H^{2}/σ_{z}^{2})]. The emission rate Q in μg/s, horizontal emission dispersion or standard deviation σ_{y} in m, vertical emission dispersion σ_{z} 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 σ_{z} = 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 C_{max} 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.