Canarina Environmental Software

Canarina DISPER software · air · environment health and safety management · algorithms 13

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Courtesy of Canarina Environmental Software

 

Canarina DISPER software · air · environment health and safety management

 

All Conditions - Distance Less Than Distance to Final Rise.

Where gradual rise is to be estimated for unstable, neutral, or stable conditions, if the distance downwind from source to receptor, x, is less than the distance to final rise:

 

he=hs+1.60 [(Fb x2)1/3/us]      (21)

 

This height will be used only for buoyancy dominated conditions; should it exceed the final rise for the appropriate condition. For momentum dominated conditions, the following equations are used to calculate a distance dependent momentum plume rise:

a)     unstable conditions:

he=hs+[3Fmx/(betj2us2)]1/3      (22)

 

where x is the downwind distance, with a maximum value xmax:

 

xmax=4ds(vs+3us)/(vsus)   for Fb=0                 (23)

 

xmax=49 Fb5/8             for 0 < Fb < 55 m2s3      (24)

 

xmax=119 Fb2/5            for Fb > 55 m2s3         (25)

 

b) stable conditions:

he=hs+(3Fm)1/3{sin[x s1/2/us]}1/3[betj2uss1/2]-1/3   (26)

 

where x is the downwind distance, with a maximum value xmax:

 

xmax=0.5 pi us/s1/2            (27)

 

The jet entrainment coefficient, betj, is given by,

 

betj=(1/3)+(us/vs)       (28) 

 

If the distance-dependent momentum rise exceeds the final rise for the appropriate condition, then the final rise is substituted instead.

 


 

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Canarina DISPER software · air · environment health and safety management 

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