Canarina Environmental Software

Canarina DISPER software · air emissions mapping · algorithms 10

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Canarina DISPER software · air emissions mapping 

 

Unstable or Neutral - Crossover Between Momentum and Buoyancy.

For cases with stack gas temperature greater than or equal to ambient temperature, it must be determined whether the plume rise is dominated by momentum or buoyancy. The crossover temperature difference, (DT)c, is determined as follows:

for Fb < 55,

 

(DT)c=0.0297 Ts(vs/ds2)1/3      (9) 

 

and for Fb >= 55,

 

(DT)c=0.00575 Ts(vs2/ds)1/3     (10)

 

If DT, exceeds or equals (DT)c, plume rise is assumed to be buoyancy dominated, otherwise plume rise is assumed to be momentum dominated.

Unstable or Neutral - Buoyancy Rise.

For situations where DT exceeds (DT)c as determined above, buoyancy is assumed to dominate. The distance to final rise, xf, is assumed to be 3.5x*, where x* is the distance at which atmospheric turbulence begins to dominate entrainment. The value of xf is calculated as follows:

for Fb < 55:

 

xf=49Fb5/8      (11)

 

and for Fb >= 55:

 

xf=119Fb2/5     (12)

 

The final effective plume height, he (m), is determined as

for Fb < 55:

 

he=hs+(21.425 Fb3/4/us)    (13)

 

and for Fb = 55:

 

he=hs+(38.71 Fb3/5/us)          (14)

 

 

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Canarina DISPER software · air emissions mapping 

 

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