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Algorithms V

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2.3 Near mixing zone and distant mixing zone

We need to know the place where the plume centerline crosses the water surface or picnocline layer. To calculate this point we will use U_a and the vertical velocity

Multiport diffuser.- W=1,66(g’q)^1/3 being W the vertical velocity of the effluent (m/s).

Separated ports.- W=6,3(g’Q_b/H)^1/3 .

Single port.- W=6,3(g’Q/H)^1/3.

In the last two cases, H will be replaced by ymax when the water is stratified. The point localization with regard to the place where the plume centerline crosses the surface, gives us the near and distant mixing zone definitions.

2.4 Concentration calculation

The concentration value in a plume point is determined by the X,Y,Z coordinates and is given by the equation:

C(X,Y,Z)=(C₀/S) F₀(t)F₁(t)F₂(Y,t)F₃(Z,t)

C₀=pollutant concentration in the effluent

S=initial dilution

being t=X/U_a. F₀(t) takes into account non-conservative pollutants and is equal to:

F₀(t)=10^-t/T90

The F₀, F₁, F₂ and F₃ functions depend on being in near or distant mixing zone.

(a) Near mixing zone:

In such a case, the equations are

F₁(t)=1

F₂(Y,t)=(1/2)[erf[(B/2+Y)/(σ_y2^1/2)]+ erf[(B/2-Y)/(σ_y2^1/2)]]

F₃(Z,t)=(1/2)[erf[(e+Z)/(σ_z2^1/2)]+ erf[(e-Z)/(σ_z2^1/2)]]

being σ_y=(2K_yt)^1/2 and σ_z=(2K_zt)^1/2. The program calculats erf function by numerical integration. The the precision of integration method depends on the parameter N_int. Increasing N_int value, we increase the numeric convergence but we will need more time of calculation. We should look for an optimized value of N_int.

ALGORITHMS: Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Algorithms VI

Canarina Algoritmos Numéricos, S.L.

Environmental software solutions

Software para impacto del medio ambiente

Canary Islands, Spain

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European network on pollution · European Union

Member of MAPO: European network on Marine Pollution. Project

funded by the European Commission through the

6th Framework Programme for Research and Development

eutrophication

CANARINA: Home - Air pollution · DISPER - Noise pollution · CUSTIC - Water pollution · DESCAR - Contact us

DESCAR: DESCAR: water pollution - Data I - Algorithms I - Pollutants I

SOLUTIONS: DESCAR: water pollution - Advantages - Price

INPUT DATA: Data I - Data II - Data III - Import - Commands - Graphs I - Graphs II

ALGORITHMS: Algorithms I - Algorithms II - Algorithms III - Algorithms IV - Algorithms V - Algorithms VI

POLLUTANTS: Pollutants I - Pollutants II - The sea I - The sea II - Pycnocline

DESCAR software solutions: This application has been used in great number of environmental reports, courses and water pollution studies in the last years. We currently have users in more than 10 countries.

Ripon - environment protection and biodiversity conservation act 1999 - environmental protection laws - protection of the environment operations act -

Salford - environmental protection division - environment protection act 1986 - department environmental protection -

Devon - environment protection authority - protection of environment - the environmental protection act -

Lincolnshire - the environmental protection act 1990 - environmental protection act 1994 - water pollution picture

Cumbria - department of environment protection - environmental protection commission -

Hampshire - environmental protection act 1990 - environmental protection authority - water pollution picture

Cornualles - food and environment protection act 1985 - national environment protection measure - environmental protection bureau -

North Yorkshire - environment protection rules -

Norfolk - environmental compliance - environmental protectors - environmental concern - water pollution picture

Cambridgeshire - marine environment protection - water pollution picture

Oxfordshire - environmental protection regulation 1998 - environmental protection agency act - environmental protection agency uk -

Bangor - department of environmental protection - environment protection rules 1986 - environmental protection service -

Bath - environmental protection and biodiversity conservation act 1999 - environmental protection groups - environmental protection act 1999 -

Aberdeen - environment protection policy - the environment protection act 1986 - environment protection and biodiversity conservation -

Armagh - environmental protection technology - environment management and protection - environmental protection and enhancement act -

Belfast - protection of the environment act - environmental protection agency region - environmental protection group -

Birmingham - environmental concerns - environmental organizations - environmental consultants

Bristol - environmental management - environmental pollution - enviro protect

Cambridge - environmental monitoring - ecology protection - environmentally friendly - water pollution picture

Bradford - environmental problems - protect the environment - saving the environment -

Brighton & Hove - environmental protection agency's - environmental conservation - environmental services -

Nottingham - ecological organizations - environmental law - protective environment - water pollution picture

Oxford - environment protection act 1970 - environmental protection legislation - national environment protection council -

Portsmouth - environmental protection and biodiversity conservation act - environmental protection policy - environmental protection services -

Preston - environmental protection specialist - environmental protection and enhancement act - environmental protection act 1986

Peterborough - environmental protection regulation - environmental protection association - protection of the environment operations act 1997 -

Plymouth - environmental protection regulations - environmental protection plan - environmental protection administration -

Canaries: outfall design and water pollution report in Santa Cruz - outfall design and water pollution report in Las Palmas - outfall modeling and water pollution study in Puerto -

Balears: outfall design and water pollution report in Palma - outfall design and water pollution report in Mallorca - outfall modeling and water pollution study in Ibiza

Málaga: outfall design and water pollution report in Marbella - outfall design and water pollution report in Puerto - outfall modeling and water pollution study in Costa

Huelva: outfall design and water pollution report in Marbella - outfall design and water pollution report in the harbor - outfall modeling and water pollution study in the coast

Granada: outfall design and water pollution report in Almuñecar - outfall design and water pollution report in the harbor - outfall modeling and water pollution study in the coast

Asturias: outfall design and water pollution report in Gijón - outfall design and water pollution report in the harbor - outfall modeling and water pollution study in the coast

Cantabria: outfall design and water pollution report in Santander - outfall design and water pollution report in the harbor - outfall modeling and water pollution study in the coast -

Galicia: outfall design and water pollution report in La Coruña - outfall design and water pollution report in the harbor - outfall modeling and water pollution study in the coast -

Euskadi: outfall design and water pollution report in Bilbao - outfall design and water pollution report in Baracaldo - outfall modeling and water pollution study in Sestao -

Catalunya: outfall design and water pollution report in Barcelona - outfall design and water pollution report in Tarragona - outfall modeling and water pollution study in GIrona -

Glasgow - eutrophication report - seawater study -

Gloucester - consequences of water pollution course - wastewater pollution report - effects of water pollution course -

Hereford - water pollution prevention - water pollution research -

Inverness - cause of water pollution course - pollution in the water report - water and soil pollution study -

Kingston upon Hull - water pollution effects report -

Lancaster - industrial water pollution - water pollution control - smog on the water study - water pollution causes report -

Leeds - water pollution control federation -

Bradford - indoor pollution - soil pollution - natural pollution -

Brighton & Hove - water tanks - pure water and environmental causes of pollution - ground pollution -

Bristol - water purification and drinking water - pollution waters - waste water -

Cambridge - polluted water - polluted waters - clean water - water contamination - water conservation -

Canterbury - air pollution control - land pollution - water quality - water treatment -

Cardiff - pollution prevention - global warming - water supply -

Carlisle - environmental pollution - pollution control - ocean pollution - pollution -

Chester - water pollution - water pollution in the - air pollution -

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