CANARINA:   DESCAR: Algorithms II · software · outfall and reverse osmosis                                       1. Buoyant jet model A type of mathematical model that has been developed for sumerged round buoyant jets is the length-scale model.  Discharges flows can be divided into different regimes each dominated by particular flow properties. Within each regime, the flow may be approximated with simple mathematical relations describing the simplified problem. A model that uses asymptotic solutions is refered to as length-scale model because of length scales to delineate the extent of the regimes for which the mathematical expressions are valid. The pollutant concentration, in a certain instant, and at a distance x (meters) in the X-Axis and at a distance y(meters) in the Y-Axis will be given by:    c =cc exp[-(r/b)2]  (1)   where c is the pollutant concentration, r is the distance from the point (that we are calculating) to the center of the line that forms the polluting plume, cc is the pollutant concentration in the center of the plume line and b is the plume half-width. We attempt to link the momentum dominated and buoyanvy dominated regimes into one relationship by using proposed relations for the transition where:    z/Lb =24/3[(1/2)(x/Lb)2+(Lm/Lb)(x/Lb)]1/3  (2) b/Lb =cb[(1/2)(x/Lb)2+(Lm/Lb)(x/Lb)]1/3    (3) S=cs(uo/ua)[(1/2)(Lb/Lm)(x/Lm)2+(x/Lm)]1/3 (4) Lb=plume-to-crossflow length scale Lm=jet-to-crossflow length scale x=horizontal downstream coordinate in global coordinate system y=horizontal coordinate in coordinate system perpendicular to ambient crossflow z=vertical coordinate ua=ambient velocity uo=discharge velocity S=dilution along the plume centerline C/C0 being C the centerline pollutant concentration and the C0 initial pollutant concentration at the discharge. cb=constant of proportionality that can be modified by the user (can be determined experimentally) cs=constant of proportionality that can be modified by the user (can be determined experimentally) cxy=constant of proportionality that can be modified by the user (can be determined experimentally) We obtain solutions for a vertical buoyant jet in a crossflow. And buoyant jets discharged horizontally perpendiculat to crossflow. z/Lb =cxy(x/Lm)1/3    (5)    This model performs satisfactorily for simple flows with no shoreline interaction or attachment. Strong crosscurrents or limited depths causing attachment with the downstrean bank or strong initial buoyancy render this model invalid. In addition, they are incapable of simulating any far-field processes that occur after a certain distance.                (air)           (noise)              (electrosmog)           outfall and reverse osmosis                                                                                   Canarina Environmental Software Software for environmental consulting firms Canary Islands, Spain  e-mail: contact        European Union · network on Pollution Member of MAPO: European network on Marine Pollution.                        english:           castellano:        italiano:           français:      português:     deutsch:         APLICACIONES castellano: DIS CUS DES  RAD   english: DIS CUS   RAD     deutsch: DIS CUS  DES  RAD   português: DIS CUS DES RAD     italiano:   DIS CUS  DES RAD français:  DIS CUS DES RAD DESCAR: DESCAR software outfall modeling   discharge simulation and sewage    effluent modeling and wastewater    outfall and plume simulation   pycnocline · thermocline   ouftfall simulation and water quality   water contamination   effluent and water discharge   fluid flow modeling   flow analysis   environmental protection   environmental analysis   environmental chemistry   outfall and wastewater treatment   outfall and reverse osmosis   marine pollution    environmental consulting   water contamination  environmental audit and risk   environmental compliance   environmental experts · water   environmental magnagement software   pollution maps   environmental planning    wastewater