TESTING THE CORMIX2 AND VISJET MODELS TO PREDICT THE DILUTION OF SAN FRANCISCO OUTFALL

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1 Diffuse Pllutin Cnference Dublin 3 ECSA 7 ixing/delling: TESTING THE CORIX AND VISJET ODELS TO PREDICT THE DILUTION OF SAN FRANCISCO OUTFALL A.Etemd-Shhidi * nd A.H. Azimi Deprtment f Civil Engineering, Irn University Science & Technlgy, Tehrn, Irn, P.O. Bx , emil: etemd@iust.c.ir ABSTRACT In recent yers using mixing zne mdels fr estimting the initil dilutin hs received ttentin frm mny reserches wh re interested in design f utflls fr dispsl f wste wter int cstl res. In this study the ner field dilutin f buynt nd nn buynt effluent frm utflls dischrging int different envirnments hs been investigted. A grup f three utflls with multi prt diffusers hve been designed fr the dischrge f wste wter int the Pcific Ocen ff the west side f the Sn Frncisc Peninsul. These utflls re intended t dispse bth dry wether (snitry wste wter) nd the wet wether (strm nd runff) flws tht re cllected by Sn Frncisc's cmbined sewer system. A lbrtry plume dilutin study ws used s n id in designing the diffusers. A length scle mdel (CORIX) nd n integrl type mdel (VISJET) which re prgrmmed fr the nlysis nd predictin f wste wter dilutin were used t simulte the lbrtry experiment. The btined results indicte tht dilutin estimted by CORIX nd VISJET mdels re reltively in gd greement with dilutin btined frm lbrtry dt in the unstrtified cnditin. Hwever, CORIX mdel hs sme limittin when used fr strtified cnditins which shuld be cnsidered. KEYWORDS: Length scle mdel, integrl type mdel, numericl simultin, ner field dilutin, multi prt diffuser, CORIX, VISJET. INTRODUCTION Ocen dispsl is n effective methd f wste wter dischrge in the cstl res. In this methd wste wter ws dischrged t the mbient wter nd dilutin mechnism ffect n the effluent. Therefre, dilutin prcess cn be reduced the dverse impct f wste wter dispsl n the envirnment. Dischrging thrugh the pen end f submerged pipe is simple structure f cen dispsl system. Using submerged multi-prt diffusers results in much higher initil dilutin nd reduces the immedite effect f the dischrged flw n the cen. A multi-prt diffuser is liner structure tht cnsists f mnifld cntining mny clsely spced prts thrugh which wstewter is dischrged (Wn se et l., 1). Physicl mdel nd lbrtry experiment re usully cnducted t simulte rel cse in the nture nd t nlyze the flw behvir nd it's chrcteristics. In fct, lbrtry studies re used t predict nd ptimize plume dilutin. When cmputers becme vilble the bility t simulte flw behvir nd predict their crrespnding prmeters were gretly incresed, numericl simultin such s CORIX nd VISJET re firmly estblished s cmmns tl t simulte the plume behvir. Envirnmentl prcess itself is extremely cmplex nd defies exct simultin. Initil dilutin btined frm lbrtry experiments nd field bservtins hve been extensively verified nd cmpred with numericl simultin mdels (Tsnis & Vle, 199; Vle & Tsnis, 1996; nd Zker et l., 1). In these studies, numericl results were in gd greement with lbrtry dt nd field mesurement. In this study grup f three utflls with multi-prt diffusers lcted ner Lke erced in the Sn Frncisc (Figure1) were simulted by VISJET nd CORIX mdels. VISJET (Lee et l., ) uses integrl equtins fr simultin f plume behvir, while CORIX (Akr & Jirk, 1991) is length scle mdel. In these simultins, designs cntined clusters f prts nd wste wter ws dischrged thrugh t 8 prts per risers. The im f this study ws t cmpre the perfrmnce CORIX nd VISJET mdels when the flw ws dischrged thugh clusters f prts. 6-19

2 Diffuse Pllutin Cnference Dublin 3 ECSA 7 ixing/delling: Figure 1: Lctin mp nd prpsed utfll system (fter Iscsn et l., 1983) GOVERNING EQUATIONS Plume behvir nd dilutin re chrcterized by vlume, kinemtics mmentum nd buyncy fluxes, respectively. π Q. d. U π U. Q =. d. U π ' B. d. U. g Where d is prt dimeter, U is dischrge velcity nd g ' = (1) = () = (3) ' g is effective grvittinl ccelertin, cn be written: = g ρ ρ ρ Where g is grvittinl ccelertin, ρ is effluence density nd ρ is mbient density (Fischer et l. 1979). Dimensinl nlysis f the bve prmeters, in unstrtified cnditin flw, leds t tw length scles definitins (Jirk & Dneker 1991). 1/ 3/ 1/ Q L Q = (5) L = (6) B L Q is the dischrge (gemetric) length scle nd L is the jet /plume trnsitin length scle. When Z is smller thn L Q the behvir f the plume is unpredictble. Fr Z > L Q, jet gemetry is nt imprtnt nd flw behvir is gverned by nd B,while fr Z > L the buyncy becmes mre effective nd the flw is plume like. when Z < L the initil jet mmentum becmes mre imprt nt thn the initil buyncy mmentum nd the flw is jet like. T cnsider the effect f current t buynt plume, nther relevnt length scle my be defined (Wright, 1977): L b B = (7) u 3 CORIX uses the bve mentined length scles t clssify the flw regime nd predict the initil dilutin. CORIX is prt f CORIX used fr diffuser design. (Akr & Jirk,1991). Integrl type mdels re bsed n rdinry differentil equtins. These mdels re ble t simulte nly the chrcteristics f the flw ner the surce. In these mdels the excess mmentum flux cn be expressed s: u m = ue ( ue + U ). r dr = u U is the excess velcity nd A = πd / e π (8) where m e is the excess mmentum flux, e is the crss sectinl re f nzzle. U is the velcity leving the tube in the turbulent jet. The centerline dilutin in c-flw in jet-like cnditin is expressed s (Chu et l., 1999): () 6-13

3 Diffuse Pllutin Cnference Dublin 3 S C λ πb U + 1+ λ = Where λ is the rti f the cncentrtin width b c t the velcity width b v, width, respectively. U is the mbient current velcity. Q U ECSA 7 ixing/delling: (9) U nd B re the excess velcity nd hlf SITE CHARACTERISTICS Sn Frncisc utfll is prt f the Suth West Ocen Outfll Prject (SWOOP). The utfll system cnsists f three submerged diffusers. Snitry wste wter (dry wether) ws dischrged thrugh the min diffuser, extending pprximtely 6m ffshre in depth f.9m. Tw dditinl diffusers were designed fr dischrging strm wter runff (wet wether). The wet wether system ws lcted pprximtely 37m ffshre with the dischrged depth f 13.7m. ximum flw rte fr bth dry nd wet wether utfll were 8.1 nd m 3 s -1, respectively. The behvir f dischrged plume ws nlyzed with lbrtry experiment. All tests were perfrmed in lng flume with 1.67m lng,.61m width nd.61m depth. Lbrtry experiment ws cnducted t cmbintin f dischrged nzzles rrngement nd current velcity (,.19 nd.57 ms -1 ). In ll tests, flw dischrged hrizntlly nd the density difference t dischrge depth fr wet nd dry wether were.6 nd.5 gcm -3,respectively (Iscsn et l., 1978, Iscsn et l., 1983). RESULTS AND DISCUSSION 15 test cses f wet wether nd 7 test cses f dry wether in unstrtified cnditins were chsen t simulte with VISJET nd CORIX, since CORIX hs limittin f predicting initil dilutin in strtified cnditin ( the depth f strtified lyer in CORIX is limited between.h t.9h). Predicted dilutin by CORIX nd VISJET mdels nd lbrtry dt in bth wet nd dry cnditins re listed in Tble 1 nd, respectively. Tble 1: Results f lbrtry experiment nd predicted dilutin btined frm CORIX nd VISJET,(Wet wether). Test Number Prt Dimeter Diffuser Length Dischrge d Depth Current Velcity (ms -1 ) esured Lbrtr y Dilutin CORIX Predicted Dilutin VISJET Predicte d Dilutin * * cunter-current dischrge 6-131

4 Diffuse Pllutin Cnference Dublin 3 ECSA 7 ixing/delling: Tble : Results f lbrtry experiment nd predicted dilutin btined frm CORIX nd VISJET.(Dry wether). Test Number Prt Dimete r Diffuser Length Dischrge d Depth Current Velcity (ms -1 ) esured Lbrtr y Dilutin CORIX Predicted Dilutin VISJET Predicte d Dilutin Cmp risn f lbrtry study nd tw mixing zne mdel indictes tht bth mdel re reltively in gd greement with experimentl dt. The results f CORIX in wet nd dry cnditin hd n verge +6.5% nd -13% errrs, respectively. Stndrd devitins fr CORIX predictins were ls 7% nd 9.7% fr wet nd dry wether, respectively. The predicted results f CORIX mdel fr dry wether is well supprted regrding ±5% errr stipulted by the mdel. In the stgnnt cnditin, CORIX is nt ble t predict plume dilutin prperly when the nzzles re rrnged ginst ech ther (Cse numbers 5 nd 8). Hwever in this cnditin VISJET mdel perfrmed well. Dilutin predicted by VISJET hd n verge -13% nd +.8% errrs fr wet nd dry wether, resp ectively. Stndrd devitins f VISJET mdel predictin re % nd 1% fr wet nd dry cnditins, respectively. Initil dilutin btined frm lbrtry experiment, CORIX nd VISJET re shwn in Figure. Dilutin Test Numer (Wet wether) Dilutin Test Number (Dry wether) Figure : Cmprisn f bserved nd predicted minimum dilutin by VISJET nd CORIX fr Sn Frncisc Outflls; Dimnds () re the experimentl dt, Circles () re the VISJET results nd tringles () re the CORIX results. Cmprisn f CORIX nd VISJET utputs ginst lbrtry bservtins is illustrted in Figure

5 Diffuse Pllutin Cnference Dublin 3 ECSA 7 ixing/delling: 5 esurement Dilutin Predicted Dilutin Figure 3: Cmprisn f bserved nd predicted minimum dilutins ginst VISJET nd CORIX mdels. Circles () re the VISJET results nd tringles () re the CORIX results. SUARY AND CONCLUSIONS In this study, diffusers with clusters f prts re simulted with tw mixing zne mdels, length scle mdel (CORIX) nd n integrl type mdel (VISJET). Cmprisn f lbrtry dt nd numericl simultins indictes tht bth mdels hve gd crreltin with lbrtry dt. The results btined frm CORIX imply tht, in jet/plume regime, CORIX perfrm better thn VISJET wheres, in ner jet regime, CORIX results smetimes ver/under shts the mesured dilutins. REFERENCES Akr, P. J., nd Jirk, G. H., (1991). CORIX: n expert system fr hydrdynmic mixing zne nlysis f cnventinl nd txic multi-prt diffuser dischrges. U.S. Envirnmentl Prtectin Agency, Athens, G., EPA/6/3-91/73 Chu, P. C. K., Lee, J. H. W., nd Chu, V. H. (1999). Spreding f turbulent rund jet in c flw. J. Hydr. Eng., 15(), 193- Iscsn,. S., Kh, R. C. Y., nd Brks, N.H. (1978). Sectinl hydrulic mdeling study f plume behvir: Sn Frncisc Suthwest Ocen Outfll Prject, Prgress Reprt, Technicl emrndum N. 78-, W.. Keck Lbrtry f Hydrulics nd Wter Resurces, Clifrni Institute f Technlgy, Psden, Clif.. Iscsn,. S., Kh, R. C. Y., nd Brks, N.H. Plume dilutin fr diffusers with multi-prt risers. J. Hydr. Eng., 19(), Jirk, G. H. nd Dneker, R. L. (1991).Hydrdynmic clssifictin f submerged single-prt dischrge. J. f Hyd. Eng., 117(), Lee, J. H. W., Cheung, V., Wng, W. P. nd Cheung, S. K. B. (). Lgrngin mdeling nd visuliztin f rsette utfll plumes. Prc. Hydrdynmics, Lw, July 3-7. Tsnis, I. K., nd Vle, C. (199). Cmprisn f ner-field mixing zne mdels fr multi prt diffusers in the Gret Lkes. Cn. J. Civ. Eng., 1, Vle, C. nd Tsnis, I. K, (1996). Tw cse studies f dilutin mdels pplied t therml dischrges. Cn. J. Civ. Eng., 3, Wn Se, I. I., Kim, H. S., Yu, D. nd Kim, D. S. (1). Perfrmnce f Tee diffusers in shllw wter with crss flw. J. f Hydr Eng,.,3, Wright, S.J. (1977).en behvir f buynt jets in crss flw. Jurnl f Hyd Eng., 13(5), Zker, N., Imberger, J., Pttirtchi, C.,(1). Dispersin f n effluent plume in shllw cstl re. J. rine Envir. Eng., 6,

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