FilmTec Technical Manual - Chester Paul Company

Table 3.10 Design equations for projecting RO system performance: system average performaceEquationItemEquationNumberTotal permeate flowΔP⎡C⎤ 20fcfcQ = NESEAπ( TCF )( FF) Pf− Pp− πf⎢ pf− ( 1 − R ) ⎥⎦2 ⎣ CfRatio: average concentrate-side tofeed concentration for systemCCfcf− R ( 1−Y/ YL)( 1−Y) ln( 1−Y/ Y )Limiting system recoveryπ ( pf )( R )Approximate log-mean concentratesideto feed concentration ratio forsystemAverage element recoveryYLCCfc( − R )ln 21= + 1Y −fLf= 1 −P − ΔPf Y , R = 1Lfc− Pp( −Y)ln 1= −Y1/( 1 ) nY i= 1−−YAverage polarization factorpf = EXP[ 0. 7 ]Average concentrate-side osmoticpressure for systemAverage concentrate-side systempressure drop for FILMTEC 8-inchelements; 2 stagesIndividual FILMTEC 8-inch element,or single-stage concentrate-sidepressure dropFILMTEC membrane permeabilityas a function of averageconcentrate-side osmotic pressurePermeate concentration⎛ Cπ = πi⎜⎝ CΔP fc =fcfY i⎟ ⎞pf⎠20.04qfc( Q /1440)⎡0.1⎤⎛1 ⎞ΔPfc = ⎢⎥⎜ + 1−Y⎟⎣ YNV2 ⎦⎝NVR⎠Δ P =AAAfc1.70.01nqfc( π) = 0.125;π ≤ 25( π) = 0.125− 0.011 ; 25 ≤ π ≤ 200L⎛ π − 25 ⎞⎜ ⎟⎝ 35 ⎠( π) = 0.070− 0.0001( π − 200) ; 200 ≤ π ≤ 400⎛ N SCp = BCfcpf TCF⎝ QE E ⎞( ) ⎜ ⎟⎠222324252627a,b,c28a,b,c29Page 91 of 180 ® Trademark of The Dow Chemical Company ("Dow") or an affiliated company of Dow Form No. 609-00071