ENV-00 · laboratory
Streeter–Phelps, settling, ADM1 snapshot, Guldberg–Waage kinetics.
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37 governing sheets
DO deficit from first-order BOD and reaeration.
River qualityvs = g (ρs−ρ) d² /(18 μ) for a laminar sphere.
SedimentationLt = L0 e^{−k t}.
Kineticsμ = μm S /(Ks + S), the ADM1 snapshot of microbial growth.
BiokineticsK = [C]^c [D]^d / ([A]^a [B]^b) at equilibrium.
EquilibriumC = Q /(π u σy σz) exp(−H² /(2 σz²)) at y = 0.
Air qualityC = C0 /(1 + k τ) in an ideal CSTR.
ReactorspH = pKa + log10([A−]/[HA]).
Acid–basevs = g (ρs−ρ) d² /(18 μ) for a laminar sphere.
SedimentationK = [C]^c [D]^d / ([A]^a [B]^b) at equilibrium.
Kineticsμ = μm S/(Ks+S) · KI/(KI+I). Monod with non-competitive inhibition.
BiokineticsLt = L0 e^{−k t}. Carbonaceous BOD as a first-order decay.
Water qualityD = [kd La/(ka−kd)](e^{−kd t}−e^{−ka t})+D0 e^{−ka t}. Classic sag.
Water qualityC = Q /(π u σy σz) exp(−H² /(2 σz²)) at y = 0.
Air qualityr = 1 + 0.38 a b H (1−0.11 H)(1+0.046 T). Deficit ratio across a weir.
Water qualityΔP/L = 180 μ (1−ε)² u /(dp² ε³). Laminar packed-bed headloss.
Filtrationqe = Kf Ce^{1/n}. Empirical adsorption on heterogeneous sites.
Adsorptionqe = qmax b Ce /(1 + b Ce). Monolayer on uniform sites.
AdsorptionC = C0 exp(−k x / U). Advection plus first-order decay, WASP snapshot.
Water qualityTH = 2.497 [Ca] + 4.118 [Mg] in mg/L as CaCO3.
Water chemistryAlk = [HCO3−] + 2[CO3²−] + [OH−] − [H+] in meq/L.
Water chemistryC:N:P = 106:16:1 (molar) in marine phytoplankton. Nutrient demand follows.
Biokineticsμ = μm S /(Ks + S). Hyperbolic microbial growth.
BiokineticsC(t) = Cs − (Cs−C0) e^{−KLa t}. Two-film aeration.
Water qualityN/N0 = exp(−k C^n t). Chick first-order with Watson concentration power.
KineticsJ = −D (C2−C1)/Δx. Steady one-dimensional diffusion.
Water qualityReaeration-only deficit decay.
GoverningEmpirical pipe friction.
GoverningGround-level Gaussian centreline.
GoverningSimple expansion of an hourly count.
GoverningTrapezoidal weir discharge.
GoverningClarifier surface overflow.
GoverningReactor mean residence time.
GoverningActivated-sludge loading.
GoverningMean cell residence time.
GoverningEquivalent CaCO3 hardness.
GoverningdD/dt = k_d L − k_a D. Deficit D between saturation and DO.
Water quality