Chapter 4: Activated Sludge Modelling - IqTMA-UVa

Chapter 4: Activated Sludge Modelling - IqTMA-UVa Chapter 4: Activated Sludge Modelling - IqTMA-UVa

12.07.2015 Views

Solving the Exponential ModelBy solving dX/dt = µX :X t = X 0 exp(µ(t - t 0 ))Or ln(X t /X 0 ) = µ(t - t 0 )Doubling time t ½ at which X = 2X 0 ?t ½ = ln2/µ4

The Monod kinetic model = m S/(K s + S)r g = X = [ m S/(K s + S)]Xµ m = maximum specific growth rate (d -1 )K s = saturation or Monod constant (g l -1 )maxmax/2S = limiting substrate (g l -1 )r su = -r g /Y = X/Y = max SX/(Y(K s +S))KsSubstrate concentrationThe cell growth rate (and therefore the substrate removal rate) increaseswith the substrate concentration, up to a certain level when it stabilize at m . If the limiting substrate concentration is low: conditions of slow growth!5

The Monod kinetic model = m S/(K s + S)r g = X = [ m S/(K s + S)]Xµ m = maximum specific growth rate (d -1 )K s = saturation or Monod constant (g l -1 )maxmax/2S = limiting substrate (g l -1 )r su = -r g /Y = X/Y = max SX/(Y(K s +S))KsSubstrate concentrationThe cell growth rate (and therefore the substrate removal rate) increaseswith the substrate concentration, up to a certain level when it stabilize at m . If the limiting substrate concentration is low: conditions of slow growth!5

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