Abstract
In this study, kinetic parameters were determined for the biodegradation of BTX compounds in a fixed-bed reactor with immobilized biomass, fed with mono- and multicomponent systems. The parameter estimation was achieved through an algorithm using the finite volume method. Different kinetic models were evaluated. The Monod model proved to be suitable to predict the experimental data for the biodegradation individual BTX compound. In multicomponent systems, it was found that the presence of more than one compound tends to cause competitive inhibition. To identify the models that best fit the experimental data, a statistical analysis using the F test was applied. For the two- and three-component systems the presence of more than one compound tends to cause competitive inhibition. In this study, it was possible to predict kinetic parameters in mono- and multicomponent systems as well as different operation conditions for a fixed-bed reactor with immobilized biomass.
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Abbreviations
- \(a_{{v\left| {\gamma \kappa } \right.}}\) :
-
Surface area per unit volume in the micro-scale (1/m)
- \(a_{{v\left| {\gamma \kappa } \right.}} u_{m,i}\) :
-
Maximum reaction rate of species \(i\) (mg/L.s))
- \(C_{m}^{\rm{num}}\) :
-
Numerical concentration at point \(m\) (mg/L)
- \(C_{m}^{\rm{exp}}\) :
-
Experimental concentration at point \(m\) (mg/L)
- \(C_{i,0}\) :
-
Feed concentration of species \(i\) (mg/L)
- \(\left\{ {C_{i} } \right\}\) :
-
Average concentration of species \(i\) (mg/L)
- \(\left\{ {C_{j} } \right\}\) :
-
Average concentration of species \(j\) (mg/L)
- \(d_{p}\) :
-
Bioparticle diameter (m)
- \(d_{s}\) :
-
Support diameter (m)
- \(D^{*}\) :
-
Macro-scale total dispersion coefficient (m2/s)
- \(D_{\beta }\) :
-
Molecular diffusivity of chemical species \(i\) in phase \(\beta\) (m2/s)
- \(F_{C}\) :
-
Tabulated \(C\) value
- \(F_{T}\) :
-
Tabulated \(F\) value
- \(Q\) :
-
Volumetric flow rate (mL/min)
- \(K_{{S_{i} }}\) :
-
Half-saturation constant of species \(i\) (mg/L)
- \(K_{{S_{j} }}\) :
-
Half-saturation constant of species \(j\) (mg/L)
- \(L\) :
-
Bed length (m)
- \(m\) :
-
Sampling point in the reactor
- \(M_{B}\) :
-
Molecular weight of the solvent (g/mol)
- \(n\) :
-
Number of experimental points
- \(p\) :
-
Number of adjusted parameters
- \(r_{i}^{m}\) :
-
Reaction rate relative to chemical species \(i\) (mg/(L.s))
- \(S^{2} R\) :
-
Variance
- \(S^{2} R_{\left( A \right)}\) :
-
Variance of model A
- \(S^{2} R_{\left( B \right)}\) :
-
Variance of model B
- \(R^{2}\) :
-
Correlation coefficients
- \(T\) :
-
Corresponding temperature (K)
- \(t\) :
-
Time (s)
- \(u_{m,i}\) :
-
Maximum reaction rate (1/s)
- \(V_{A}\) :
-
Molar volume of the solute (cm3/mol)
- \(v_{\beta }\) :
-
Intrinsic average velocity of fluid inside the bioreactor (m/s)
- \(z\) :
-
Bed axial position (m)
- \(\beta\) :
-
Macro-scale fluid phase
- \(\gamma\) :
-
Micro-scale fluid phase
- \(\delta\) :
-
Biofilm thickness (m)
- \(\varepsilon_{\beta }\) :
-
Macro-scale fluid phase porosity
- \(\varepsilon_{\gamma }\) :
-
Micro-scale fluid phase porosity
- \(\varepsilon_{\sigma }\) :
-
Micro-scale solid phase porosity
- \(\varphi\) :
-
Non-dimensional association factor corresponding to the solvent
- \(\mu_{B}\) :
-
Solvent viscosity (Pa.s)
- \(\sigma\) :
-
Macro-scale solid phase
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Acknowledgments
This research was support by the National Petroleum Agency—ANP, through the process 48610.002724/99-40.
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Mayer, D.A., de Souza, A.A.U., Fontana, E. et al. Kinetic study of biodegradation of BTX compounds in mono- and multicomponent systems in reactor with immobilized biomass. Bioprocess Biosyst Eng 39, 1441–1454 (2016). https://doi.org/10.1007/s00449-016-1622-9
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DOI: https://doi.org/10.1007/s00449-016-1622-9