A comparative analysis of the efficacy of zero-order, first-order and Monod kinetic models in representing raw aerobic biodegradation data
Department of Chemical Engineering, Chemistry and Environmental Science
Master of Science
Armenante, Piero M.
Regression Analysis--Data Processing
A total of 148 raw aerobic biodegradation data sets from batch and continuous stirred-tank reactors were extracted from the open literature and previous NJIT MS theses. Kinetic analysis of each of these data sets was performed with respect to the following commonly used empirical models: (1) zero-order, (2) first-order, and (3) Monod. Two constant-biomass versions of each model were evaluated; one in which So (i.e., the boundary condition for substrate concentration at time equal to zero) was assumed to be equal to the measured value of the initial substrate concentration and the other in which So was treated as a regressable parameter. Where adequate biomass concentration data were available, variable-biomass versions of each model, in which So was assumed to be equal to the initial substrate concentration, were also evaluated. Each data set was categorized within one of nine different biodegradation data types and discussed with respect to the advantages and disadvantages of each model evaluated for the given data type. Model selection recommendations were given for each data type.
A theoretical analysis of the effects of variations in raw biodegradation data on the corresponding regression results was performed for the constant- and variable-biomass models. The effects of random experimental error, number of data points, sampling regularity and substrate concentration range were evaluated. The impact of erroneous models on reactor sizing was also demonstrated.
njit-etd1991-010 (480 pages ~ 23,246 KB pdf)
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Front Matter (Title Page, Table of Contents, etc. ~ 6 pages ~ 193 KB pdf)
Chapter 1: Abstract (2 pages ~ 93 KB pdf)
Chapter 2: Introduction (2 pages ~ 91 KB pdf)
Chapter 3: Scope (3 pages ~ 110 KB pdf)
Chapter 4: Theory (8 pages ~ 353 KB pdf)
Chapter 5: Literature Search (3 pages ~ 117 KB pdf)
Chapter 6: Discussion of Regression Analysis Results (133 pages ~ 10,231 KB pdf)
Chapter 7: Analysis of the Effect of Experimental Error in Biodegradation Data on Kinetic Model Selection (25 pages ~ 1,877 KB pdf)
Chapter 8: Potential Benefits from Proper Model Selection (9 pages ~ 402 KB pdf)
Chapter 9: Conclusions (11 pages ~ 517 KB pdf)
Chapter 10: References (2 pages ~ 96 KB pdf)
Appendix A: Mathematical Derivation of Kinetic Expressions for the Regression of Biodegradation Rate Constants from Batch Reactor Data (26 pages ~ 925 KB pdf)
Appendix B: Mathematical Derivation of Kinetic Expressions for the Regression of Biodegradation Rate Constants from Continuous Stirred-Tank Reactor Data (i.e. CSTR) (15 pages ~ 508 KB pdf)
Appendix C: Sample Hand Calculations and Lotus 123 Spreadsheets for the Regression of Batch Reactor Data (28 pages ~ 943 KB pdf)
Appendix D: Compilation of Regression Analysis Results for Aerobic Biodegradation Data from Literature Sources (90 pages ~ 2,556 KB pdf)
Appendix E: Compilation of Regression Analysis Results for Aerobic Biodegradation Data from Previous NJIT MS Theses (109 pages ~ 4,034 KB pdf)
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Created September 21, 2001