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Experimental Study of Biodegradation of Ethanol and Toluene Vapors

Experimental Study of Biodegradation of Ethanol and Toluene Vapors

Experimental Study of Biodegradation of Ethanol and Toluene Vapors

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The data sets used to evaluate the kinetic parameters through a least squares,<br />

nonlinear regression technique. The concentration pr<strong>of</strong>iles <strong>of</strong> the key components were<br />

calculated <strong>and</strong> the parameters were adjusted to minimize the sum <strong>of</strong> square <strong>of</strong><br />

differences between the experimental results <strong>and</strong> the simulated results from the derived<br />

model. The ordinary differential equations were solved for the concentration pr<strong>of</strong>iles <strong>of</strong><br />

the key components by applying the Runge-Kutta, 4 th order numerical procedure using<br />

the spreadsheet: EXCEL. The least squares <strong>of</strong> the differences between the experimental<br />

results <strong>and</strong> the simulated results were solved by the SOLVER function in the EXCEL<br />

program to obtain the optimum parameters. The optimum parameters for ethanol <strong>and</strong><br />

benzyl alcohol bioremediation obtained as such are given in Tables 5.1 <strong>and</strong> 5.2,<br />

respectively. The uncertainty was estimated using Monte Carlo method (See Section<br />

5.3.2). Applying the yield coefficients <strong>of</strong> ethanol <strong>and</strong> benzyl alcohol <strong>of</strong> 0.59 <strong>and</strong> 0.45 to<br />

Equations (5-15a) <strong>and</strong> (5-30a), one can obtain:<br />

δ = 0 .91±<br />

0.03<br />

(5-38)<br />

K = 2 .61±<br />

0.13<br />

(5-39)<br />

The error analysis for these two parameters (δ <strong>and</strong> K) is given in Appendix E.<br />

95

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