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$$ | $$ | ||
− | \frac{\partial c_{X}(t)}{\partial t} = -\Phi_{L} \cdot c_{X}(t) + \frac{\ln{2} }{T_{X} \cdot c_{X}(t) | + | \frac{\partial c_{X}(t)}{\partial t} = -\Phi_{L} \cdot c_{X}(t) + \frac{\ln{2} }{T_{X}} \cdot c_{X}(t) |
$$ | $$ | ||
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The contamination expands if the flow rate \(\Phi_{L}\) is greater than the growth factor \(\frac{ln(2)}{t_{X} }\), | The contamination expands if the flow rate \(\Phi_{L}\) is greater than the growth factor \(\frac{ln(2)}{t_{X} }\), | ||
$$ | $$ | ||
− | c_{X}(t) > 0, \quad if \Phi_{L} > \frac{ln(2)}{t_{X} } | + | c_{X}(t) > 0, \quad if \quad \Phi_{L} > \frac{ln(2)}{t_{X} } |
$$ | $$ | ||
it remains constant if the flow rate is exactly the growth factor | it remains constant if the flow rate is exactly the growth factor | ||
$$ | $$ | ||
− | c_{X}(t) = 0, \quad if \Phi_{L} = \frac{ln(2)}{t_{X} | + | c_{X}(t) = 0, \quad if \quad \Phi_{L} = \frac{ln(2)}{t_{X} } |
− | + | ||
$$ | $$ | ||
and it diminishes, when the flow rate is higher than the growth factor. | and it diminishes, when the flow rate is higher than the growth factor. | ||
$$ | $$ | ||
− | c_{X}(t) \less 0, \quad if \Phi_{L} \less \frac{ln(2)}{t_{X } | + | c_{X}(t) \less 0, \quad if \quad \Phi_{L} \less \frac{ln(2)}{t_{X } } |
− | + | ||
$$ | $$ | ||
Revision as of 21:13, 27 October 2017
Modeling
Lagoon contamination
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