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F = ma
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r(t +#t) = r(t) + v(t)#t +12a(t)#t +…
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• 70*'',+*0.6&+B*$,+'.[34.*,M-*O<,-450B*
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V =Vbond +Vangle +Vtorsion +Velec +Vnon"bond
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CONVENIO DE COOPERACIÓNCONVENIO DE COOPERACIÓNTECNOLÓGICA 005 DE 2006TECNOLÓGICA 005 DE 2006
UIS- ICPUIS- ICP
DESARROLLO DE UN MODELO MATEMÁTICODESARROLLO DE UN MODELO MATEMÁTICOY DE SIMULACIÓN DEL PROCESO DEY DE SIMULACIÓN DEL PROCESO DE
BIODEGRADACIÓN DE FENOLBIODEGRADACIÓN DE FENOL
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(+,-./0*123-450-*DESCRIPCIÓN DEL SISTEMADESCRIPCIÓN DEL SISTEMA
Variables de Estudio• Biomasa• Fenol• Amonio• Sulfuro• Hidrocarburo
• pH• Oxígeno Inyectado• Oxígeno Disuelto
!Sistema en Continuo!Utiliza un consorcio microbiano "Pool especie Pseudomonas putida"
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Balances de Materia
MODELO MATEMÁTICOMODELO MATEMÁTICO
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(+,-./0*123-450-*MODELOS DE SIMULACIONMODELOS DE SIMULACION
Diagramas de Flujo
El conjunto de ecuaciones diferenciales ordinariasse resolvió inicialmente usando diferencias f initasde primer orden por el método de restas hacia laderecha, y posteriormente se utilizó el método deRunge-Kutta (grado 4) debido a la crecientecomplejidad del modelo. Todo esto fue resueltoutilizando Matlab 6.5.
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