Osmosis Inversa: Permeabilidad
La osmosis inversa es un fenómeno de transferencia de materia que permite obtener agua dulce desde agua con alto contenido de sales. Si bien para que esta transferencia ocurra se necesita incorporar grandes volúmenes de energía al sistema (en forma de presión hidráulica), el mecanismo que permite la ocurrencia de este fenómeno no es la fuerza bruta, sino la creación de un desbalance artificial donde se motiva al agua a moverse en una dirección contraria (inversa) a la que tomaría en una condición normal.
La matemática que explica este fenómeno se conoce como Ecuación de Permeabilidad (Ecuación 1), la cual sigue la misma estructura que una ecuación de transferencia típica.
Ecuación 1: Ecuación de permeabilidad.
Donde:
Producto: Caudal de agua permeada máximo obtenido de la combinación de la superficie disponible, la capacidad de la membrana para transferir y la fuerza impulsora presente. | |
Superficie: depende del diseño de la instalación y del tipo de membrana en seleccionado. | |
Coeficiente de transferencia de materia (permeabilidad): Corresponde a la capacidad de la membrana de producir agua en base a la presencia de una fuerza impulsora (NDP). Es una característica de la composición química y ha ido evolucionando a lo largo del tiempo. Las membranas modernas producen más agua en base a la misma fuerza impulsora. | |
Fuerza impulsora (NDP = Net Driving Pressure): Corresponde al componente que moviliza la transferencia de materia. Se calcula haciendo una sumatoria de las presiones que interactúan en el proceso. Las principales son la presión de alimentación (+) y la presión osmótica del agua (-), |
El NDP se refleja la energía realmente disponible para producir el movimiento de agua a través de la membrana, y su cálculo permite estimar la presión de alimentación requerida del sistema. Ésta debe ser capaz de vencer la presión osmótica, la presión que pueda requerir el permeado y la diferencia de presión (o pérdida de carga) que ocurre dentro del tubo de presión debido a la fricción que ofrecen las membranas.
Ecuación 2: Ecuación del NDP.
Un ejercicio interesante es analizar qué efectos tienen los cambios de ciertos componentes en la cantidad de agua permeada. La Tabla 1 muestra cuatro preguntas recurrentes en cualquier diseño y operación de plantas desaladoras:
Tabla 1: Sensibilización de la ecuación de permeabilidad.
Pregunta |
Componente que cambia |
Resultado |
||
1. | ¿Qué pasa si aumenta el número de membranas? |
Aumenta el área, aumentando la producción. |
||
2. | ¿Qué pasa si baja la presión de alimentación |
Disminuye la fuerza impulsora, disminuyendo la producción. |
||
3. | ¿Qué pasa si se cambian las membranas por las últimas del mercado? |
Mejora el coeficiente de transferencia de materia, aumentando la producción. |
||
4. | ¿Qué pasa si la concentración (TDS) de la alimentación baja? |
Disminuye la presión osmótica, aumentando la fuerza impulsora, aumentando la producción. |
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