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23.7.2 Unidirectional Constant Rate Mass Transfer

The unidirectional mass transfer model defines a positive mass flow rate per unit volume from phase $p$ to phase $q$:

 \dot{m_{pq}} = \max[0, \lambda_{pq}] - \max[0, -\lambda_{pq}] (23.7-9)


 \lambda_{pq} = \dot{r} \alpha_p \rho_q (23.7-10)

and $\dot{r}$ is a constant rate of particle shrinking or swelling, such as the rate of burning of a liquid droplet. This is not available for the VOF model.

If phase $p$ is a mixture material and a mass transfer mechanism is defined for species $i$ of phase $p$, then

 \lambda_{pq} = \dot{r} \alpha_p y_{\rm p, i} \rho_q (23.7-11)

where $y_{\rm p, i}$ is the mass fraction of species $i$ in phase $p$.

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