Phenomenon

Hypotheses

Equations

Heat transfer

· heat transfer by conduction

$\partial T/\partial t=D_T\Delta T$ (2)

Mass transfer Iron expulsion in the juice

· No iron expulsion through evaporation

· Simplified mass transfer model of [35]

· HI and NHI soluble in juice

· C_Fe varies with time and is equal to its local concentration in the meat

${\left(\frac{\partial C_{\text{Fe}}}{\partial t}\right)}_{exp}=-k_{exp}\left(T,d\right)\left(\frac{X-X_{eq}\left(T\right)}{1+X_0}\right)C_{\text{Fe}}$ (3)

$k_{exp}\left(T,d\right)=A_j{d}^{B_j}\exp \left(\frac{-E_{aj}}{RT}\right)$ (4)

Reaction

Conversion of HI into NHI

· HI conversion into NHI follows a first order kinetics

· Thermal conversion occurs at the same rate in extracted meat juice and meat

· Rate constant of this reaction depends on the local T using Arrhenius relation

${\left(\frac{\partial C_{\text{Fe}}}{\partial t}\right)}_{conv}=-k_{conv}{C}_{\text{HI}}$ (5)

$k_{conv}=k_0\exp \left(\frac{-E_a}{RT}\right)$ (6)