**Nomenclature**


#### **Symbol Description**


$$\mathcal{W}\_{H\_G} = \kappa\_{L,H}(\mathbb{C}\_H - \mathbb{C}\_{H,L})$$

$$\frac{1}{K\_{L,H}} = \frac{1}{H\_H \mathbb{C} k\_G} + \frac{1}{k\_{L,H}}$$

$$\mathcal{C}\_H^\* = p\_H / H\_H$$

*vph* the transferred hydrogen flow through the liquid film, adjacent to the catalyst pellet, on to its' surface [5, 7]

$$\begin{aligned} \upsilon \eta h &= \frac{M\_{L,H}}{2K\_H} \Bigg[ \left( \frac{\boldsymbol{\nu} \cdot \boldsymbol{k}\_1 \cdot \boldsymbol{\eta}\_i}{M\_{L,H}} + \frac{K\_H \cdot \boldsymbol{p}\_H}{H\_H} + 1 \right) - \sqrt{\frac{\left( \boldsymbol{\nu} \cdot \boldsymbol{k}\_1 \cdot \boldsymbol{\eta}\_i}{M\_{L,H}} + \frac{K\_H \cdot \boldsymbol{p}\_H}{H\_H} + 1 \right)^2}{-4 \frac{K\_H}{M\_{L,H}} \cdot \frac{\boldsymbol{\nu} \cdot \boldsymbol{k}\_1 \cdot \boldsymbol{\eta}\_i \cdot \boldsymbol{p}\_H}{H\_H}} \\ \frac{1}{M\_{L,H}} &= \frac{1}{a\_\upsilon \cdot K\_{L,H}} + \frac{1}{a\_S \cdot k\_{S,H}} \end{aligned} $$

*ΔRHi* the reaction heat of reaction *i:1, 2* (kJ/kmol)

*pH* partial pressure of hydrogen in the convective zone of the gas phase [atm]

HH Henry's law constant (atm m3 /Kmol)
