Laboratoire Réactions et Génie des Procédés CNRS 1, rue Grandville 54001 Nancy, France.
J Occup Environ Hyg. 2011 May;8(5):279-88. doi: 10.1080/15459624.2011.567131.
The linear driving force (LDF) model is applied to predict the service life of activated carbon cartridges. It is compared with the currently used Wheeler-Jonas equation, which results from a model of chemical reaction kinetics. The LDF model is based on a mass transfer model of adsorbate into the particle. The two models are studied in constant-pattern conditions. The properties of the two models are first clarified and then compared. It is shown that the Wheeler-Jonas equation leads to symmetrical breakthrough curves, whereas the constant-pattern LDF equation results in asymmetrical curves. Thus, the curvature of the isotherm has no influence on the shape of the Wheeler-Jonas curve. For the LDF breakthrough curve, it is shown that the asymmetry increases with the curvature of the isotherm. Wheeler-Jonas can be used with a Dubinin-Raduskevitch isotherm, whereas the LDF model analytical solution is valid for a Langmuir isotherm only. The LDF model can be used with the DR isotherm, but a numerical solution is required. At very low concentrations where the isotherm is linear, the constant pattern no longer exists and both models fail. The Dubinin-Raduskevitch isotherm must be fitted with a Langmuir isotherm to use the analytical solution of the LDF model.
线性驱动力 (LDF) 模型用于预测活性炭筒的使用寿命。它与目前使用的惠勒-乔纳斯方程进行了比较，后者源自化学反应动力学模型。LDF 模型基于吸附质进入颗粒的传质模型。在恒模式条件下研究了这两个模型。首先澄清了这两个模型的性质，然后对它们进行了比较。结果表明，惠勒-乔纳斯方程导致对称的穿透曲线，而恒模式 LDF 方程导致不对称的曲线。因此，等温线的曲率对惠勒-乔纳斯曲线的形状没有影响。对于 LDF 穿透曲线，表明不对称性随等温线的曲率增加而增加。可以使用惠勒-乔纳斯方程与 Dubinin-Raduskevitch 等温线一起使用，而 LDF 模型解析解仅对 Langmuir 等温线有效。LDF 模型可与 DR 等温线一起使用，但需要数值解。在非常低的浓度下，等温线是线性的，恒模式不再存在，两个模型都失效。必须将 Dubinin-Raduskevitch 等温线拟合为 Langmuir 等温线，才能使用 LDF 模型的解析解。
