Impact of Size Distribution of Cell Model on the Effective Thermal Conductivity of Saturated Porous Media

Correction to: Impact of Size Distribution of Cell Model on the Effective Thermal Conductivity of Saturated Porous Media

“…* Jianting Zhu jzhu5@uwyo.edu [1] to examine the maximum potential of pore size distribution impact, it should be clarified that the a value in Fig. 3 of [1] was a = 1 + (1 − ) −1∕3 − 1 , which means (a − 1)∕ (1 − ) −1∕3 − 1 = . In other words, the normalized starting value of y was directly related to the porosity.…”

“…After updating the results in Fig. 3 in [1], the root mean square errors (RMSEs) of model predictions compared to the experimental data are 2.1526, 1.8545, 1.4055, and 1.1990 for the uniform size cell model, CS = − 0.5657, CS = 0.0, and CS = respectively. In general, the model under-predicts the experimental results.…”

“…The author discovered that the temperature gradient expression involved an approximation in the cell model adopted in the original version [1] after its publication. This approximation resulted in an additional "ln" term in the effective thermal conductivity.…”

“…After using the exact expression for the temperature gradient, the cell model was the same as the classical Maxwell model [2]. In majority of thermal conductivity and porosity combinations, the cell model adopted in [1] is close to the Maxwell model. In a certain small range of combinations, the additional term could cause unexpected results [3].…”

“…However, the setup of the cell model is physically sound. Based on this new understanding, the starting model in [1] should be the Maxwell model. As a result of better understanding, some equations and results in [1] should be updated.…”