Calculate membrane electrical resistance accurately. Optimize your electrochemical systems today.
Electrical resistance in a diffusion membrane plays a critical role in determining the efficiency of electrochemical systems such as fuel cells, batteries, and separation units. The performance of these systems depends heavily on minimizing ionic and electrical losses across the barrier.
The core calculation utilizes modified Pouillet's law for porous media. The effective conductivity ($\sigma_{eff}$) is scaled using porosity ($\epsilon$) and tortuosity ($\tau$):
$$\sigma_{eff} = \sigma \cdot \left(\frac{\epsilon}{\tau}\right)$$
The total electrical resistance ($R$) is then computed using the membrane thickness ($L$) and cross-sectional area ($A$):
$$R = \frac{L}{\sigma_{eff} \cdot A}$$
Tortuosity measures the complexity of the pathways ions must travel, which directly impedes uniform current flow.
Higher temperatures typically increase intrinsic conductivity, thereby lowering the total internal resistance of the system.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.