Bandopadhyay Aditya, Chakraborty Suman
Advanced Technology Development Center, Indian Institute of Technology Kharagpur, Kharagpur-721302, India.
Phys Chem Chem Phys. 2015 Mar 21;17(11):7282-90. doi: 10.1039/c4cp05924g.
By considering an ion moving inside an imaginary sphere filled with a power-law fluid, we bring out the implications of the fluid rheology and the influence of the proximity of the other ions towards evaluating the conduction current in an ionic solution. We show that the variation of the conductivity as a function of the ionic concentration is both qualitatively and quantitatively similar to that predicted by the Kohlrausch law. We then utilize this consideration for estimating streaming potentials developed across narrow fluidic confinements as a consequence of the transport of ions in a convective medium constituting a power-law fluid. These estimates turn out to be in sharp contrast to the classical estimates of streaming potential for non-Newtonian fluids, in which the effect of rheology of the solvent is merely considered to affect the advection current, disregarding its contributions to the conduction current. Our results have potential implications of devising a new paradigm of consistent estimation of streaming potentials for non-Newtonian fluids, with combined considerations of the confinement effect and fluid rheology in the theoretical calculations.
通过考虑一个离子在充满幂律流体的假想球体内移动，我们揭示了流体流变学的影响以及其他离子的接近程度对评估离子溶液中传导电流的影响。我们表明，电导率随离子浓度的变化在定性和定量上都与科尔劳施定律预测的相似。然后，我们利用这一考虑因素来估计由于离子在构成幂律流体的对流介质中的传输而在狭窄流体限制内产生的流动电势。这些估计结果与非牛顿流体流动电势的经典估计形成了鲜明对比，在经典估计中，仅考虑溶剂流变学对平流电流的影响，而忽略其对传导电流的贡献。我们的结果对于设计一种新的范式具有潜在意义，该范式能够在理论计算中综合考虑限制效应和流体流变学，从而对非牛顿流体的流动电势进行一致的估计。
