A consistent framework to study the flow of a Newtonian fluid in a narrow charged slit, in the presence of imposed external electric and magnetic fields is presented here. We separately consider cases of externally imposed fields and fields induced as a result of purely pressure driven flows. It is established that the 3-dimensional nature of the Lorentz forces acting on the fluid inevitably leads to a multi-dimensional flow field, wherein pressure gradient and electric fields are induced along the width of the confinement to conserve mass and current flux. These induced fields and gradients are strongly coupled to each other and also depend on the surface charge density as well as the applied magnetic field strength. We argue that such complex multi-dimensionality, intrinsic to the problem, has not been taken into account by most of the previous studies. Our analysis depicts that consideration of the 3-dimensional Lorentz forces reveals a number of non-trivial features, particu...

中文翻译：

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狭缝中电磁流体动力流的一致描述

本文介绍了在存在外部电场和磁场的情况下研究牛顿流体在狭窄带电狭缝中流动的一致框架。我们分别考虑了外部施加的场和纯压力驱动流引起的场的情况。可以确定的是，作用在流体上的洛伦兹力的3维性质不可避免地导致产生多维流场，其中沿限制区域的宽度感应出压力梯度和电场，以节省质量和电流。这些感应场和梯度彼此紧密耦合，并且还取决于表面电荷密度以及所施加的磁场强度。我们认为，问题固有的这种复杂的多维性 以前的大多数研究都没有考虑到这一点。我们的分析表明，对3维洛伦兹力的考虑揭示了许多非平凡的特征，特别是...