Electrokinetically modulated flow through a hydrophobic microtube embedded in a Darcy–Forchheimer porous medium is investigated in this paper. The steric effect has been taken into account in the electrical double layer (EDL) region. Heat transfer is analysed in the case of Darcy–Forchheimer–Brinkman flow subject to Joule heating. The flow is supposed to take place under the combined influence of electroosmosis and imposed pressure gradient. The governing nonlinear partial differential equations for electric potential, fluid flow and heat transfer are solved numerically by developing an iterative finite difference method that has second order accuracy. The thermal efficiency is discussed under the purview of the second law of thermodynamics. Influences/impact of different physical parameters on velocity, temperature and entropy are investigated and demonstrated graphically. The paper shows that with an increase in the steric effect, the electrokinetic velocity diminishes and that thermal irreversibility is very high in the electrical double layer region, but it reduces drastically in the neighbourhood of the central region of the microtube. Results of the study are likely to be of profuse interest in the design and development of microfluidic devices that deal with critical types of fluid transport mechanism in non-Darcian porous media.

中文翻译：

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受规定热通量影响的微流体管中达西-福希海默-布林克曼电动流动过程中的温度分布和熵产生

本文研究了通过嵌入 Darcy-Forchheimer 多孔介质中的疏水微管的电动调制流。在双电层 (EDL) 区域中已经考虑了空间效应。在受焦耳加热的 Darcy-Forchheimer-Brinkman 流的情况下分析传热。该流动应该在电渗和施加的压力梯度的共同影响下发生。通过开发具有二阶精度的迭代有限差分方法，对用于电势、流体流动和传热的控制非线性偏微分方程进行了数值求解。热效率是在热力学第二定律的范围内讨论的。不同物理参数对速度的影响/影响，温度和熵被研究并以图形方式证明。该论文表明，随着空间效应的增加，电动速度降低，双电层区域的热不可逆性非常高，但在微管中心区域附近急剧降低。该研究的结果可能对处理非达西多孔介质中关键类型的流体传输机制的微流体装置的设计和开发产生浓厚的兴趣。