We discuss the entropy generation minimization for electro-osmotic flow of a viscoelastic fluid through a parallel plate microchannel under the combined influences of interfacial slip and conjugate transport of heat. We use in this study the simplified Phan-Thien–Tanner model to describe the rheological behavior of the viscoelastic fluid. Using Navier’s slip law and thermal boundary conditions of the third kind, we solve the transport equations analytically and evaluate the global entropy generation rate of the system. We examine the influential role of the following parameters on the entropy generation rate of the system, viz., the viscoelastic parameter (eDe2), Debye–Huckel parameter κ ¯ , channel wall thickness (δ), thermal conductivity of the wall (γ), Biot number (Bi), Peclet number (Pe), and axial temperature gradient (B). This investigation finally establishes the optimum values of the abovementioned parameters, leading to the minimum entropy generation of the system. We believe that results of thi...

中文翻译：

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双电层现象下粘弹性流体电驱动微流中热力学不可逆性的最小化

我们讨论了在界面滑移和热共轭传输的共同影响下，粘弹性流体通过平行板微通道的电渗流的熵生成最小化。我们在本研究中使用简化的 Phan-Thien-Tanner 模型来描述粘弹性流体的流变行为。使用纳维尔滑移定律和第三类热边界条件，我们解析地求解输运方程并评估系统的全局熵生成率。我们检查了以下参数对系统熵产生率的影响作用，即粘弹性参数 (eDe2)、德拜-哈克尔参数 κ¯ 、通道壁厚 (δ)、壁的热导率 (γ) , 比奥数 (Bi)、佩克莱特数 (Pe) 和轴向温度梯度 (B)。该研究最终确定了上述参数的最佳值，从而使系统的熵产生最小。我们相信这个结果...