在输送简化的Phan-Thien-Tanner流体的顺应性电渗泵中与负载相关的泰勒色散
Load-dependent Taylor dispersion in a compliant electroosmotic pump conveying a simplified Phan-Thien-Tanner fluid
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中文总结 AI 辅助
研究在顺应性狭缝微通道中输送简化Phan-Thien-Tanner流体时的电渗泵送和溶质色散，建立耦合模型，考虑多种因素得出通量关系等，确定平衡压力输送与分离性能的条件。
中文摘要 AI 辅助
我们针对无溶剂简化的Phan-Thien-Tanner流体在顺应性狭缝微通道中的电渗泵送和被动溶质色散建立了一个耦合模型。沿着有限通量泵特性自洽地评估压力、壁变形、轴向场、速度和色散。润滑理论、德拜-休克尔静电学、弹性基础壁定律和泰勒-阿里斯宏观输运得出了电渗和压力驱动联合作用的封闭形式通量关系。由于剪切速率与总剪应力的立方相关，两种作用不能叠加。通量随压力梯度单调减小，确保在规定通量下有唯一的反演。电流守恒将轴向场与恒流和恒压操作下的变形间隙耦合起来。在无压力流动中，使电双层变薄会产生塞状分布，牛顿泰勒系数随德拜参数的平方反比衰减。在水力负载下，不利的压力梯度驱动剪切核心逆流，在薄双层极限中持续存在，导致系数接近有限平稳值。在固定的非零通量下，电渗和压力驱动剪切之间的部分抵消在有限双层厚度处产生最大塔板数。这种最优是有条件的：对通量和双层厚度进行联合优化会使整体最优向自由流动、薄双层操作转移。粘弹性可增强或抑制负载色散，而顺应性会改变泵特性和分离最优值。布朗动力学验证了简化模型。由此产生的负载分辨率关系确定了平衡压力输送和分离性能的条件。
英文摘要
We develop a coupled model for electroosmotic pumping and passive-solute dispersion of a solvent-free simplified Phan-Thien-Tanner fluid in a compliant slit microchannel. Pressure, wall deformation, axial field, velocity, and dispersion are evaluated self-consistently along the finite-throughput pump characteristic. Lubrication theory, Debye-Huckel electrostatics, an elastic-foundation wall law, and Taylor-Aris macrotransport yield a closed-form flux relation for combined electroosmotic and pressure-driven forcing. Because the shear rate depends cubically on the total shear stress, the two contributions cannot be superposed. The flux decreases monotonically with pressure gradient, ensuring a unique inversion at prescribed throughput. Current conservation couples the axial field to the deformed gap under constant-current and constant-voltage operation. In pressure-free flow, thinning the electric double layer produces a plug-like profile and the Newtonian Taylor coefficient decays as the inverse square of the Debye parameter. Under hydraulic loading, an adverse pressure gradient drives a sheared core counterflow that persists in the thin-double-layer limit, causing the coefficient to approach a finite plateau. At fixed nonzero throughput, partial cancellation between electroosmotic and pressure-driven shear yields a maximum plate number at finite double-layer thickness. This optimum is conditional: joint optimization over throughput and double-layer thickness shifts the overall optimum toward free-flow, thin-double-layer operation. Viscoelasticity can enhance or suppress loaded dispersion, while compliance shifts the pump characteristic and separation optimum. Brownian dynamics validates the reduced model. The resulting load-resolution relation identifies conditions that balance pressure delivery and separation performance.
