Purpose

The purpose of this paper is to investigate the immiscible two-layer heat fluid flows in the presence of the electric double layer (EDL) and magnetic field. The effects of EDL, magnetic field and the viscous dissipative term on fluid velocity and temperature, as well as the important physical quantities, are examined and discussed.

Design/methodology/approach

The upper and lower regions in a horizontal microchannel with one layer being filled with a nanofluid and the other with a viscous Newtonian fluid. The nanofluid flow in the lower layer is described by the Buongiorno’s nanofluid model with passively controlled model at the boundaries. An appropriate set of non-dimensional quantities are used to simplify the nonlinear systems. The resulting coupled nonlinear equations are solved by using homotopy analysis method.

Findings

The present work demonstrates that increasing the EDL thickness and Hartmann number can restrain the fluid flow. The Brinkmann number has a significant role in the enhancement of heat transfer. It is also identified that the influence of EDL effects on microflow cannot be ignored.

Originality/value

The effects of viscous dissipation involved in the heat transfer process and the body force because of the EDL and the magnetic field are considered in the thermal energy and momentum equations for both regions. The detailed derivation procedure of the analytical solution for electrostatic potential is provided. The analytical solutions can lead to improved understanding of the complex microfluidic systems.

中文翻译：

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具有双电层效应和磁场的水平微通道中的两层纳米流体流动和传热

目的

本文的目的是研究在双电层 (EDL) 和磁场存在下不混溶的两层热流体流动。检查和讨论了 EDL、磁场和粘性耗散项对流体速度和温度以及重要物理量的影响。

设计/方法/方法

水平微通道中的上部和下部区域，一层填充纳米流体，另一层填充粘性牛顿流体。下层的纳米流体流动由 Buongiorno 的纳米流体模型描述，在边界处具有被动控制模型。一组适当的无量纲量用于简化非线性系统。利用同伦分析法求解得到的耦合非线性方程组。

发现

目前的工作表明，增加 EDL 厚度和哈特曼数可以抑制流体流动。布林克曼数在增强传热方面具有重要作用。还确定了 EDL 效应对微流的影响不容忽视。

原创性/价值

在这两个区域的热能和动量方程中，考虑了热传递过程中的粘性耗散和 EDL 和磁场引起的体力的影响。给出了静电势解析解的详细推导过程。分析解决方案可以提高对复杂微流体系统的理解。