Analysis of entropy generation and MHD thermo‐solutal convection flow of Ellis nanofluid through inclined microchannel

Debabrata Das, O. D. Makinde, R. R. Kairi
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Abstract

This study investigates heat, mass transport, and entropy production in Ellis nanofluid flow through an inclined permeable microchannel, considering Navier's slip effects with convective boundary conditions. It incorporates nanoparticle's thermophoresis and Brownian motion effects under a transverse magnetic field, with fluid suction and injection at microchannel walls. Under appropriate physical assumptions, the problem is presented as nonlinear ordinary differential equations, which are later nondimensionalized. The MATLAB bvp4c solver is used for numerical solutions of the transformed equations. Graphical depictions in the study illustrate how various factors influence velocity, temperature, concentration, Bejan number, and entropy generation. Engineering parameters, affected by changes in critical factors, are presented in tabular format, including the skin friction coefficient, Nusselt number, and Sherwood number. Notably, the enhancement in Ellis fluid parameter has a dual effect, enhancing velocity and Bejan number in the microchannel's lower half, while reversing in the upper half. For the increment in Ellis parameter, the impact on Bejan number for 0.5 is significant and the effect on entropy production contrasts with that of Bejan number. This research offers practical insights for designing efficient microfluidic heat exchangers and developing advanced nanofluids for improved thermal performance while minimizing entropy generation. Additionally, it underscores the potential for innovation within the domain of microfluidics and nanomaterial‐driven heat transfer systems. Furthermore, it should be noted that the flow behavior of Ellis nanofluids within microchannels can closely replicate natural flow patterns found in biological systems, offering insights that could have numerous applications in biology and related fields.
埃利斯纳米流体在倾斜微通道中的熵生成和 MHD 热固性对流分析
本研究考虑了具有对流边界条件的纳维滑移效应,研究了流经倾斜可渗透微通道的埃利斯纳米流体中的热量、质量传输和熵的产生。它结合了纳米粒子在横向磁场下的热泳和布朗运动效应,以及微通道壁上的流体吸入和注入。在适当的物理假设条件下,该问题以非线性常微分方程的形式呈现,并在之后进行了无维化处理。MATLAB bvp4c 求解器用于对转换后的方程进行数值求解。研究中的图表说明了各种因素如何影响速度、温度、浓度、贝扬数和熵的产生。受关键因素变化影响的工程参数以表格形式呈现,包括表皮摩擦系数、努塞尔特数和舍伍德数。值得注意的是,埃利斯流体参数的增加具有双重效应,在微通道的下半部分会提高速度和贝扬数,而在上半部分则相反。对于埃利斯参数的增量,0.5 时对贝扬数的影响很大,而对熵产生的影响与贝扬数的影响形成鲜明对比。这项研究为设计高效的微流体热交换器和开发先进的纳米流体提供了实用的见解,从而在提高热性能的同时最大限度地减少熵的产生。此外,它还强调了微流体和纳米材料驱动的传热系统领域的创新潜力。此外,应该指出的是,Ellis 纳米流体在微通道内的流动行为可以近似复制生物系统中的自然流动模式,这为生物和相关领域的众多应用提供了启示。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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