纳米流体饱和各向异性多孔层电流体动力不稳定性发生的振荡模式

IF 2.7 Q3 NANOSCIENCE & NANOTECHNOLOGY Journal of Nanofluids Pub Date : 2023-06-01 DOI:10.1166/jon.2023.2037
Veena Sharma, None Kavita, Anuradha Chowdhary
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引用次数: 0

摘要

本文采用修正的边界条件,在纳米颗粒体积分数可忽略的情况下,对含垂直交流电场的流变纳米流体饱和各向异性多孔层中振荡对流的起始进行了分析研究。利用Oldroyd模型描述了纳米流体的流变性能。采用Brinkman模型扩展的Darcy模型来描述固体基体的行为。所建立的包含电场的纳米流体模型将电泳的附加效应与热泳动的附加效应以及运动守恒方程中的布朗运动相结合。利用无穷小摄动、Boussinesq近似、正态技术和线性化稳定性理论,将偏微分方程简化为无量纲线性方程。对无应力边界条件下的特征方程进行了解析求解,确定了非振荡和振荡模态起始的瑞利数表达式。研究发现,在顶重/底重纳米粒子分布的情况下,振荡模式都存在。电瑞利数、热普朗特数和应力松弛参数均有提前,而布林克曼-达西数均可延迟静对流和振荡对流的发生。
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Oscillatory Modes on the Onset of Electrohydrodynamic Instability in Oldroydian Nanofluid Saturated Anisotropic Porous Layer
This work deals with an analytical study on the initiation of oscillatory convection in a rheological nanofluid saturating anisotropic porous layer with inclusion of vertical AC electric field using modified boundary conditions with negligible flux of volume fraction of nanoparticles. The rheological properties of the nanofluid are described using Oldroyd model. The Darcy model extended by Brinkman model is deployed to characterize the solid matrix behavior. The used model for nanofluid with inclusion of electric field integrates the additional effect of electrophoresis with that of thermophoresis and Brownian motion in the conservation equations of motion. The partial differential equations are simplified to non-dimensional linear equations using infinitesimal perturbations, Boussinesq approximation, normal mode technique and linearized stability theory. The characteristic equation is solved analytically for stress-free boundary conditions and the expressions for Rayleigh number of non-oscillatory and oscillatory modes initiation are determined. The oscillatory modes are found to occur for both the cases of top-/bottom-heavy nanoparticles distributions. The electric Rayleigh number, thermal Prandtl number and stress relaxation parameter advances whereas the Brinkman-Darcy number are found to delay initiation of both stationary and oscillatory convection.
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来源期刊
Journal of Nanofluids
Journal of Nanofluids NANOSCIENCE & NANOTECHNOLOGY-
自引率
14.60%
发文量
89
期刊介绍: Journal of Nanofluids (JON) is an international multidisciplinary peer-reviewed journal covering a wide range of research topics in the field of nanofluids and fluid science. It is an ideal and unique reference source for scientists and engineers working in this important and emerging research field of science, engineering and technology. The journal publishes full research papers, review articles with author''s photo and short biography, and communications of important new findings encompassing the fundamental and applied research in all aspects of science and engineering of nanofluids and fluid science related developing technologies.
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