Purpose

This paper aims to investigate the hydrodynamic instability properties of a mixed convection flow of nanofluid in a porous channel.

Design/methodology/approach

The treated single-phase nanofluid is a suspension consisting of water as the working fluid and alumina as a nanoparticle. The anisotropy of the porous medium and the effects of the inclination of the magnetic field are highlighted. The effects of viscous dissipation and thermal radiation are incorporated into the energy equation. The eigenvalue equation system resulting from the stability analysis is processed numerically by the spectral collocation method.

Findings

Analysis of the results in terms of growth rate reveals that increasing the volume fraction of nanoparticles increases the critical Reynolds number. Parameters such as the mechanical anisotropy parameter and Richardson number have a destabilizing effect. The Hartmann number, permeability parameter, magnetic field inclination, Prandtl number, wave number and thermal radiation parameter showed a stabilizing effect. The Eckert number has a negligible effect on the growth rate of the disturbances.

Originality/value

Linear stability analysis of Magnetohydrodynamics (MHD) mixed convection flow of a radiating nanofluid in porous channel in presence of viscous dissipation.

中文翻译：

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存在粘性耗散的多孔通道中辐射纳米流体的 MHD 混合对流的线性稳定性分析

目的

本文旨在研究多孔通道中纳米流体混合对流流动的流体动力学不稳定性特性。

设计/方法论/途径

处理后的单相纳米流体是由作为工作流体的水和作为纳米颗粒的氧化铝组成的悬浮液。强调了多孔介质的各向异性和磁场倾斜的影响。粘性耗散和热辐射的影响被纳入能量方程中。稳定性分析得到的特征值方程组采用谱配法进行数值处理。

发现

对生长速率结果的分析表明，增加纳米粒子的体积分数会增加临界雷诺数。机械各向异性参数和理查森数等参数具有不稳定作用。哈特曼数、磁导率参数、磁场倾角、普朗特数、波数和热辐射参数均表现出稳定作用。埃克特数对扰动增长率的影响可以忽略不计。

原创性/价值

存在粘性耗散的多孔通道中辐射纳米流体的磁流体动力学 (MHD) 混合对流的线性稳定性分析。