Stability examination of non-linear convection flow with partial slip phenomenon in a Riga plate channel

IF 1.3 4区工程技术 Q3 MECHANICS

Fluid Dynamics Research Pub Date : 2024-09-11 DOI:10.1088/1873-7005/ad73ff

Rakesh Kumar and Tanya Sharma

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Abstract

The present work examines the linear stability of non-linear convected flow inside a Riga plate channel. The channel is filled with hybrid nanoliquid and is under the novel influence of the partial slip phenomenon in the present scenario. The left domain of the channel is supported by the Riga sheet whereas the right part is bounded by a sheet of slippery nature. The stability model for this partial slip mechanism is developed in the form of an eigenvalue problem which is explored via the Chebyshev pseudospectral method in combination with the QZ-algorithm. It is reported that the convection forces in hybrid nanofluid are amplified with Riga magnetic number (Hr) under slip/no-slip assumptions. It is interestingly noted that the flow is destabilized by 11.47 with non-linear convection (Nc) when considering no-slip at the right-hand sheet. However, the stability region is enlarged with Nc by 9.53 in the presence of slip at the right-hand sheet. The partial-slip (γ) assumption in the channel decelerates the growth rate of disturbances. The increment in -nanoparticles over the fixed volume of -nanoparticles hampers the instability of the hybrid nanofluid mixture.

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里加板槽中带有部分滑移现象的非线性对流的稳定性检验

本研究探讨了里加板通道内非线性对流的线性稳定性。通道内充满了混合纳米液体，并且在当前情况下受到部分滑移现象的新影响。通道的左侧区域由里加板支撑，而右侧部分则以滑板为边界。这种部分滑移机制的稳定性模型是以特征值问题的形式建立的，并通过切比雪夫伪谱法结合 QZ 算法进行了探讨。据报告，在滑移/不滑移假设条件下，混合纳米流体中的对流力随里加磁数（Hr）而放大。值得注意的是，当考虑右侧片面无滑移时，非线性对流（Nc）会使流动失稳 11.47。然而，在右侧片面存在滑移的情况下，随着 Nc 的增加，稳定区域扩大了 9.53。通道中的部分滑移（γ）假设降低了扰动的增长率。在纳米粒子的固定体积上，纳米粒子的增加阻碍了混合纳米流体混合物的不稳定性。

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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来源期刊

Fluid Dynamics Research 物理-力学

CiteScore

2.90

自引率

6.70%

发文量

审稿时长

5 months

期刊介绍： Fluid Dynamics Research publishes original and creative works in all fields of fluid dynamics. The scope includes theoretical, numerical and experimental studies that contribute to the fundamental understanding and/or application of fluid phenomena.