Effects of Rough Boundaries on Rayleigh–Bénard Convection in Nanofluids

IF 1.9 4区工程技术 Q2 ENGINEERING, MECHANICAL Journal of Heat Transfer-transactions of The Asme Pub Date : 2023-02-06 DOI:10.1115/1.4056661

H. Firdose, P. Siddheshwar, Ruwaidiah Idris

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引用次数: 2

Abstract

A linear stability analysis of Rayleigh–Bénard convection in a Newtonian nanofluid is carried out using most general boundary conditions. A single-phase description of nanofluids is adopted in the study. The nanofluids used for the study are water–alumina and water–copper nanofluids in order to analyze how a choice between them can be made. The values of thermophysical quantities of nanofluids are calculated using the mixture theory and phenomenological-laws. The paper applies the Maclaurin series in solving the boundary-eigenvalue-problem through a simple and innovative approach. A single-term Galerkin technique is adopted to obtain the guess value of the critical Rayleigh number and the wave number. Further, improved values of the Rayleigh number and the wave number are obtained using the solution of a system of three linear-algebraic equations. A detailed discussion is made on the effect of rough-boundaries and Robin-boundary conditions for temperature on the onset of convection. A comparative study between the results of two nanofluids is made and the destabilizing effect of nanoparticles in the Newtonian carrier-fluid on the onset of convection is studied.

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粗糙边界对纳米流体中瑞利-巴姆纳德对流的影响

采用最一般的边界条件，对牛顿纳米流体中瑞利-巴姆纳德对流进行了线性稳定性分析。研究中采用了纳米流体的单相描述。研究中使用的纳米流体是水-氧化铝和水-铜纳米流体，以便分析如何在它们之间做出选择。利用混合理论和现象学定律计算了纳米流体的热物理量。本文通过一种简单而新颖的方法，将麦克劳林级数应用于求解边界特征值问题。采用单项伽辽金技术获得临界瑞利数和波数的猜测值。进一步，利用三个线性代数方程组的解，得到了瑞利数和波数的改进值。详细讨论了温度的粗糙边界和罗宾边界条件对对流发生的影响。对两种纳米流体的结果进行了对比研究，并研究了纳米颗粒在牛顿载流中对对流发生的不稳定作用。

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

Journal of Heat Transfer-transactions of The Asme 工程技术-工程：机械

自引率

0.00%

发文量

182

审稿时长

4.7 months

期刊介绍： Topical areas including, but not limited to: Biological heat and mass transfer; Combustion and reactive flows; Conduction; Electronic and photonic cooling; Evaporation, boiling, and condensation; Experimental techniques; Forced convection; Heat exchanger fundamentals; Heat transfer enhancement; Combined heat and mass transfer; Heat transfer in manufacturing; Jets, wakes, and impingement cooling; Melting and solidification; Microscale and nanoscale heat and mass transfer; Natural and mixed convection; Porous media; Radiative heat transfer; Thermal systems; Two-phase flow and heat transfer. Such topical areas may be seen in: Aerospace; The environment; Gas turbines; Biotechnology; Electronic and photonic processes and equipment; Energy systems, Fire and combustion, heat pipes, manufacturing and materials processing, low temperature and arctic region heat transfer; Refrigeration and air conditioning; Homeland security systems; Multi-phase processes; Microscale and nanoscale devices and processes.