Linear stability of Rayleigh-Bénard-Poiseuille flow of water near 4°C in a channel bounded by slip walls

IF 6.4 2区工程技术 Q1 MECHANICS

International Communications in Heat and Mass Transfer Pub Date : 2024-11-18 DOI:10.1016/j.icheatmasstransfer.2024.108370

Aymen Benbeghila , Riadh Ouzani , Ammar Benderradji , Zineddine Alloui , Sofiane Khelladi

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引用次数: 0

Abstract

The onset of mixed convection of cold water in a horizontal channel is studied using linear stability analysis. The two walls of the channel are modeled using slip conditions and are maintained at different constant temperatures. A model with a parabolic relationship is used to predict the variation of density with temperature in the range around its maximum density. The finite difference method is used to solve numerically the linearized equations, and the critical eigenvalue is obtained using the iterative Newton-Raphson method. The effects of the dimensionless temperature ratio γ and the slip parameter Ω on the onset of thermal instabilities are studied. The obtained results showed that these two parameters induced modifications in the critical Rayleigh number and the corresponding critical wavenumber. The results also indicated that beyond a certain value of dimensionless temperature ratio the slip parameter of the upper wall no longer influences the critical threshold for the onset of mixed convection.

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4°C 附近水流在以滑壁为界的水道中的瑞利-贝纳德-普伊耶线性稳定性

采用线性稳定性分析方法研究了冷水在水平水道中开始混合对流的情况。水道两壁采用滑移条件建模，并保持在不同的恒定温度下。采用抛物线关系模型预测最大密度附近范围内密度随温度的变化。采用有限差分法对线性化方程进行数值求解，并利用迭代牛顿-拉斐森法求得临界特征值。研究了无量纲温度比 γ 和滑移参数 Ω 对热不稳定性发生的影响。结果表明，这两个参数引起了临界瑞利数和相应临界波数的变化。结果还表明，超过一定的无量纲温度比值后，上壁的滑移参数不再影响混合对流开始的临界阈值。

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

International Communications in Heat and Mass Transfer 工程技术-力学

CiteScore

11.00

自引率

10.00%

发文量

648

审稿时长

32 days

期刊介绍： International Communications in Heat and Mass Transfer serves as a world forum for the rapid dissemination of new ideas, new measurement techniques, preliminary findings of ongoing investigations, discussions, and criticisms in the field of heat and mass transfer. Two types of manuscript will be considered for publication: communications (short reports of new work or discussions of work which has already been published) and summaries (abstracts of reports, theses or manuscripts which are too long for publication in full). Together with its companion publication, International Journal of Heat and Mass Transfer, with which it shares the same Board of Editors, this journal is read by research workers and engineers throughout the world.