Rayleigh-Bénard-Marangoni Convection of Mono and Hybrid Nanoliquids in an Inclined Plane and Solution by Shooting Method

IF 2.7 Q3 NANOSCIENCE & NANOTECHNOLOGY

Journal of Nanofluids Pub Date : 2023-10-01 DOI:10.1166/jon.2023.2062

M. Gayathri, S. Pranesh, P. Siddheshwar

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Abstract

Unprecedented study on Rayleigh-Bénard-Marangoni convection in mono and hybrid nanoliquids in a region confined between two infinite inclined parallel planes. Linear stability analysis is conducted to investigate the stability of longitudinal and transverse rolls. The shooting method is used to obtain the eigenvalues of the boundary value problem with complex coefficients in the case of four different boundary conditions. The inclination angle is chosen in the range [0, 45] and the Rayleigh number is chosen in such a way that the critical Rayleigh number is greater than 0. The thermophysical properties measured at 300 K of twelve nanoliquids and thirty hybrid nanoliquids having a total volume fraction of 0.5% are evaluated using phenomenological laws and mixture theory, and prediction on the onset of convection is made in all cases. C2H6O2-SWCNT (F = 0.972881) advances the onset of convection the most among nanoliquids and C2H6O2-Ag-SWCNT and C2H6O2-Cu-SWCNT (F = 0.972875) among hybrid nanoliquids. Rayleigh-Bénard-Marangoni convective system in an inclined plane is more stable than that in a horizontal plane.

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倾斜平面内单纳米液体和混合纳米液体的雷利-贝纳德-马兰戈尼对流以及射流法求解

史无前例地研究了单纳米液体和混合纳米液体在两个无限倾斜的平行平面之间的区域中的雷利-贝纳德-马兰戈尼对流。通过线性稳定性分析研究了纵向和横向滚动的稳定性。在四种不同边界条件的情况下，采用射影法求得复系数边界值问题的特征值。利用现象学定律和混合物理论评估了总体积分数为 0.5%的 12 种纳米液体和 30 种混合纳米液体在 300 K 下测得的热物理性质，并预测了所有情况下对流的发生。在纳米液体中，C2H6O2-SWCNT（F = 0.972881）使对流开始的时间提前最多；在混合纳米液体中，C2H6O2-Ag-SWCNT 和 C2H6O2-Cu-SWCNT （F = 0.972875）使对流开始的时间提前最多。倾斜面中的 Rayleigh-Bénard-Marangoni 对流系统比水平面中的对流系统更稳定。

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来源期刊

Journal of Nanofluids NANOSCIENCE & NANOTECHNOLOGY-

自引率

14.60%

发文量

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.