Effect of heat and mass transfer on the MHD \(\mathrm{Al_2O_3/H_2O}\) and \(\mathrm{Al_2O_3/C_2H_6O_2}\) nanoliquid through an asymmetric vertical channel

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pramana Pub Date : 2024-08-22 DOI:10.1007/s12043-024-02814-2
P Praveen Kumar, S Balakrishnan, A Magesh
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Abstract

The impact of magnetic field on the peristaltic motion of alumina/water (\(\mathrm Al_2O_3/H_2O)\) and alumina/ethylene glycol (\(\mathrm Al_2O_3/C_2H_6O_2)\) nanofluids in a vertical asymmetrical channel with mass/heat transfer was examined in this study. Unsteady governing equations were derived for the present problem. The Galilean transformation was used to transform the unsteady governing equations into steady ones. Reducing partial differential equations yields ordinary differential equations with the implementation of the long wavelength and low Reynolds number approximations. Coupled nonlinear differential equations (concentration and temperature equations) were solved analytically using the perturbation technique. In a similar fashion, the exact solution to the stream function is computed. MATLAB software was used to plot temperature, pressure rise, velocity and concentration, while MATHEMATICA software was used for generating streamlines. The findings suggest that, in comparison to the \(\mathrm Al_2O_3/H_2O\) nanoliquid, the velocity profile for the \(\mathrm Al_2O_3/C_2H_6O_2\) nanoliquid shows significantly larger magnitudes.

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热量和质量传递对通过非对称垂直通道的 MHD $$\mathrm{Al_2O_3/H_2O}$$ 和 $$\mathrm{Al_2O_3/C_2H_6O_2}$ 纳米液体的影响
本研究考察了磁场对氧化铝/水(\(\mathrm Al_2O_3/H_2O)\)和氧化铝/乙二醇(\(\mathrm Al_2O_3/C_2H_6O_2)\)纳米流体在垂直不对称通道中的蠕动运动的影响。针对本问题推导了非稳态控制方程。伽利略变换用于将非稳态控制方程转换为稳态方程。通过实施长波长和低雷诺数近似,将偏微分方程还原为常微分方程。耦合非线性微分方程(浓度和温度方程)采用扰动技术进行分析求解。以类似的方式计算了流函数的精确解。使用 MATLAB 软件绘制温度、压力上升、速度和浓度曲线,同时使用 MATHEMATICA 软件生成流线。研究结果表明,与 \(\mathrm Al_2O_3/H_2O\) 纳米液体相比, \(\mathrm Al_2O_3/C_2H_6O_2\) 纳米液体的速度曲线显示出明显更大的幅度。
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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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