Flow of EMHD nanofluid in curved channel through corrugated walls

IF 1 4区 数学
Madhia Rashid, Sohail Nadeem
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引用次数: 3

Abstract

The present examination deals with the effects of nanofluids on corrugated walls under the influence of electromagnetohydrodynamic (EMHD) in the curved channel. The investigation is carried out by water-based nanofluids using copper nanoparticle. Firstly performed the mathematical modelling by applying the method of perturbation, we have evaluated analytical solutions for the velocity and temperature. For the corrugations of the two walls periodic sine waves are described for small amplitude either in phase or out of phase. By using numerical calculations we analyzed the corrugation effects on the velocity and temperature for EMHD flow. The physical effects of flow variables like Hartmann number, Volumetric concentration of nanoparticles, Grashof number, Curvature parameter and Heat absorption coefficient are graphically discussed. Moreover, the effect of Curvature parameter on Stresses and Nusselt number is discussed through tables. The velocity and temperature decrease when the curvature parameter is increased. The electromagnetohydrodynamic (EMHD) velocity and temperature distributions show that 0° is the phase difference between the two walls for in phase and the phase difference is equal to the 180° between two walls for out of phase. The important conclusion is that reducing the unobvious wave effect on the velocity and temperature for a small value of amplitude ratio parameter.

EMHD纳米流体在弯曲通道中通过波纹壁的流动
本文研究了在电磁流体动力学(EMHD)的影响下,纳米流体对弯曲通道中波纹壁面的影响。采用纳米铜颗粒制备水基纳米流体。首先用微扰法进行了数学建模,求出了速度和温度的解析解。对于两壁的波纹,描述了小振幅的同相或异相周期正弦波。通过数值计算分析了波纹对EMHD气流速度和温度的影响。讨论了Hartmann数、纳米颗粒体积浓度、Grashof数、曲率参数和吸热系数等流动变量的物理效应。此外,通过表格讨论了曲率参数对应力和努塞尔数的影响。随着曲率参数的增大,速度和温度降低。电磁流体动力学(EMHD)速度和温度分布表明,同相时两壁相位差为0°,非相时两壁相位差为180°。重要的结论是,较小的振幅比参数值可以降低不明显的波对速度和温度的影响。
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
自引率
10.00%
发文量
33
期刊介绍: Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.
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