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基于广义傅里叶定律和菲克定律的混合纳米材料液体绕拉伸表面的布拉修斯-瑞利-斯托克斯流动

Blasius-Rayleigh-Stokes Flow of Hybrid Nanomaterial Liquid Past a Stretching Surface with Generalized Fourier's and Fick's Law.

作者信息

Jiang Yingzi, Zhang Juan, Abdeljawad Thabet, Ahmad Shafiq, Naveed Khan Muhammad, Rehman Aysha, Almaliki Abdulrazak H, El-Shafay Ahmed S

机构信息

School of Mathematics and Statistics, Xuzhou Institute of Technology, Xuzhou 221018, China.

Guangdong ATV Vocational College for the Performing Arts, Dongguan 523710, China.

出版信息

Nanomaterials (Basel). 2022 Jan 27;12(3):439. doi: 10.3390/nano12030439.

Abstract

The effect of Stefan blowing on the Cattaneo-Christov characteristics of the Blasius-Rayleigh-Stokes flow of self-motive Ag-MgO/water hybrid nanofluids, with convective boundary conditions and a microorganism density, are examined in this study. Further, the impact of the transitive magnetic field, ablation/accretion, melting heat, and viscous dissipation effects are also discussed. By performing appropriate transformations, the mathematical models are turned into a couple of self-similarity equations. The bvp4c approach is used to solve the modified similarity equations numerically. The fluid flow, microorganism density, energy, and mass transfer features are investigated for dissimilar values of different variables including magnetic parameter, volume fraction parameter, Stefan blowing parameter, thermal and concentration Biot number, Eckert number, thermal and concentration relaxation parameter, bio-convection Lewis parameter, and Peclet number, to obtain a better understanding of the problem. The liquid velocity is improved for higher values of the volume fraction parameter and magnetic characteristic, due to the retardation effect. Further, a higher value of the Stefan blowing parameter improves the liquid momentum and velocity boundary layer thickness.

摘要

本研究考察了斯特凡吹气对具有对流边界条件和微生物密度的自驱动Ag-MgO/水混合纳米流体的卡塔尼奥-克里斯托夫特性的影响。此外,还讨论了传递磁场、烧蚀/吸积、熔化热和粘性耗散效应的影响。通过进行适当的变换,将数学模型转化为一对自相似方程。采用bvp4c方法对修正后的相似方程进行数值求解。针对不同变量(包括磁参数、体积分数参数、斯特凡吹气参数、热和浓度毕奥数、埃克特数、热和浓度松弛参数、生物对流刘易斯参数和佩克莱数)的不同值,研究了流体流动、微生物密度、能量和传质特性,以更好地理解该问题。由于阻滞效应,对于较高的体积分数参数值和磁特性,液体速度会提高。此外,较高的斯特凡吹气参数值会改善液体动量和速度边界层厚度。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/91d7/8837933/c54944d8e0e7/nanomaterials-12-00439-g001.jpg

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