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在磁场作用下,两个平行旋转圆盘之间的非牛顿麦克斯韦纳米流体流动。

The non-Newtonian maxwell nanofluid flow between two parallel rotating disks under the effects of magnetic field.

作者信息

Ahmadian Ali, Bilal Muhammad, Khan Muhammad Altaf, Asjad Muhammad Imran

机构信息

Institute of Industry Revolution 4.0, The National University of Malaysia, 43600 UKM, Bangi, Selangor, Malaysia.

Department of Mathematics, City University of Science and Information Technology, Peshawar, Pakistan.

出版信息

Sci Rep. 2020 Oct 13;10(1):17088. doi: 10.1038/s41598-020-74096-8.

Abstract

The main feature of the present numerical model is to explore the behavior of Maxwell nanoliquid moving within two horizontal rotating disks. The disks are stretchable and subjected to a magnetic field in axial direction. The time dependent characteristics of thermal conductivity have been considered to scrutinize the heat transfer phenomena. The thermophoresis and Brownian motion features of nanoliquid are studied with Buongiorno model. The lower and upper disk's rotation for both the cases, same direction as well as opposite direction of rotation is investigated. The subsequent arrangement of the three dimensional Navier Stoke's equations along with energy, mass and Maxwell equations are diminished to a dimensionless system of equations through the Von Karman's similarity framework. The comparative numerical arrangement of modeled equations is further set up by built-in numerical scheme "boundary value solver" (Bvp4c) and Runge Kutta fourth order method (RK4). The various physical constraints, such as Prandtl number, thermal conductivity, magnetic field, thermal radiation, time relaxation, Brownian motion and thermophoresis parameters and their impact are presented and discussed briefly for velocity, temperature, concentration and magnetic strength profiles. In the present analysis, some vital characteristics such as Nusselt and Sherwood numbers are considered for physical and numerical investigation. The outcomes concluded that the disk stretching action opposing the flow behavior. With the increases of magnetic field parameter [Formula: see text] the fluid velocity decreases, while improving its temperature. We show a good agreement of the present work by comparing with those published in literature.

摘要

当前数值模型的主要特点是探究麦克斯韦纳米流体在两个水平旋转圆盘之间的流动行为。圆盘是可拉伸的,并在轴向受到磁场作用。考虑了热导率的时间相关特性以仔细研究传热现象。采用布翁焦尔诺模型研究了纳米流体的热泳和布朗运动特性。研究了两种情况下上下圆盘的旋转,即同向旋转和反向旋转。通过冯·卡门相似框架,将三维纳维 - 斯托克斯方程以及能量、质量和麦克斯韦方程的后续方程组简化为无量纲方程组。通过内置数值格式“边值求解器”(Bvp4c)和四阶龙格 - 库塔方法(RK4)进一步建立了建模方程的比较数值解。给出并简要讨论了各种物理约束条件,如普朗特数、热导率、磁场、热辐射、时间弛豫、布朗运动和热泳参数及其对速度、温度、浓度和磁场强度分布的影响。在本分析中,考虑了一些重要特性,如努塞尔数和舍伍德数进行物理和数值研究。结果表明圆盘拉伸作用与流动行为相反。随着磁场参数[公式:见原文]的增加,流体速度降低,而温度升高。通过与文献中发表的结果进行比较,我们表明本研究结果具有良好的一致性。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/a945/7553997/135018d8d6b2/41598_2020_74096_Fig1_HTML.jpg

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