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基于 CNTs 的水微极流在旋转框架中流动的数值分析。

Numerical analysis of water based CNTs flow of micropolar fluid through rotating frame.

机构信息

Mathematics and its Applications in Life Sciences Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam.

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.

出版信息

Comput Methods Programs Biomed. 2020 Apr;186:105194. doi: 10.1016/j.cmpb.2019.105194. Epub 2019 Nov 8.

Abstract

BACKGROUND

In this article, the nanomaterial flow of micropolar fluid in rotating frame is considered. The SWCNT and MWCNT with base fluid namely pure water is also taken into account to analyze the flow behavior over stretching surface. Mathematical model have been constructed under the nanomaterial of micropolar fluid.

METHOD

The governing equations have been developed in the form of system of partial differential equations. The partial differential equations are transformed into ordinary differential equations using similarity transformations. The transformed system has been solved through MAPLE software.

RESULTS

The physical parameters like as thermal slip effects, velocity slip effects and magnetic hydrodynamics on the micropolar nanofluid are presented by tables and graphs. Surprisingly in the rotating parameter, F''(0) and - θ'(0) increases for higher values of the rotating parameter while opposite to be noted for G''(0). The Nusselt number and skin friction increases for higher values of micropolar parameter but MWCNT achieves higher heat transfer as associated to SWCNT.

摘要

背景

本文研究了旋转框架中微极流的纳米材料流动。还考虑了基底流体(即纯水)中的单壁碳纳米管 (SWCNT) 和多壁碳纳米管 (MWCNT),以分析拉伸表面上的流动行为。在微极流体的纳米材料下构建了数学模型。

方法

以偏微分方程组的形式推导出控制方程。通过相似变换将偏微分方程转化为常微分方程。使用 MAPLE 软件对转换后的系统进行求解。

结果

通过表格和图形呈现了热滑移效应、速度滑移效应和磁流体动力学等物理参数对微极纳米流体的影响。令人惊讶的是,在旋转参数中,随着旋转参数的增加,F''(0) 和 - θ'(0) 增加,而 G''(0) 的情况则相反。当微极参数增加时,努塞尔数和表面摩擦增加,但与 SWCNT 相比,MWCNT 实现了更高的传热。

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