Significance of heat transfer for second-grade fuzzy hybrid nanofluid flow over a stretching/shrinking Riga wedge

IF 1.8 3区 数学 Q1 MATHEMATICS
I. Siddique, Yasir Khan, Muhammad Nadeem, J. Awrejcewicz, M. Bilal
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引用次数: 17

Abstract

This investigation presents the fuzzy nanoparticle volume fraction on heat transfer of second-grade hybrid $ {\text{A}}{{\text{l}}_{\text{2}}}{{\text{O}}_{\text{3}}}{\text{ + Cu/EO}} $ nanofluid over a stretching/shrinking Riga wedge under the contribution of heat source, stagnation point, and nonlinear thermal radiation. Also, this inquiry includes flow simulations using modified Hartmann number, boundary wall slip and heat convective boundary condition. Engine oil is used as the host fluid and two distinct nanomaterials ($ {\text{Cu}} $ and $ {\text{A}}{{\text{l}}_{\text{2}}}{{\text{O}}_{\text{3}}} $) are used as nanoparticles. The associated nonlinear governing PDEs are intended to be reduced into ODEs using suitable transformations. After that 'bvp4c, ' a MATLAB technique is used to compute the solution of said problem. For validation, the current findings are consistent with those previously published. The temperature of the hybrid nanofluid rises significantly more quickly than the temperature of the second-grade fluid, for larger values of the wedge angle parameter, the volume percentage of nanomaterials. For improvements to the wedge angle and Hartmann parameter, the skin friction factor improves. Also, for the comparison of nanofluids and hybrid nanofluids through membership function (MF), the nanoparticle volume fraction is taken as a triangular fuzzy number (TFN) in this work. Membership function and $ \sigma {\text{ - cut}} $ are controlled TFN which ranges from 0 to 1. According to the fuzzy analysis, the hybrid nanofluid gives a more heat transfer rate as compared to nanofluids. Heat transfer and boundary layer flow at wedges have recently received a lot of attention due to several metallurgical and engineering physical applications such as continuous casting, metal extrusion, wire drawing, plastic, hot rolling, crystal growing, fibreglass and paper manufacturing.
二级模糊混合纳米流体在拉伸/收缩Riga楔上流动的传热意义
本文研究了在热源、驻点和非线性热辐射作用下,纳米颗粒体积分数对二级混合流体$ {\text{A}}{{\text{l}}_{\text{2}}}{{\text{O}}}{\text{+ Cu/EO}} $在拉伸/收缩的Riga楔上传热的影响。此外,本文还研究了采用修正哈特曼数、边界壁滑移和热对流边界条件的流动模拟。发动机机油被用作主流体,两种不同的纳米材料($ {\text{Cu}} $和$ {\text{A}}{{\text{l}}_{\text{2}}}{{\text{O}}_{\text{3}}} $)被用作纳米粒子。将相关的非线性控制偏微分方程通过适当的变换简化为偏微分方程。在'bvp4c '之后,使用MATLAB技术来计算所述问题的解。为了验证,目前的研究结果与先前发表的研究结果一致。当楔角参数值较大时,纳米材料的体积百分比增大,杂化纳米流体的温度上升速度明显快于二级流体。由于楔形角和哈特曼参数的改善,表面摩擦系数有所提高。此外,为了通过隶属函数(MF)对纳米流体和混合纳米流体进行比较,本文将纳米颗粒体积分数作为三角模糊数(TFN)。隶属函数和$ \sigma {\text{- cut}} $为受控TFN,取值范围为0 ~ 1。根据模糊分析,混合纳米流体比纳米流体具有更高的传热速率。由于连铸、金属挤压、拉丝、塑料、热轧、晶体生长、玻璃纤维和造纸等冶金和工程物理应用,楔形处的传热和边界层流动最近受到了很多关注。
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
AIMS Mathematics
AIMS Mathematics Mathematics-General Mathematics
CiteScore
3.40
自引率
13.60%
发文量
769
审稿时长
90 days
期刊介绍: AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.
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