磁流体动力学三元混合纳米流体滑过可渗透收缩片:边界层流动控制与响应面方法优化

IF 4 3区 工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Nur Syahirah Wahid, Shahirah Abu Bakar, Mohd Shafie Mustafa, Norihan Md Arifin, Ioan Pop
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引用次数: 0

摘要

纳米流体中的磁流体动力学(MHD)在边界层流动中是至关重要的,因为它可以通过磁场操纵流体运动,从而提高稳定性和效率。本研究旨在引入一种结合磁流体力学和滑移效应的三元混合纳米流体通过可渗透收缩片的边界层流动模型和求解方法。设计/方法/方法首先将模型表示为偏微分方程,然后通过相似变换技术将其转化为常微分方程。利用MATLAB中Lobatto IIIa公式的有限差分格式对ode进行了数值求解,得到了表面摩擦系数、努塞尔数、速度分布和温度分布的数值结果。结果表明,增强磁流体力学效应和一阶速度滑移对减小表面摩擦、改善传热、延缓边界层分离、提高流动速度和降低流体温度具有重要意义。此外,利用响应面法(RSM)研究了稳定的数值解,以验证和优化流动控制。RSM优化证实,更高的吸力、磁流体动力学效应和一阶滑移水平对于最小化表面摩擦和同时最大化传热至关重要。原创性/价值所提出的模型连同数值和统计结果可以作为一个指导,以控制流动和传热发生在相关的实际应用中,特别是在工程和工业活动,如冷却技术,能量收集或纳米技术中的流体输送,其中传热和流体动力学的精确控制是优化性能和减少能耗的必要条件。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Magnetohydrodynamic ternary hybrid nanofluid slip flow past a permeable shrinking sheet: boundary layer flow control and optimization using response surface methodology

Purpose

Magnetohydrodynamics (MHD) in nanofluids is crucial in boundary layer flow as it enables the manipulation of fluid motion through magnetic fields, which leads to improved stability and efficiency. This study aims to introduce a model and solutions for the boundary layer flow of a ternary hybrid nanofluid past a permeable shrinking sheet, integrating both magnetohydrodynamic and slip effects.

Design/methodology/approach

The model is firstly expressed as partial differential equations and subsequently converted into ordinary differential equations (ODEs) through a similarity transformation technique. A finite difference scheme with the Lobatto IIIa formula in MATLAB is applied to numerically solve the ODEs, where the respective outcomes provide insights into the skin friction coefficient, Nusselt number, velocity profiles and temperature profiles.

Findings

The results highlight the significance of enhancing magnetohydrodynamic effects and first-order velocity slip to reduce skin friction, improve heat transfer, delay boundary layer separation, increase flow velocity and lower fluid temperature. In addition, the stable numerical solution is scrutinized using response surface methodology (RSM) to validate and optimize flow control. The RSM optimization confirms that higher suction, magnetohydrodynamic effects and first-order slip levels are essential for minimizing skin friction and maximizing heat transfer simultaneously.

Originality/value

The presented model together with the numerical and statistical results can be used as a guidance to control the flow and heat transfer that occur within a related practical application, especially in engineering and industrial activities such as cooling technologies, energy harvesting or fluid transport in nanotechnology, where precise control of heat transfer and fluid dynamics is essential for optimizing performance and reducing energy consumption.

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来源期刊
CiteScore
9.50
自引率
11.90%
发文量
100
审稿时长
6-12 weeks
期刊介绍: The main objective of this international journal is to provide applied mathematicians, engineers and scientists engaged in computer-aided design and research in computational heat transfer and fluid dynamics, whether in academic institutions of industry, with timely and accessible information on the development, refinement and application of computer-based numerical techniques for solving problems in heat and fluid flow. - See more at: http://emeraldgrouppublishing.com/products/journals/journals.htm?id=hff#sthash.Kf80GRt8.dpuf
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