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在多孔介质中，具有对流边界条件和欧姆加热的 MHD Williamson 混合纳米流体的热变。

Heat variation on MHD Williamson hybrid nanofluid flow with convective boundary condition and Ohmic heating in a porous material.

机构信息

Department of Mathematics, Faculty of Science, Aswan University, Aswan, 81528, Egypt.

Department of Mathematics, Faculty of Science, New Valley University, Al-Kharga, 72511, Al-Wadi Al-Gadid, Egypt.

出版信息

Sci Rep. 2023 Apr 13;13(1):6071. doi: 10.1038/s41598-023-33043-z.

DOI:10.1038/s41598-023-33043-z
PMID:37055474
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC10102173/
Abstract

The aim of the present study is to explore the variation of heat on MHD Williamson hybrid nanofluid (Ag-TiO/HO) model for steady two-dimensional and incompressible flow with a convective boundary condition in a curved coordinate porous system with Ohmic heating. Nusselt number is distinguished by the process of thermal radiation. The partial differential equations are controlled by the curved coordinate's porous system, which depicts the flow paradigm. Employing similarity transformations, the acquired equations were turned into coupled non-linear ordinary differential equations. The governing equations were disbanded by RKF45 via shooting methodology. The focus is on examining physical characteristics such as heat flux at the wall, temperature distribution, velocity of flow, and surface friction coefficient for a variety of related factors. The analysis explained that increasing permeability, Biot and Eckert numbers enhance temperature profile and slowdown heat transfer. Moreover, convective boundary condition and thermal radiation enhance the friction of the surface. The model is prepared as an implementation for solar energy in processes of thermal engineering. Morever, this research has enormous applications in the industries of polymer and glass, also in the field of heat exchangers styling, cooling operations of metallic plates, etc.

摘要

本研究旨在探索在具有欧姆加热的弯曲坐标多孔系统中，对稳态二维不可压缩流动的磁电热Williamson 混合纳米流体（Ag-TiO/HO）模型中热的变化。努塞尔数通过热辐射过程来区分。偏微分方程由多孔系统的弯曲坐标控制，描绘了流动范例。通过相似变换，获得的方程转化为耦合的非线性常微分方程。通过 RKF45 拍摄法对控制方程进行离散。重点研究了各种相关因素对壁面热通量、温度分布、流动速度和表面摩擦系数等物理特性的影响。分析表明，渗透率、Biot 和 Eckert 数的增加会提高温度分布并减缓传热。此外，对流边界条件和热辐射会增强表面摩擦。该模型是为热能工程中的太阳能过程而设计的。此外，本研究在聚合物和玻璃工业、热交换器设计、金属板冷却操作等领域有广泛的应用。

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Finite element analysis for ternary hybrid nanoparticles on thermal enhancement in pseudo-plastic liquid through porous stretching sheet.通过多孔拉伸片对拟塑性液体中三元混合纳米颗粒热增强的有限元分析。
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Analysis of dual solution for MHD flow of Williamson fluid with slippage.
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考虑滑移的威廉姆森流体磁流体动力学流动的双解分析。
Heliyon. 2019 Mar 18;5(3):e01345. doi: 10.1016/j.heliyon.2019.e01345. eCollection 2019 Mar.