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三元纳米流体流经拉伸平板的汤姆森和特罗扬速度滑移分析。

Analysis of the Thomson and Troian velocity slip for the flow of ternary nanofluid past a stretching sheet.

机构信息

School of Computer Science and Technology, Shandong Technology and Business University, Yantai, 264005, China.

Department of Computational Sciences, CHRIST University, Bangalore, India.

出版信息

Sci Rep. 2023 Feb 9;13(1):2340. doi: 10.1038/s41598-023-29485-0.

DOI:10.1038/s41598-023-29485-0
PMID:36759730
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9911791/
Abstract

In this article, the flow of ternary nanofluid is analysed past a stretching sheet subjected to Thomson and Troian slip condition along with the temperature jump. The ternary nanofluid is formed by suspending three different types of nanoparticles namely [Formula: see text] and [Formula: see text] into water which acts as a base fluid and leads to the motion of nanoparticles. The high thermal conductivity and chemical stability of silver was the main cause for its suspension as the third nanoparticle into the hybrid nanofluid [Formula: see text]. Thus, forming the ternary nanofluid [Formula: see text]. The sheet is assumed to be vertically stretching where the gravitational force will have its impact in the form of free convection. Furthermore, the presence of radiation and heat source/sink is assumed so that the energy equation thus formed will be similar to most of the real life applications. The assumption mentioned here leads to the mathematical model framed using partial differential equations (PDE) which are further transformed to ordinary differential equations (ODE) using suitable similarity transformations. Thus, obtained system of equations is solved by incorporating the RKF-45 numerical technique. The results indicated that the increase in the suspension of silver nanoparticles enhanced the temperature and due to density, the velocity of the flow is reduced. The slip in the velocity decreased the flow speed while the temperature of the nanofluid was observed to be increasing.

摘要

本文分析了三元纳米流体在汤姆森和特罗扬滑移条件下流过一个伸展片的流动情况,同时存在温度跃变。三元纳米流体是由悬浮在水中的三种不同类型的纳米粒子[Formula: see text]和[Formula: see text]形成的,水作为基液,导致纳米粒子的运动。银的高导热性和化学稳定性是将其悬浮在混合纳米流体[Formula: see text]中的主要原因,从而形成三元纳米流体[Formula: see text]。假设薄片垂直拉伸,重力将以自由对流的形式产生影响。此外,假设存在辐射和热源/汇,以便形成的能量方程与大多数实际应用相似。这里提到的假设导致使用偏微分方程(PDE)构建数学模型,然后使用合适的相似变换将其进一步转换为常微分方程(ODE)。因此,通过结合 RKF-45 数值技术来求解得到的方程组。结果表明,悬浮银纳米粒子的增加会提高温度,而由于密度的增加,流速会降低。速度滑移会降低流动速度,而纳米流体的温度则会升高。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/12e97d13f860/41598_2023_29485_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/bb91c376f7e8/41598_2023_29485_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/c71182c08bb8/41598_2023_29485_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/2b95740c33b8/41598_2023_29485_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/aa50383621e6/41598_2023_29485_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/fed133539c50/41598_2023_29485_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/e388df6cb983/41598_2023_29485_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/e6a6b7849183/41598_2023_29485_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/cc5f7ffa8c43/41598_2023_29485_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/12e97d13f860/41598_2023_29485_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/bb91c376f7e8/41598_2023_29485_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/c71182c08bb8/41598_2023_29485_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/2b95740c33b8/41598_2023_29485_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/aa50383621e6/41598_2023_29485_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/fed133539c50/41598_2023_29485_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/e388df6cb983/41598_2023_29485_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/e6a6b7849183/41598_2023_29485_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/cc5f7ffa8c43/41598_2023_29485_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/3237/9911791/12e97d13f860/41598_2023_29485_Fig9_HTML.jpg

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