Analysis of heat generation impact on nanofluid flow over a stretching sheet

Q1 Mathematics Partial Differential Equations in Applied Mathematics Pub Date : 2024-09-01 Epub Date: 2024-07-31 DOI:10.1016/j.padiff.2024.100852
G. Jithender Reddy , P. Mangathai , N. Pothanna
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Abstract

In this paper, studied the impact of heat generation of Nanofluid movement over a stretching sheet by the consideration of Thermophoresis, Brownian motion & first order chemical react parameters etc. Constructed the modelling equations with based on assumptions and by introducing emerging parameters. The equations converted to third order ODE through stream functions. FDM with collocation polynomial technique (bvp4c) employed to solve those equations through MATLAB software. The results are presented through graphical form with the influence of emerging parameters. Thickness of thermal boundary stratum decreased as enhancing of Prandtl number. Influence of Brownian motion parameter, fluid temperature raised and fall down the concentration. Temperature of fluid and concentration raised as enhancement of thermophoresis. A decrease in the heat transfer rate and an increase in the mass transfer rate are observed as thermophoresis, Brownian motion, and heat generation parameter values increasing. The enhancement of chemical reaction parameters intensifies the driving forces of temperature and concentration gradients, which govern heat and mass transfer, leading to increased rates of both heat and mass transfer. Validation of the model presented and the present results align well by past reported studies. This model can extent to analyse the hybrid nanofluid in the manufacturing process of detergent, painting and lubricants, analysis of blood flow in artery etc.

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拉伸片上纳米流体流动的发热影响分析
本文通过考虑热泳、布朗运动 &s 和一阶化学反应参数等因素,研究了纳米流体在拉伸片上运动所产生的热量的影响。在假设的基础上,通过引入新的参数,构建了建模方程。通过流函数将方程转换为三阶 ODE。通过 MATLAB 软件,采用 FDM 和配位多项式技术 (bvp4c) 来求解这些方程。结果以图表形式展示了新出现参数的影响。热边界层厚度随着普朗特数的增加而减小。受布朗运动参数的影响,流体温度升高,浓度下降。流体温度和浓度随着热泳的增强而升高。随着热泳、布朗运动和发热参数值的增加,传热速率降低,传质速率增加。化学反应参数的增强加强了温度梯度和浓度梯度的驱动力,而温度梯度和浓度梯度则控制着传热和传质,从而导致传热和传质速率的增加。所提出模型的验证和目前的结果与过去报告的研究结果非常吻合。该模型可用于分析洗涤剂、油漆和润滑剂生产过程中的混合纳米流体,以及动脉血流分析等。
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来源期刊
CiteScore
6.20
自引率
0.00%
发文量
138
审稿时长
14 weeks
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