基于小波技术的非线性热辐射和焦耳加热的纳米流体三维非定常流动中Arrhenius活化能的意义

IF 1.7 3区 化学 Q3 CHEMISTRY, MULTIDISCIPLINARY
M. P. Preetham, S. Kumbinarasaiah
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引用次数: 0

摘要

本文研究了非定常三维导电纳米流体在双边非线性拉伸片上的流动。建立了一个新的数学模型,考虑了阿累尼乌斯活化能、非线性热辐射和焦耳加热的影响。采用泰勒小波级数配置法(TWSCM)进行分析。采用适当的相似变换将控制偏微分方程转化为非线性耦合常微分方程。然后使用TWSCM方法解决这些ode。这种方法使我们能够探索各种物理参数如何影响纳米流体流动中的质量和传热。结果表明,热Biot数和活化能参数显著增强了浓度场。传热速率随温度比和热Biot参数的增大而增大,随活化能参数的增大而减小。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Significance of Arrhenius activation energy on three-dimensional unsteady nanofluid flow with nonlinear thermal radiation and Joule heating via wavelet technique

This investigation focuses on the unsteady three-dimensional electrically conducting nanofluid flow over a bilateral nonlinear stretching sheet. A novel mathematical model is developed to incorporate the influences of Arrhenius activation energy, nonlinear thermal radiation, and Joule heating. The Taylor wavelet series collocation method (TWSCM) is employed for analysis. The governing partial differential equations (PDEs) are transformed by applying suitable similarity transformation into nonlinear coupled ordinary differential equations (ODEs). These ODEs are then solved using the TWSCM approach. This method allows us to explore how various physical parameters influence mass and heat transfer in the nanofluid flow. The findings reveal that the thermal Biot number and activation energy parameter significantly enhance the concentration field. Moreover, the heat transfer rate is found to increase with the temperature ratio and thermal Biot parameters while decreasing with the activation energy parameter.

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来源期刊
Journal of Mathematical Chemistry
Journal of Mathematical Chemistry 化学-化学综合
CiteScore
3.70
自引率
17.60%
发文量
105
审稿时长
6 months
期刊介绍: The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches. Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.
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