新的洞察力纳米流体流在一个道与温和的分数运算符的操作员
Jack Fenwick1, Fawang Liu1,2, Libo Feng1
1School of Mathematical Sciences, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001, Australia.
Nanotechnology
|November 16, 2023
概括
这项研究为流体流动模型引入了一个温和的卡普托导数,提供了有限的等待时间. 结果表明,增加分数和炼参数可以减少纳米流体的热传递.
科学领域:
- 计算流体动力学的流体动力学.
- 分数微积分的微积分计算.
- 纳米流体的传热方式
背景情况:
- 传统的卡普托衍生在流体流动模型中存在诸如单个内核和无限等待时间等限制.
- 随机步行视角突出了分数流体流动模型中有限等待时间的需要.
- 在分析纳米流体中浮力驱动的流量时,Boussinesq近似与之相关.
研究的目的:
- 通过为有限的等待时间引入温和的Caputo衍生品来解决Caputo衍生品的局限性.
- 开发一个快速,无条件稳定,并对一般化温和扩散问题的合数值方案.
- 应用开发的方案来分析纳米流体中的热传递,用合炼方程来描述.
主要方法:
- 开发一个快速近似,使用一个指数近似的总和来解决一个一般化的温和扩散问题.
- 对拟议数值方案的无条件稳定性和趋同的分析证明.
- 将快速方案应用于控制纳米流体行为的合温和方程系统.
主要成果:
- 数值方案被证明是无条件稳定和趋同的.
- 快速近似有效地解决了一般化的温和扩散问题.
- 在纳米流体系统中增加分数和化参数导致热传递减少.
结论:
- 温和的卡普托衍生品为标准的卡普托衍生品提供了有价值的替代品,包括有限的等待时间.
- 开发的快速数值方案是强大的,准确的,用于解决温和扩散问题.
- 该研究揭示了分量和化参数对纳米流体传热能力的显著影响.
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