用指数加热和热热流量对一般化的二级流体进行热传递分析
Saeed Ullah Jan1, Sami Ul Haq2, Naseeb Ullah2
1Department of Mathematics, Islamia College Peshawar, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan. saeedjan53@gmail.com.
Scientific reports
|October 7, 2023
概括
本研究应用卡普托-法布里齐奥分数导数来分析二级流体中的热传递. 结果显示了像普兰特尔数和格拉索夫数这样的参数如何影响流体温度和速度.
科学领域:
- 流体动力学 流体动力学
- 热传递是一种热传递.
- 分数微积分的计算.
背景情况:
- 在许多工程应用中,自然对流传热传输至关重要.
- 二级流体表现出非牛顿行为,需要先进的建模.
- 分数计算提供了一个强大的框架来描述复杂的材料特性.
研究的目的:
- 为了研究第二级流体的不稳定的自然对流流在垂直板上的指数加热.
- 在热传输的构成方程中应用卡普托-法布里齐奥分数导数.
- 分析各种无维参数对流体温度和速度的影响.
主要方法:
- 一般化的富里埃定律被纳入了温度概况.
- 使用无维因子,管理方程变得无维.
- 拉普拉斯变换法被用来获得温度和速度的分析解决方案.
- 使用Mathcad的图形分析可视化了参数的影响.
主要成果:
- 流体温度随着普兰特尔数和二级流体参数的增加而下降,但随着时间的推移而上升.
- 流体速度随着格拉斯霍夫数,二级参数和时间的增加而增加.
- 流体速度随着分数参数和普兰特尔数的增加而下降.
结论:
- 卡普托-法布里齐奥分数衍生模型有效地描述了二级流体中的热传递.
- 无维参数对温度和速度的概况都有很大的影响.
- 这项研究为自然对流下的非牛顿流体的热流体行为提供了宝贵的见解.
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