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| 粘弹性纳米流体在垂直板上的非定常自然对流与传热分析——基于分数阶Maxwell模型 |
| Analysis on the unsteady natural convection and heat transfer of viscoelastic nanofluid over a vertical plate——Based on fractional Maxwell model |
| 投稿时间：2022-11-01 修订日期：2022-12-16 |
| DOI： |
| 中文关键词: 分数阶Maxwell模型 分数阶Fourier定律 粘弹性纳米流体 自然对流 垂直板 有限差分法 |
| 英文关键词:fractional Maxwell model viscoelastic nanofluid natural convection vertical plate finite difference method and L1- algorithm |
| 基金项目:福建省科技厅自然科学基金面上项目(2021J01110248)；福建船政交通职业学院博士启动基金(X21206001)资助项目 |
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| 中文摘要: |
| 基于分数阶Maxwell模型和分数阶Fourier定律构建粘弹性纳米流体在垂直板上的非定常二维边界层自然对流与传热控制方程，利用有限差分和L1算法获得数值稳定解，对不同物理参数下的速度、温度、平均表面摩擦系数和平均Nusselt数的变化趋势进行图形化分析。结果显示，速度和温度边界层均表现出短暂记忆和延迟特性；速度分数导数参数削弱了自然对流，而速度松弛时间的影响却相反；温度分数导数参数削弱了自然对流和热传导，而温度松弛时间的影响却相反。 |
| 英文摘要: |
| Based on the fractional Maxwell model and fractional Fourier law, the unsteady two-dimensional boundary layer natural convection and heat transfer control equations of viscoelastic nanofluid on a vertical plate are constructed. The numerical values are obtained by using the finite difference method and L1- algorithm. The trends of velocity, temperature, average skin friction coefficient and average Nusselt number under different physical parameters are graphically analyzed. Results show that both the velocity and temperature boundary layer exhibit a short-term memory and delay characteristics. The velocity fractional derivative parameter decelerates the natural convection, while the velocity relaxation time has the opposite effect. The temperature fractional derivative parameter weakens the natural convection and heat conduction, while the opposite influence is observed for the temperature relaxation time. |
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