| 白羽,万飒,张艳.非稳态分数阶Oldroyd-B流体绕楔形体流动研究[J].计算力学学报,2023,40(4):546~551 |
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| 非稳态分数阶Oldroyd-B流体绕楔形体流动研究 |
| Unsteady flow of fractional Oldroyd-B fluid towards a stretched wedge |
| 投稿时间：2021-10-23 修订日期：2022-03-21 |
| DOI：10.7511/jslx20211023002 |
| 中文关键词: 非稳态流动 分数阶Oldroyd-B流体 多孔介质 热辐射 有限差分法 |
| 英文关键词:unsteady flow fractional Oldroyd-B fluid porous medium thermal radiation finite difference method |
| 基金项目:国家重点研究计划(2016YFC0700601);国家自然科学基金(21878018);北京市自然科学基金和北京市教育委员会联合资助项目(KZ201810016018);北京建筑大学青年教师科研能力提升计划(X21027,X21030,X21031);北京建筑大学研究生创新项目(PG2021095,PG2021093)资助. |
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| 中文摘要: |
| 研究了非稳态分数阶Oldroyd-B流体在多孔介质中通过楔形拉伸板的驻点流动问题。基于分数阶Oldroyd-B流体的本构模型建立了动量方程,并在其中引入了浮升力和驻点流动特征。此外,考虑了具有热松弛延迟时间的修正的分数阶Fourier定律,并将其应用于能量方程和对流换热边界条件。接着,采用与L1算法相结合的有限差分法求解控制偏微分方程。最后,分析了相关物理参数对流动的影响。结果表明,随着楔角参数的增加,流体受到的浮升力增大,导致速度加快;达西数越大,介质的孔隙度变大,流体的流动越快;此外,温度分布先略有上升后明显下降,这表明Oldroyd-B流体具有热延迟特性。 |
| 英文摘要: |
| The unsteady stagnation point flow of fractional Oldroyd-B fluid through a stretched wedge in porous media is studied.Momentum equation is established based on the constitutive model of fractional Oldroyd-B fluid,in which the characteristics of buoyancy and stagnation point flow are introduced.The modified fractional Fourier's law considering thermal relaxation-retardation time is proposed,which applies in both the energy equation and the boundary conditions of convective heat transfer.The finite difference method integrated with L1-algorithm is utilized to address the governing fractional equations.The influence of various parameters on flow analyzed.The results show that the velocity rises with the increase of wedge angle parameter m and Darcy number.The temperature distribution first increases slightly but then declines significantly,which presents the thermal retardation characteristic of Oldroyd-B fluid. |
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