分数阶Oldroyd-B流体在垂直圆柱外的流动和传热
Heat and Mass Transfer of the Generalized Fractional Oldroyd-B Fluid past a Moving Vertical Cylinder
摘要: 本文研究了垂直圆柱外的分数阶Oldroyd-B不可压缩粘弹性流体自然对流传质传热的过程。在描述Oldroyd-B流体的本构关系时引入了分数阶微积分。用L1格式和隐式Crank-Nicolson格式对含有对流项的偏微分方程进行数值离散。最后详细说明和讨论了不同的物理参数对速度和温度的影响。结果表明，部分物理参数对速度分布具有显著的影响，但对温度分布和浓度分布影响不大。
Abstract: This paper studies the heat and mass transfer of an incompressible viscous radiative generalized Oldroyd-B fluid past a moving vertical cylinder. The Caputo fractional derivative operator is in-troduced to describe the constitutive relationship of Oldroyd-B fluid. This partial differential system including convection terms is solved by implicit finite difference scheme of Crank-Nicoson type combined with L1-algorithm.The effects of different physical parameters on the velocity and temperature are illustrated and discussed in detail. The results indicate that these new physical parameters have dramatic influence on the velocity distribution, but little on the temperature and concentration distribution.
文章引用：司新辉, 吕琪, 郑连存. 分数阶Oldroyd-B流体在垂直圆柱外的流动和传热[J]. 现代物理, 2018, 8(2): 50-64. https://doi.org/10.12677/MP.2018.82007

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