纳米流体强化传热问题的高效算法设计及其高精度数值模拟

发布时间：2018-06-09 12:52

本文选题：纳米流体 + 算法设计　；参考：《数学的实践与认识》2017年16期

【摘要】：对周期性温度边界条件下方腔内Copper-水纳米流体的对流传热问题建立了完全四阶高精度紧致差分格式,并探讨了该格式高效算法设计,同时引入伪时间导数项采用Von Neumann方法证明了格式的绝对稳定性.研究了不同Ri数下纳米颗粒体积分数、左右边界温度的正弦振幅比和相位偏差对纳米流体传热效率的影响.数值结果表明,对于给定的Ri数,随着纳米颗粒体积分数的增大和边界温度的正弦振幅比的增加,纳米流体的传热效果会显著增强,而相位偏差只影响方腔右侧的温度分布.
[Abstract]:For the heat transfer problem of Copper-water nanofluids in the cavity under periodic temperature boundary conditions, a perfect four-order compact difference scheme with high accuracy is established, and the efficient algorithm design of the scheme is discussed. At the same time, the pseudo-time derivative term is introduced to prove the absolute stability of the scheme by using the Von Neumann method. The effects of volume fraction of nanocrystalline particles, sinusoidal amplitude ratio of left and right boundary temperature and phase deviation on heat transfer efficiency of nanoscale fluids were studied under different Ri numbers. The numerical results show that for a given Ri number, with the increase of the volume fraction of the nanoparticles and the sinusoidal amplitude ratio of the boundary temperature, the heat transfer effect of the nano-fluid will be significantly enhanced, while the phase deviation will only affect the temperature distribution on the right side of the square cavity.
【作者单位】：三门峡职业技术学院招生与就业处;河南科技学院数学科学学院;
【基金】：河南省高等学校青年骨干教师资助计划(2014GGJS-102) 国家自然科学基金项目(U1304106)
【分类号】：O241.8

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