本文選題：納米流體 + 算法設(shè)計(jì)��； 參考：《數(shù)學(xué)的實(shí)踐與認(rèn)識(shí)》2017年16期

【摘要】：對(duì)周期性溫度邊界條件下方腔內(nèi)Copper-水納米流體的對(duì)流傳熱問題建立了完全四階高精度緊致差分格式,并探討了該格式高效算法設(shè)計(jì),同時(shí)引入偽時(shí)間導(dǎo)數(shù)項(xiàng)采用Von Neumann方法證明了格式的絕對(duì)穩(wěn)定性.研究了不同Ri數(shù)下納米顆粒體積分?jǐn)?shù)、左右邊界溫度的正弦振幅比和相位偏差對(duì)納米流體傳熱效率的影響.數(shù)值結(jié)果表明,對(duì)于給定的Ri數(shù),隨著納米顆粒體積分?jǐn)?shù)的增大和邊界溫度的正弦振幅比的增加,納米流體的傳熱效果會(huì)顯著增強(qiáng),而相位偏差只影響方腔右側(cè)的溫度分布.
[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.
【作者單位】： 三門峽職業(yè)技術(shù)學(xué)院招生與就業(yè)處;河南科技學(xué)院數(shù)學(xué)科學(xué)學(xué)院;
【基金】：河南省高等學(xué)校青年骨干教師資助計(jì)劃(2014GGJS-102) 國家自然科學(xué)基金項(xiàng)目(U1304106)
【分類號(hào)】：O241.8

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