Effect of temperature jump on forced convective transport of nanofluids in the continuum flow and slip flow regimes

Effect of temperature jump on forced convective transport of nanofluids in the continuum flow and slip flow regimes
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连续流和滑流状态下温度跃变对纳米流体强制对流传输的影响

DOI:
10.1016/j.ces.2015.07.018
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发表时间:
2015-12
影响因子:
4.7
通讯作者:
Ting Qiu
Ting Qiu
中科院分区:
工程技术2区
文献类型:
--
作者:
Chen Yang;Qinglian Wang;Akira Nakayama;Ting Qiu

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在本文中,已经尝试扩展最初由Yang等人提出的纳米流体的修改的Buongiorno模型(2013 a,J. Heat Transf.,135,054504)从连续流状态到滑移流状态,同时考虑速度滑移和壁面附近温度跃变的影响。由于速度滑移边界条件的使用在文献中已被广泛应用和理解,因此本研究的重点是温度跳跃边界条件。基于使用Runge-Kutta-Gill方法获得的理论结果,可以得出结论,壁附近的温度跳跃对无量纲温度的影响比无量纲速度和纳米颗粒在通道横截面中的体积分数更显著。此外,忽略温度跳跃导致高估的努塞尔数的基础上的体积平均纳米流体热导率NuB,特别是在滑移流区。随后,讨论了纳米流体的两个关键参数,即努森数K和布朗扩散率与热泳扩散率之比NBT,以考察它们对纳米流体流动与传热特性的影响。结果表明,Knn的增加不仅增强了传热性能,而且降低了压降,展示了纳米流体在微纳米尺度器件中应用的广阔前景。此外,发现当Kni在0.07左右或NBT在0.5左右时,可以实现最大NuB,这对于优化纳米颗粒以用于实际应用是有用的。
In this paper, an attempt has been made to extend the modified Buongiorno model of nanofluids originally proposed by Yang et al. (2013a,J. Heat Transf., 135, 054504) from the continuum flow regime to the slip flow regime, in consideration of the effects of both velocity slip and temperature jump near the wall. Since the use of velocity slip boundary condition has been extensively applied and well-understood in the literature, the focus of the present study is on the temperature jump boundary condition. Based on the theoretical results obtained using the Runge–Kutta–Gill method, one can conclude that the temperature jump near the wall has more significant influence on the dimensionless temperature than the dimensionless velocity and volume fraction of nanoparticles in the cross section of a channel. Moreover, the neglect of temperature jump leads to the overestimation of Nusselt number based on the bulk mean nanofluid thermal conductivityNuB, especially in the slip flow regime. Subsequently, two key parameters of nanofluids, namely Knudsen numberKnand the ratio of Brownian and thermophoretic diffusivitiesNBT, were discussed in order to investigate their effects on the fluid flow and heat transfer characteristics of nanofluids. The results indicated that the increase ofKnnot only enhances heat transfer performance, but also reduces pressure drop, demonstrating the promising prospect of nanofluids applications in micro and nano-scales devices. Furthermore, it is found that the maximumNuBcan be achieved whenKnis around 0.07 or whenNBTis around 0.5, which is useful for optimizing nanoparticles for practical applications.
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