Simulation of Cattaneo-Christov heat flux on the flow of single and multi-walled carbon nanotubes between two stretchable coaxial rotating disks
Simulation of Cattaneo-Christov heat flux on the flow of single and multi-walled carbon nanotubes between two stretchable coaxial rotating disks
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DOI：
10.1007/s10973-019-08644-4
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发表时间：
2020-02-01
影响因子：
4.4
通讯作者：
Chamkha, A. J.
中科院分区：
文献类型：
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作者：
Bhattacharyya, A.;Seth, G. S.;Chamkha, A. J.
为了揭示碳纳米管在两个可拉伸同轴旋转圆盘间的流动和传热特性，开展了本项研究。分析了单壁和多壁碳纳米管（SWCNTs和MWCNTs）以水为基液时的行为。为了建立能量方程，我们采用了Cattaneo-Christov热通量模型。这种模型考虑了热弛豫的贡献。vonKarman变换已被实施，以便将控制偏微分方程重构为常微分方程系统。利用最优同伦分析方法得到了级数解。还进行了误差分析，并以表格形式呈现。借助曲线图和等值线图很好地阐明了流体速度、温度、表面摩擦系数和努塞尔数的物理性质。本研究的主要成果之一表明，水基单壁碳纳米管有一种倾向，导致更少的阻力和更高的传热速率相比，水基多壁碳纳米管。这项研究发现，在核推进和航天器的不同机制的热转换的许多应用。
With an objective to unfold the flow and heat transfer characteristics of carbon nanotubes between two stretchable coaxial rotating disks, the present investigation has been carried out. The behavior of single- and multi-walled carbon nanotubes (SWCNTs and MWCNTs) taking water as the base fluid is analyzed. To formulate the energy equation, we have incorporated Cattaneo-Christov heat flux model. Consideration of such kind of model accounts the contribution by thermal relaxation. von Karman transformation has been implemented in order to reconstruct the governing partial differential equations into a system of ordinary differential equations. Employing optimal homotopy analysis method series solutions are obtained. Error analysis has also been performed and presented in tabular form. The physical clarifications for the behavior of fluid velocity, temperature, skin friction coefficient and Nusselt number are well demonstrated with the help of graphs and contour plots. One of the major outcomes of the present study signifies that water-based SWCNTs have a tendency to cause less drag and higher rate of heat transfer as compared to water-based MWCNTs. This investigation finds numerous applications in different mechanisms of thermal conversion for nuclear propulsion and spacecraft.