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Fluid flow and heat transfer of carbon nanotubes along a flat plate with Navier slip boundary

机译：碳纳米管沿着带有纳维耶滑动边界的平板的流体流动和传热

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摘要

Homogeneous flow model is used to study the flow and heat transfer of carbon nanotubes (CNTs) along a flat plate subjected to Navier slip and uniform heat flux boundary conditions. This is the first paper on the flow and heat transfer of CNTs along a flat plate. Two types of CNTs, namely, single- and multi-wall CNTs are used with water, kerosene or engine oil as base fluids. The empirical correlations are used for the thermophysical properties of CNTs in terms of the solid volume fraction of CNTs. For the effective thermal conductivity of CNTs, Xue (Phys B Condens Matter 368:302–307, 2005 ) model has been used and the results are compared with the existing theoretical models. The governing partial differential equations and boundary conditions are converted into a set of nonlinear ordinary differential equations using suitable similarity transformations. These equations are solved numerically using a very efficient finite difference method with shooting scheme. The effects of the governing parameters on the dimensionless velocity, temperature, skin friction, and Nusselt numbers are investigated and presented in graphical and tabular forms. The numerical results of skin friction and Nusselt numbers are compared with the available data for special cases and are found in good agreement.
机译：均质流动模型用于研究碳纳米管（CNT）沿平板在Navier滑动和均匀热通量边界条件下的流动和传热。这是有关CNT沿平板流动和传热的第一篇论文。两种类型的CNT，即单壁和多壁CNT与水，煤油或发动机油一起用作基液。根据CNT的固体体积分数，经验相关性用于CNT的热物理性质。对于碳纳米管的有效导热系数，使用了薛（Phys B Condens Matter 368：302–307，2005）模型，并将结果与​​现有理论模型进行了比较。使用适当的相似性变换，将控制的偏微分方程和边界条件转换为一组非线性常微分方程。这些方程是使用射击方案通过非常有效的有限差分方法数值求解的。研究了控制参数对无量纲速度，温度，皮肤摩擦和Nusselt数的影响，并以图形和表格形式显示。将皮肤摩擦和Nusselt数的数值结果与特殊情况下的可用数据进行了比较，发现它们具有很好的一致性。

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