In this study, the Tiwari and Das model is numerically studied, in case of a moving plate containing both single-walled and multiwalled carbon nanotubes (SWCNTs and MWCNTs, respectively), in the presence of thermal radiation and the slip effect. Employing the similarity transformation, a set of 2nd-order partial differential equations (which are used to model the flow and heat transfer) are solved numerically using the boundary value problem with 4th-order accuracy (BVP4C) method. The effects of related parameters, such as the volume fraction of nanoparticles, moving, slip, and radiation parameter on the heat transfer performance are analysed and discussed. Results indicate that a unique solution was placed when the plate travels in assisting flow conditions. Additionally, as the nanoparticle volume fraction (φ) rises at φ = 0.2, the skin friction and heat transfer rate decrease. It is also observed that when the slip parameter (β) increases at β = 0.4, the skin friction decreases, whereas the heat transfer rate increases. Meanwhile, the heat transfer rate decreases when the thermal radiation (N_R) increases to 0.7. Moreover, it is found that the SWCNTs are more efficient when the skin friction coefficient and the Nusselt number are considered. It is found that the Weibull distribution is more suitable in fitting the skin friction data.

中文翻译：

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威布尔分布：具有辐射和速度滑移效应的含碳纳米管的纳米流体的流动和传热

在这项研究中，在运动板同时包含单壁和多壁碳纳米管（分别为SWCNT和MWCNT）的情况下，在存在热辐射和滑动效应的情况下，对Tiwari和Das模型进行了数值研究。利用相似性变换，使用具有四阶精度的边值问题（BVP4C）方法，数值求解了一组二阶偏微分方程（用于模拟流动和传热）。分析和讨论了相关参数（例如纳米粒子的体积分数，运动，滑动和辐射参数）对传热性能的影响。结果表明，当板在辅助流动条件下移动时，放置了唯一的解决方案。另外，作为纳米颗粒的体积分数（φ）在φ  = 0.2时升高，皮肤摩擦和传热速率降低。还观察到，当滑动参数（β）在β  ＝ 0.4时增加时，皮肤摩擦减小，而热传递率增加。同时，当热辐射（N _R）增加到0.7时，传热率降低。而且，发现当考虑皮肤摩擦系数和努塞尔数时，SWCNT更有效。发现Weibull分布更适合拟合皮肤摩擦数据。