Mahabaleshwar U S, Sneha K N, Hatami M
Department of Mathematics, Davangere University, Shivagangothri, Davangere, 577007, India.
Department of Mechanical Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
Sci Rep. 2022 Jun 8;12(1):9485. doi: 10.1038/s41598-022-13592-5.
The current work studies the motion of viscoelastic liquid saturated with carbon nanotubes over a stretching surface in a Darcy porous medium analytically below an influence of Cattaneo-Christov heat flux. The carbon nanotubes (CNTs) act as nanoparticles which are then appended into the base fluid. Water and kerosene are used as a base fluid with two types of CNTs, namely, Single-wall carbon nanotubes and Multiwall carbon nanotubes. Carbon nanotubes possess a wide range of industrial and biomedical applications including energy production, nuclear reactor cooling, and galaxy cooling applications because they can expand the thermal and mechanical properties of base things. As a result, the carbon nanotubes used in the mentioned fields are being investigated for their potential in heat transfer applications. Governing equations formulated using the Partial differential equations have converted to Ordinary differential equations exhausting the appropriate comparison transformation process. An influence of some relevant constraints on velocity and temperature is evaluated in details. The Cattaneo-Christov heat transfer model is utilized to investigate the heat transfer individualities with varying thermal conductivity consuming the attributes of the Appell hypergeometric function. The impacts of the emerging parameters on the profiles are depicted through graphical representations and analytically constructed tables. Considering its usefulness in modulating temperature distribution in different industrial application, including solar collector design, electronic cooling, building ventilation, etc. According to our findings, the temperature profile exhibits an enhancement with the thermal radiation parameter and the viscous-elastic fluids. In addition, when compared to the classical Fourier's law of heat conduction, the temperature profile and thermal boundary layer thickness for the Cattaneo-Christov heat flux model are lower.
当前工作在Cattaneo-Christov热流影响下，对Darcy多孔介质中碳纳米管饱和的粘弹性液体在拉伸表面上的运动进行了分析研究。碳纳米管（CNTs）作为纳米颗粒被添加到基液中。水和煤油被用作基液，搭配两种类型的碳纳米管，即单壁碳纳米管和多壁碳纳米管。碳纳米管具有广泛的工业和生物医学应用，包括能源生产、核反应堆冷却和星系冷却应用，因为它们可以扩展基础物质的热性能和机械性能。因此，上述领域中使用的碳纳米管正在被研究其在传热应用中的潜力。使用偏微分方程建立的控制方程通过适当的相似变换过程转化为常微分方程。详细评估了一些相关约束对速度和温度的影响。利用Cattaneo-Christov传热模型，借助Appell超几何函数的特性研究了热导率变化时的传热特性。通过图形表示和解析构建的表格描述了新出现的参数对分布的影响。考虑到其在调节不同工业应用中的温度分布方面的有用性，包括太阳能集热器设计、电子冷却、建筑通风等。根据我们的研究结果，温度分布随着热辐射参数和粘弹性流体而增强。此外，与经典的傅里叶热传导定律相比，Cattaneo-Christov热流模型的温度分布和热边界层厚度更低。
