Deparment of Mathematics and Statistics, PMAS Arid Agriculture University Shamsabad, Rawalpindi, 46300, Pakistan.
Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad, 38000, Pakistan.
Comput Methods Programs Biomed. 2020 Aug;192:105435. doi: 10.1016/j.cmpb.2020.105435. Epub 2020 Mar 4.
Due to some special characteristics like the effective thermal conductivities, appropriate mechanical features, and superior electrical properties, carbon nanostructures have been known as the proper materials to reach the desired characteristics of fluids. In the recent past fluid flows through peristaltic mechanism subject to carbon nanotubes are utilized to handle the overcome of industrial and physiological materials thermal properties. Due to rich thermal characteristics nanotubes are used into basic industrial materials to improve the required ability of thermal properties of these industrial materials. Thus various kinds of nanoparticles e.g. aluminum, copper, zinc oxides and carbon nanotubes are significantly utilized to increase the thermal abilities of base liquids. Because of the several significant special qualities such as improved thermal conductivities, applicable mechanical structures, and rich electrical properties, CNTs have been acknowledged as the accurate tools to reach the wanted features of fluids, due to such abilities CNTs are high demanding research topic in all domains. Keeping such efficiencies of CNTs in notice, this analysis is prepared for peristalsis of carbon nanotubes through non-uniform asymmetric channel. Flow mechanism is modeled in view of conservation principles under desired assumptions likely porous medium, non-linear mixed convection, heat generation absorption and Newtonian heating. Rate of total entropy is evaluated by using thermodynamics second law. Lubrication approach utilized here to attain the simplified form of the complex flow expressions. The pressure gradient, velocity along axial direction, temperature, effective heat transfer rate and entropy expressions subject to boundary conditions are evaluated numerically via built-in-Shooting procedure. Furthermore these numerical results are used to sketch the variations of all the above mentioned quantities against the pertinent parameters of interest. According to physical discussion temperature reduces for heat absorption case and enhances for heat generation case. Impact of Prandtl number on entropy indicates that entropy is minimum due to less fluid friction (i.e. Prandtl number less than 1).
由于有效导热系数、适当的机械特性和优异的电性能等特殊特性,碳纳米结构已被认为是达到所需流体特性的合适材料。在最近的过去,通过碳纳米管的蠕动机制来处理克服工业和生理材料热性能的流体流动已经得到了应用。由于丰富的热特性,纳米管被应用到基本的工业材料中,以提高这些工业材料所需的热性能能力。因此,各种纳米粒子,如铝、铜、氧化锌和碳纳米管,被广泛用于提高基础液体的热能力。由于改善的导热系数、适用的机械结构和丰富的电性能等多种显著的特殊性质,碳纳米管已被公认为达到所需流体特性的精确工具,由于这些能力,碳纳米管在所有领域都是高需求的研究课题。注意到碳纳米管的这些效率,本分析是为通过非均匀非对称通道的碳纳米管蠕动而准备的。在期望的假设下,根据守恒原理对流动机制进行建模,这些假设包括多孔介质、非线性混合对流、热生成吸收和牛顿加热。通过热力学第二定律评估总熵的速率。这里使用润滑方法来获得复杂流动表达式的简化形式。通过内置的拍摄程序数值评估压力梯度、轴向方向的速度、温度、有效传热率和熵表达式,以及边界条件。此外,这些数值结果用于绘制所有上述数量对相关感兴趣参数的变化图。根据物理讨论,在吸热情况下温度降低,在发热情况下温度升高。普朗特数对熵的影响表明,由于流体摩擦较小(即普朗特数小于 1),熵最小。