随温度变化的导热系数和粘度对麦克斯韦纳米流体滑动流动的影响

IF 1 Q3 PHYSICS, MULTIDISCIPLINARY
Debozani Borgohain
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引用次数: 0

摘要

提出了一个数学模型,用于检测热传导、滑移效应和粘度等可变热物理性质对 Maxwellian 纳米流体的影响。由于基液中存在金属、碳化物、氧化物等纳米颗粒,导热系数迅速增加。流体从停滞点通过具有滑动条件的拉伸薄片。布朗运动和热泳过程的特征也被考虑在内。通过相似变换,将影响流体流动的方程简化为 ODE。MATLAB 的内置求解器(即 bvp4c)是一种实现 Lobatto IIIa 有限差分数值方法的配位公式,用于对这些转换后的方程进行数值求解。分析了代表不同参数变化对流体运动、热量和质量传递影响的数值结果图。这项研究得出了一个重要结论,即随着流动中热导率的增强,流体温度会随着纳米颗粒在薄片表面附近的高度聚集而降低。同时,由于麦克斯韦流体的弛豫,热量和质量的传递率也会降低。此外,通过对热泳和普朗特参数的几个值进行热量和质量传递率与之前分析结果的比较,确定了本数值计算的有效性。其结果的有效性可应用于纳米科学技术和聚合物工业的发展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Impacts of Temperature Dependent Thermal Conductivity and Viscosity on Slipped Flow of Maxwell Nanofluid
The mathematical model to inspect the effects of changeable thermo-physical properties such as thermal conduction, slip effects and viscosity on Maxwellian nanofluid is proposed. The thermal conductivity increases rapidly due to presence of nanoparticles such as metals, carbides, oxides etc. in base fluid. The flow occurs from the stagnated point pass a stretched sheet with slipped conditions. The characteristics of the Brownian motion as well as the thermophoresis processes are also taken into consideration. By means of similarity transformations, the ODEs are reduced from the equations influencing the fluid flow. A built-in solver of MATLAB namely bvp4c which is a collocation formula implementing the Lobatto IIIa finite differences numerical method is applied to solve these transformed equations numerically. The graphs of the numerical outcomes representing impacts of variations in different parameters on the fluid movement, transfer of heat along with mass are analyzed. This investigation leads to an important aspect that as the thermal conductivity in the flow is intensified, the temperature of the fluid reduces with high aggregation of the nanoparticles near the sheet’s surface. Also, the rates of heat and mass transferral depletes due to the relaxation of Maxwellian fluid. Furthermore, the effectiveness of the present numerical computations is determined by carrying out comparisons of heat and mass transferred rates against the previous analytical results for several values of thermophoresis and Prandtl parameters. The effectiveness of its outcomes can be applied in nanoscience technology and polymeric industries for their developments.
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来源期刊
East European Journal of Physics
East European Journal of Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
1.10
自引率
25.00%
发文量
58
审稿时长
8 weeks
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