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双旋转盘间 Ree-Eyring 纳米流体流动的理论研究:熵优化和 Arrhenius 激活能。

Theoretical investigation of Ree-Eyring nanofluid flow with entropy optimization and Arrhenius activation energy between two rotating disks.

机构信息

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University Jeddah, P. O. Box 80207 21589, Saudi Arabia.

Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan.

出版信息

Comput Methods Programs Biomed. 2019 Aug;177:57-68. doi: 10.1016/j.cmpb.2019.05.012. Epub 2019 May 17.

DOI:10.1016/j.cmpb.2019.05.012
PMID:31319961
Abstract

BACKGROUND AND OBJECTIVE

Improvement of high performance thermal systems for heat transport augmentation has become quite prevalent nowadays. Various works have been performed to pick up a comprehension of the heat transport execution for their practical utilization to heat transport augmentation. Therefore, the nanomaterial has been used in flow of Ree-Eyring fluid between two rotating disks for thermal conductivity enhancement of base fluid. Heat transfer characteristics are discussed through viscous dissipation and heat source/sink. Behaviors of Brownian motion and thermophoresis are also examinted. Physical behaviors of irreversibility in nanofluid with Arrhenius activation energy are also accounted.

METHODS

The nonlinear systems lead to ordinary differential problems through implementation of appropriate transformations. The relevant problems are tackled by (OHAM) Optimal homotopic method for series solutions.

RESULTS

Effects of various physical parameters on the velocity, entropy rate, Bejan number, concentration and temperature are discussed graphically. Skin friction coefficient and gradient of temperature are numerically examined and discussed with various parameters.

CONCLUSIONS

Entropy generation rate is control by minimizing the values of Brinkman number and stretching parameter. Entropy rate and Bejan number show the dual behaviors against Eckert number. Both decay near the lower disk while reverse holds near the upper disk. Entropy rate and Bejan number show similar behaviors for Weissenberg number.

摘要

背景与目的

提高高热性能的热传输系统已经成为现今相当普遍的现象。为了实际应用于热传输增强,已经进行了各种工作以了解热传输性能。因此,纳米材料已被用于两个旋转圆盘之间的 Ree-Eyring 流体流动中,以提高基液的热导率。通过粘性耗散和热源/汇讨论了传热特性。还研究了布朗运动和热泳的行为。还考虑了具有 Arrhenius 激活能的纳米流体中的不可逆性的物理行为。

方法

通过适当的变换,非线性系统导致常微分问题。通过(OHAM)最优同伦方法对级数解进行求解。

结果

以图形方式讨论了各种物理参数对速度、熵率、Bejan 数、浓度和温度的影响。通过数值计算和讨论了各种参数的摩擦系数和温度梯度。

结论

通过最小化 Brinkman 数和拉伸参数的值来控制熵产生率。熵率和 Bejan 数对 Eckert 数表现出双重行为。在下部圆盘附近两者都减小,而在上部圆盘附近则相反。熵率和 Bejan 数对 Weissenberg 数表现出相似的行为。

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