Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan.
Department of Mathematics, Quaid-I-Azam University, 45320, Islamabad 44000, Pakistan.
Comput Methods Programs Biomed. 2020 Jan;183:105093. doi: 10.1016/j.cmpb.2019.105093. Epub 2019 Sep 24.
Study of nanofluids has been enormously increased for the last couple of years. Regardless of some irregularity in the revealed outcomes and lacking consistency, yet the mechanisms of heat transport have been emerged as highly efficient. In the continuation of nanomaterials research, the investigators and analyst have also attempted to utilize hybrid nanomaterial recently, which is designed by suspending unique nanomaterials (nanoparticles) either in mixture or composite structure. The theory of hybrid nanofluids can be further modified for heat transport and pressure drop attributes by trade-off between disadvantages and advantages of individual suspension, ascribed to great aspect ratio, better thermal system and synergistic impact of nanomaterials. Therefore, we have conducted a theoretical attempt on MHD entropy optimized viscous hybrid nanomaterial flow between two parallel plates. The boundaries of plates are fixed with velocity and thermal slip aspects. Chemical reaction with novel aspect of activation energy is accounted. Furthermore, thermal radiation, heat generation and Joule heating are examined.
The modeled system is numerically simulated through bvp4c technique.
Behaviors of pertinent variables on the velocity, skin friction, temperature, Nusselt number, entropy generation rate and concentration are presented and discussed through different graphs. Temperature field decays against higher values of Eckert number and thermal slip variable.
It is noticed that velocity of material particles increase against larger estimations of rotation parameter. Temperature declines versus larger Prandtl and Eckert numbers. Concentration decays when an enhancement is occurred in the Lewis number. Magnitude of surface drag force upsurges for rising values of Prandtl number and radiation parameter. Furthermore, magnitude of Nusselt number enhances through larger Eckert number, magnetic number and Prandtl number.
在过去的几年中，对纳米流体的研究大大增加。尽管揭示的结果存在一些不规律，而且缺乏一致性，但传热机制已经显示出非常高的效率。在纳米材料研究的延续中，研究人员和分析师最近也试图利用混合纳米材料，这是通过悬浮独特的纳米材料（纳米粒子）在混合物或复合材料结构中设计的。通过权衡单个悬浮体的优缺点，可以进一步修改混合纳米流体的理论，以改善传热和压降特性，这归因于大纵横比、更好的热系统和纳米材料的协同影响。因此，我们对两块平行板之间的磁流体动力学熵优化粘性混合纳米材料流进行了理论尝试。板的边界固定有速度和热滑移方面。考虑了具有新激活能方面的化学反应。此外，还研究了热辐射、热生成和焦耳加热。
通过 bvp4c 技术对模型系统进行数值模拟。
通过不同的图形呈现和讨论了速度、摩擦系数、温度、努塞尔数、熵产生率和浓度等相关变量的行为。温度场随埃克特数和热滑移变量的增加而衰减。
注意到材料颗粒的速度随着旋转参数的增大而增大。温度随普朗特数和埃克特数的增大而降低。当刘易斯数增大时，浓度减小。表面阻力随着普朗特数和辐射参数的增大而增大。此外，随着埃克特数、磁场数和普朗特数的增大，努塞尔数增大。
