Sharma Bhupendra Kumar, Kumar Anup, Gandhi Rishu, Bhatti Muhammad Mubashir, Mishra Nidhish Kumar
Department of Mathematics, Birla Institute of Technology and Science, Pilani 333031, India.
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China.
Nanomaterials (Basel). 2023 Jan 29;13(3):544. doi: 10.3390/nano13030544.
This article examines the effects of entropy generation, heat transmission, and mass transfer on the flow of Jeffrey fluid under the influence of solar radiation in the presence of copper nanoparticles and gyrotactic microorganisms, with polyvinyl alcohol-water serving as the base fluid. The impact of source terms such as Joule heating, viscous dissipation, and the exponential heat source is analyzed via a nonlinear elongating surface of nonuniform thickness. The development of an efficient numerical model describing the flow and thermal characteristics of a parabolic trough solar collector (PTSC) installed on a solar plate is underway as the use of solar plates in various devices continues to increase. Governing PDEs are first converted into ODEs using a suitable similarity transformation. The resulting higher-order coupled ODEs are converted into a system of first-order ODEs and then solved using the RK 4th-order method with shooting technique. The remarkable impacts of pertinent parameters such as Deborah number, magnetic field parameter, electric field parameter, Grashof number, solutal Grashof number, Prandtl number, Eckert number, exponential heat source parameter, Lewis number, chemical reaction parameter, bioconvection Lewis number, and Peclet number associated with the flow properties are discussed graphically. The increase in the radiation parameter and volume fraction of the nanoparticles enhances the temperature profile. The Bejan number and entropy generation rate increase with the rise in diffusion parameter and bioconvection diffusion parameter. The novelty of the present work is analyzing the entropy generation and solar radiation effects in the presence of motile gyrotactic microorganisms and copper nanoparticles with polyvinyl alcohol-water as the base fluid under the influence of the source terms, such as viscous dissipation, Ohmic heating, exponential heat source, and chemical reaction of the electromagnetohydrodynamic (EMHD) Jeffrey fluid flow. The non-Newtonian nanofluids have proven their great potential for heat transfer processes, which have various applications in cooling microchips, solar energy systems, and thermal energy technologies.
本文研究了在铜纳米颗粒和回转趋性微生物存在的情况下,太阳能辐射影响下熵产生、热传递和质量传递对Jeffrey流体流动的影响,其中聚乙烯醇 - 水作为基液。通过非均匀厚度的非线性伸长表面分析了焦耳热、粘性耗散和指数热源等源项的影响。随着太阳能板在各种设备中的使用不断增加,正在开发一种有效的数值模型来描述安装在太阳能板上的抛物槽式太阳能集热器(PTSC)的流动和热特性。首先使用合适的相似变换将控制偏微分方程转换为常微分方程。将得到的高阶耦合常微分方程转换为一阶常微分方程组,然后使用带有打靶技术的四阶龙格 - 库塔方法求解。以图形方式讨论了与流动特性相关的诸如德博拉数、磁场参数、电场参数、格拉晓夫数、溶质格拉晓夫数、普朗特数、埃克特数、指数热源参数、刘易斯数、化学反应参数、生物对流刘易斯数和佩克莱数等相关参数的显著影响。辐射参数和纳米颗粒体积分数的增加会提高温度分布。贝扬数和熵产生率随着扩散参数和生物对流扩散参数的增加而增加。本工作的新颖之处在于,在粘性耗散、欧姆加热、指数热源和电磁流体动力学(EMHD)Jeffrey流体流动的化学反应等源项影响下,以聚乙烯醇 - 水作为基液,分析了活动回转趋性微生物和铜纳米颗粒存在时的熵产生和太阳辐射效应。非牛顿纳米流体已证明其在传热过程中具有巨大潜力,在冷却微芯片、太阳能系统和热能技术等方面有各种应用。