Fixed Point Research Laboratory, Fixed Point Theory and Applications Research Group, Center of Excellence in Theoretical and Computational Science (TaCS-CoE), Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok, 10140, Thailand.
Department of Mathematics, Nigeria Maritime University, Okerenkoko, Delta State, Nigeria.
Sci Rep. 2022 Nov 4;12(1):18646. doi: 10.1038/s41598-022-21854-5.
Electro-osmotic flow via a microchannel has numerous uses in the contemporary world, including in the biochemical and pharmaceutical industries. This research explores the electroosmotic flow of Casson-type nanofluid with Sodium Alginate nanoparticles through a vertically tilted microchannel. In addition, the transverse magnetic field is also considered. In this flowing fluid, the influence of heat and mass transmission is also explored. The aforementioned physical process is represented by partial differential equations. Utilizing suitable dimensionless variables for nondimensionalized. Furthermore, the non-dimensional classical system is fractionalized with the use of generalized Fourier and Fick's law. Generalizations are made using the Caputo derivative's description. The analytical solution of the velocity, temperature, and concentration profiles is obtained by combining the methods of Laplace and Fourier. Interestingly, the influence of several physical characteristics such as the fractional parameter, Casson fluid parameter, the thermal and mass Grashof numbers, and the zeta potential parameter is displayed. Moreover, the results show that the volume fractional of nanoparticles enhances the rate of heat transfer up to 39.90%, Skin friction up to 38.05%, and Sherwood number up to 11.11%. Also, the angle of inclination enhances the fluid velocity.
电渗流通过微通道在当代世界有许多用途，包括在生化和制药行业。本研究探讨了 Casson 型纳米流体在带有海藻酸钠纳米粒子的垂直倾斜微通道中的电渗流动。此外，还考虑了横向磁场。在这种流动的流体中，还探讨了传热和传质的影响。上述物理过程由偏微分方程表示。利用合适的无量纲变量对无量纲化。此外，使用广义傅里叶和菲克定律对非定常经典系统进行分数化。使用 Caputo 导数的描述进行推广。通过结合拉普拉斯和傅里叶方法获得速度、温度和浓度分布的解析解。有趣的是，展示了几个物理特性的影响，如分数参数、Casson 流体参数、热和质量 Grashof 数以及 zeta 电位参数。此外，结果表明，纳米颗粒的体积分数将传热速率提高了 39.90%，将摩擦系数提高了 38.05%，将舍伍德数提高了 11.11%。此外，倾斜角度会增强流体速度。
