Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, 43600, Bangi, Selangor, Malaysia.
Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200, Sindh, Pakistan.
Sci Rep. 2022 Apr 28;12(1):6940. doi: 10.1038/s41598-022-10901-w.
Hybrid nanofluids containing titanium alloy particles have a large class of applications in industrial plastics and soaps, microsensors, aerospace material designs, optical filters, nanowires, surgical implants, and a variety of biological applications. This paper presents a mathematical analysis of Soret and Dufour impacts on the radiative flow through a thin moving needle of binary hybrid alloys nanoparticles. The transformed ordinary differential equations are solved numerically using the built-in function, bvp4c, in MATLAB software. The influences of all relevant parameters are shown in figures and tables. Two outcomes are developed for a precise range of the velocity ratio parameter. In particular, dual solutions are obtained when the needle and the fluid move in the opposite directions, while the solution is unique when they move in the same direction. The outcomes disclose that addition of nanoparticles into the base fluid upsurges the shear stress and the Nusselt number while decreasing the Sherwood number. Meanwhile, an upsurge in the needle size results in an uplift of the temperature and the concentration for the upper branch solution, whereas the velocity declines.
含钛合金颗粒的混合纳米流体在工业塑料和肥皂、微传感器、航空航天材料设计、光学滤波器、纳米线、外科植入物以及各种生物应用中有很大的应用类别。本文对 Soret 和 Dufour 对通过二元混合合金纳米颗粒薄移针的辐射流的影响进行了数学分析。使用 MATLAB 软件中的内置函数 bvp4c 对变换后的常微分方程进行了数值求解。在图和表中显示了所有相关参数的影响。对于速度比参数的精确范围，给出了两个结果。特别是，当针和流体沿相反方向移动时，获得了双解，而当它们沿相同方向移动时，解是唯一的。结果表明，将纳米颗粒添加到基液中会增加剪切应力和努塞尔数，同时降低舍伍德数。同时，针尺寸的增加会导致上支解的温度和浓度升高，而速度下降。
