Department of Mathematics, City University of Science and Information Technology, Peshawar, 25000, Khyber Pakhtunkhwa, Pakistan.
Basic Sciences Department, College of Science and Theoretical Studies, Saudi Electronic University, Abha Male, 61421, Saudi Arabia.
Sci Rep. 2023 Mar 17;13(1):4428. doi: 10.1038/s41598-023-31567-y.
Several scientists are interested in recent developments in nanotechnology and nanoscience. Grease is an essential component of many machines and engines because it helps keep them cool by reducing friction between their various elements. In sealed life applications including centralized lubrication systems, electrical motors, bearings, logging and mining machinery, truck wheel hubs, construction, landscaping, and gearboxes, greases are also utilized. Nanoparticles are added to convectional grease to improve its cooling and lubricating properties. More specifically, the current study goal is to investigate open channel flow while taking grease into account as a Maxwell fluid with MoS nanoparticles suspended in it. The Caputo-Fabrizio time-fractional derivative is used to convert the issue from a linked classical order PDE to a local fractional model. To determine the precise solutions for the velocity, temperature, and concentration distributions, two integral transform techniques the finite Fourier sine and the Laplace transform technique are jointly utilized. The resultant answers are physically explored and displayed using various graphs. It is important to note that the fractional model, which offers a variety of integral curves, more accurately depicts the flow behavior than the classical model. Skin friction, the Nusselt number, and the Sherwood number are engineering-related numbers that are quantitatively determined and displayed in tabular form. It is determined that adding MoS nanoparticles to grease causes a 19.1146% increase in heat transmission and a 2.5122% decrease in mass transfer. The results obtained in this work are compared with published literature for the accuracy purpose.
几位科学家对纳米技术和纳米科学的最新发展感兴趣。油脂是许多机器和发动机的重要组成部分，因为它可以通过减少它们各个部件之间的摩擦来帮助它们保持冷却。在包括集中润滑系统、电机、轴承、石油和采矿机械、卡车轮毂、建筑、景观美化和变速箱在内的密封生命应用中，也会使用油脂。纳米粒子被添加到传统油脂中，以提高其冷却和润滑性能。更具体地说，目前的研究目标是在考虑将油脂作为含有 MoS 纳米粒子的麦克斯韦流体的情况下，研究明渠流动。使用 Caputo-Fabrizio 时间分数导数将问题从关联的经典阶 PDE 转换为局部分数模型。为了确定速度、温度和浓度分布的精确解，联合使用了两种积分变换技术——有限傅里叶正弦和拉普拉斯变换技术。使用各种图形对所得答案进行物理探索和显示。需要注意的是，与经典模型相比，分数模型提供了多种积分曲线，更准确地描述了流动行为。摩擦系数、努塞尔数和舍伍德数是与工程相关的数量，以表格形式定量确定和显示。研究表明，在油脂中添加 MoS 纳米粒子会导致传热增加 19.1146%，传质减少 2.5122%。为了准确性目的，将本文得到的结果与已发表的文献进行了比较。
