School of Mathematics and Statistics, Central South University, Changsha, China.
Department of Mathematics and Statistics, Women University Swabi, KPK, Pakistan.
Sci Prog. 2023 Apr-Jun;106(2):368504231176151. doi: 10.1177/00368504231176151.
The study of boundary layer flows over an irregularly shaped needle with small horizontal and vertical dimensions is popular among academics because it seems to have a lot of uses in fields as different as bioinformatics, medicine, engineering, and aerodynamics. With nanoparticle aggregation, magnetohydrodynamics, and viscous dissipation all playing a role in the flow and heat transmission of an axisymmetric nanofluid via a moving thin needle, this article provides guidance on how to employ a boundary layer for this purpose. In this case, we utilized the similarity transformation to change the dimensional partial differential equation into the dimensionless ordinary differential equation. We utilize MATHEMATICA to include shooting using RK-IV methods after identifying the numerical issue. Several characteristics were measured, leading to the discovery of a broad variety of values for things like skin friction coefficients, Nusselt numbers, velocity profiles, and temperature distributions. Velocity profile decreases with increasing values of and increases against Temperature profiles enhances with increasing values of , and The reduction in skin friction between a needle and a fluid can be observed when the values of and are boosted. Furthermore, it was also noticed an increase in heat transfer on needle surface dramatically when , and were raised, whereas displayed the opposite effect. The findings of the current study are compared with prior findings for a particular instance in order to confirm the findings. Excellent agreement between the two sets of results is found.
研究具有小水平和垂直尺寸的不规则形状针的边界层流动在学术界很受欢迎,因为它似乎在生物信息学、医学、工程和空气动力学等不同领域有很多用途。本文通过一个移动的薄针研究轴对称纳米流体的纳米颗粒聚集、磁流体动力学和粘性耗散对流动和传热的影响,为如何利用边界层实现这一目标提供了指导。在这种情况下,我们利用相似变换将维偏微分方程转化为无量纲常微分方程。我们使用 MATHEMATICA 识别数值问题后,使用 RK-IV 方法进行打靶。测量了几个特征,发现了各种各样的值,如摩擦系数、努塞尔数、速度分布和温度分布。速度分布随着 和 的增加而减小,随着 的增加而增加。当 和 增加时,可以观察到针和流体之间的摩擦减少。此外,当 和 增加时,针表面的传热显著增加,而 则产生相反的效果。为了验证结果,将当前研究的结果与特定情况下的先前结果进行了比较。发现两组结果之间存在极好的一致性。