Kumar Pradeep, Nagaraja Basavarajappa, Almeida Felicita, AjayKumar Abbani Ramakrishnappa, Al-Mdallal Qasem, Jarad Fahd
Department of Mathematics, School of Engineering, Presidency University, Rajanakunte, Yelahanka, Bengaluru, Karnataka, 560064, India.
Department of Mathematics, KNS Institute of Technology, Thirumenahalli, Yelahanka, Bangalore, 560064, India.
Sci Rep. 2023 Aug 7;13(1):12770. doi: 10.1038/s41598-023-39354-5.
In particular, the Cattaneo-Christov heat flux model and buoyancy effect have been taken into account in the numerical simulation of time-based unsteady flow of Casson-Williamson nanofluid carried over a magnetic dipole enabled curved stretching sheet with thermal radiation, Joule heating, an exponential heat source, homo-heterogenic reactions, slip, and melting heat peripheral conditions. The specified flow's partial differential equations are converted to straightforward ordinary differential equations using similarity transformations. The Runge-Kutta-Fehlberg 4-5th order tool has been used to generate solution graphs for the problem under consideration. Other parameters are simultaneously set to their default settings while displaying the solution graphs for all flow defining profiles with the specific parameters. Each produced graph has been the subject of an extensive debate. Here, the analysis shows that the thermal buoyancy component boosts the velocity regime. The investigation also revealed that the melting parameter and radiation parameter had counterintuitive effects on the thermal profile. The velocity distribution of nanofluid flow is also slowed down by the ferrohydrodynamic interaction parameter. The surface drag has decreased as the unsteadiness parameter has increased, while the rate of heat transfer has increased. To further demonstrate the flow and heat distribution, graphical representations of streamlines and isotherms have been offered.
特别地,在对具有热辐射、焦耳热、指数热源、均相-非均相反应、滑移和熔化热边界条件的基于时间的非定常Casson-Williamson纳米流体在磁偶极子作用下的弯曲拉伸片上流动进行数值模拟时,考虑了卡塔尼奥-克里斯托夫热流模型和浮力效应。使用相似变换将指定流动的偏微分方程转换为简单的常微分方程。已使用龙格-库塔-费尔贝格4-5阶工具生成所考虑问题的解图。在显示具有特定参数的所有流动定义剖面的解图时,将其他参数同时设置为其默认设置。对每个生成的图都进行了广泛的讨论。在此,分析表明热浮力分量提高了速度状态。研究还表明,熔化参数和辐射参数对热剖面有反直觉的影响。铁磁流体动力学相互作用参数也使纳米流体流动的速度分布减慢。随着非定常参数的增加,表面阻力减小,而传热速率增加。为了进一步展示流动和热分布,提供了流线和等温线的图形表示。