Qadeer Muhammad, Khan Umar, Ahmad Sarfraz, Ullah Basharat, Mousa Mohamed, Khan Ilyas
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, Pakistan.
Department of Mathematics and Statistics, Hazara University, Mansehra, Pakistan.
Sci Rep. 2022 Jun 17;12(1):10214. doi: 10.1038/s41598-022-14529-8.
In the current research article, the two-dimensional, incompressible, steady fluid flow is considered. The heat transfer rate of water-based aggregated fluid between converging/diverging channels of shrinking/stretching walls due to the effects of thermal radiation has been examined. The strong static magnetic field is applied perpendicular to the radial direction. The modeled governing equations are transformed into non-linear dimensionless ordinary differential equations by considering appropriate similarity transformations. Since the obtained ODEs are strongly non-linear and the exact solution of these equations is not possible, thus we applied the numerical method RK4 combined with the shooting technique to handle the equations. The impacts of several influential parameters on velocity, temperature, and entropy generation profiles are examined graphically.
在当前的研究文章中,考虑了二维、不可压缩、稳定的流体流动。研究了由于热辐射效应,水基聚集流体在收缩/拉伸壁的收敛/发散通道之间的传热速率。垂直于径向方向施加强静磁场。通过考虑适当的相似变换,将建模的控制方程转化为非线性无量纲常微分方程。由于得到的常微分方程具有很强的非线性,且这些方程无法得到精确解,因此我们应用了数值方法四阶龙格-库塔法(RK4)结合打靶技术来处理这些方程。通过图形研究了几个有影响的参数对速度、温度和熵产生分布的影响。