Shankaralingappa Bheemasandra M, Madhukesh Javali K, Sarris Ioannis E, Gireesha Bijjanal J, Prasannakumara Ballajja C
Department of Studies and Research in Mathematics, Kuvempu University, Shankaraghatta, Shimoga 577451, India.
Department of Mathematics, Government Science College (Autonomous), Hassan 573201, India.
Micromachines (Basel). 2021 Nov 29;12(12):1474. doi: 10.3390/mi12121474.
The wide range of industrial applications of flow across moving or static solid surfaces has aroused the curiosity of researchers. In order to generate a more exact estimate of flow and heat transfer properties, three-dimensional modelling must be addressed. This plays a vital role in metalworking operations, producing plastic and rubber films, and the continuous cooling of fibre. In view of the above scope, an incompressible, laminar three-dimensional flow of a Casson nanoliquid in the occurrence of thermophoretic particle deposition over a non-linearly extending sheet is examined. To convert the collection of partial differential equations into ordinary differential equations, the governing equations are framed with sufficient assumptions, and appropriate similarity transformations are employed. The reduced equations are solved by implementing Runge Kutta Fehlberg 4th 5th order technique with the aid of a shooting scheme. The numerical results are obtained for linear and non-linear cases, and graphs are drawn for various dimensionless constraints. The present study shows that improvement in the Casson parameter values will diminish the axial velocities, but improvement is seen in thermal distribution. The escalation in the thermophoretic parameter will decline the concentration profiles. The rate of mass transfer, surface drag force will reduce with the improved values of the power law index. The non-linear stretching case shows greater impact in all of the profiles compared to the linear stretching case.
流体在移动或静止固体表面上的广泛工业应用引发了研究人员的好奇心。为了更准确地估计流动和传热特性，必须进行三维建模。这在金属加工操作、生产塑料和橡胶薄膜以及纤维的连续冷却中起着至关重要的作用。鉴于上述范围，研究了在非线性延伸薄板上发生热泳粒子沉积时Casson纳米流体的不可压缩、层流三维流动。为了将偏微分方程组转化为常微分方程，在充分假设的基础上建立了控制方程，并采用了适当的相似变换。借助射击法，采用龙格-库塔-费尔贝格4阶5阶技术求解简化后的方程。得到了线性和非线性情况下的数值结果，并绘制了各种无量纲约束的图形。本研究表明，Casson参数值的提高将降低轴向速度，但热分布会得到改善。热泳参数的增加将降低浓度分布。传质速率、表面阻力将随着幂律指数值的提高而降低。与线性拉伸情况相比，非线性拉伸情况在所有分布中显示出更大的影响。
