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Numerical treatment for solving a model of non-Newtonian Casson fluid flow over an extensible sheet based on maritime field
International Journal of Modern Physics C ( IF 1.9 ) Pub Date : 2021-02-22 , DOI: 10.1142/s0129183121500789 Nourhan I. Ghoneim 1
International Journal of Modern Physics C ( IF 1.9 ) Pub Date : 2021-02-22 , DOI: 10.1142/s0129183121500789 Nourhan I. Ghoneim 1
Affiliation
A numerical solution for steady-state, incompressible, laminar Casson fluid flow and heat transfer in the combined region of a boundary layer is presented for the case of mixed convection and slip velocity. Before introducing the present technique of non-Newtonian Casson model, reviewing the literature has been carefully performed, an improved technique for this model is studied, which has not been previously reported. The presented analysis involves the harness of a magnetic field, viscous dissipation, internal heat generation/absorption and the slip velocity. Finite difference method (FDM) has been used to get an accurate and complete numerical solution. In this novel study, it is proved by means of a finite difference technique, that the velocity and the thermal field may be influenced with the presence of mixed convection phenomenon. The results show that both the fluid velocity and temperature may be predicted from the values of the controlling parameters. Finally, the graphical output reveals that the fluid velocity is diminished by strengthening both the Hartman number and the Casson parameter while the reverse characteristics are observed for the Grashof number.
中文翻译:
基于海洋场的非牛顿卡松流体在可延展板上流动模型的数值处理
针对混合对流和滑移速度的情况,提出了边界层组合区域内稳态、不可压缩、层流 Casson 流体流动和传热的数值解。在介绍非牛顿 Casson 模型的现有技术之前,仔细阅读了文献,研究了该模型的改进技术,这在以前没有报道过。所提出的分析涉及磁场的利用、粘性耗散、内部热量产生/吸收和滑移速度。有限差分法 (FDM) 已被用于获得准确和完整的数值解。在这项新颖的研究中,通过有限差分技术证明,混合对流现象的存在可能会影响速度和热场。结果表明,流体速度和温度都可以从控制参数的值中预测出来。最后,图形输出表明,通过加强 Hartman 数和 Casson 参数,流体速度会降低,而 Grashof 数则观察到相反的特征。
更新日期:2021-02-22
中文翻译:
基于海洋场的非牛顿卡松流体在可延展板上流动模型的数值处理
针对混合对流和滑移速度的情况,提出了边界层组合区域内稳态、不可压缩、层流 Casson 流体流动和传热的数值解。在介绍非牛顿 Casson 模型的现有技术之前,仔细阅读了文献,研究了该模型的改进技术,这在以前没有报道过。所提出的分析涉及磁场的利用、粘性耗散、内部热量产生/吸收和滑移速度。有限差分法 (FDM) 已被用于获得准确和完整的数值解。在这项新颖的研究中,通过有限差分技术证明,混合对流现象的存在可能会影响速度和热场。结果表明,流体速度和温度都可以从控制参数的值中预测出来。最后,图形输出表明,通过加强 Hartman 数和 Casson 参数,流体速度会降低,而 Grashof 数则观察到相反的特征。