Vishnu Ganesh N, Rajesh B, Al-Mdallal Qasem M, Muzara Hillary
PG and Research Department of Mathematics, Ramakrishna Mission Vivekananda College, Mylapore, Chennai -600004, Tamil Nadu, India.
Department of Mathematical Sciences, United Arab Emirates University, P.O. Box 15551, Al Ain, Abu Dhabi, United Arab Emirates.
Heliyon. 2024 Apr 3;10(7):e28994. doi: 10.1016/j.heliyon.2024.e28994. eCollection 2024 Apr 15.
This study examines the effects of magnetic-field-dependent (MFD) viscosity on the boundary layer flow of a non-Newtonian sodium alginate-based nanofluid over an impermeable stretching surface. The non-Newtonian Casson and homogeneous nanofluid models are utilized to derive the governing flow and heat transfer equations. Applying Lie group transformations to dimensional partial differential equations yields nondimensional ordinary differential equations, which are then numerically solved using the spectral quasi-linearization technique. The analysis primarily focuses on the impacts of the MFD viscosity parameter, nanoparticle volume fraction of , and magnetic parameters on the flow and heat transfer characteristics. The local skin friction and heat transfer rate behaviors influenced by viscosity changes due to the magnetic field are discussed. It is found that MFD viscosity significantly impacts flow and thermal energies, enhancing skin friction coefficients and reducing Nusselt numbers in the boundary layer region.
本研究考察了磁场依赖（MFD）粘度对基于非牛顿海藻酸钠的纳米流体在不可渗透拉伸表面上的边界层流动的影响。利用非牛顿卡森模型和均匀纳米流体模型推导了控制流动和传热方程。对有量纲的偏微分方程应用李群变换得到无量纲常微分方程，然后使用谱拟线性化技术对其进行数值求解。分析主要集中在MFD粘度参数、纳米颗粒体积分数以及磁参数对流动和传热特性的影响。讨论了由于磁场导致的粘度变化对局部表面摩擦和传热速率行为的影响。研究发现，MFD粘度对流动和热能有显著影响，在边界层区域提高了表面摩擦系数并降低了努塞尔数。
