The existence of magnetic field is beneficial to stabilize the fluid flow patterns in modern era industrial implications and engineering problems. A constant horizontal magnetized field is implemented to stabilize the swirl viscous fluid flow created by disk rotation. The heat transmission equation is expressed by the variable fluid property that the thermal conductivity is dependent on temperature. Buongiorno nanofluid model is applied to express the role of thermophoresis and Brownian movement. The flow governing equations are normalized through the von Kármán classical similarity variables. The impacts of magnetic and other physical parameters on velocity, thermal and concentration fields are investigated in numerical way using RKF‐45 (Runge–Kutta–Fehlberg) built‐in procedure. The critical part of horizontal magnetic field and dimensionless parameters onto physical quantities such as wall shears, thermal rate, and concentration rate are highlighted. Regression analysis is also performed to evaluate the impact of obtained numerical values of such physical quantities on flow rates. Unlike the familiar impacts of a uniformly applied transverse magnetic field that concerns the velocity field stabilizing and decreasing the thermal rate, it is established that the horizontal magnetized field is valuable for stabilizing/destabilizing the flow phenomenon. The results also matched with the published work in limiting case.

中文翻译：

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纳米流体热物理对流水平磁场回归分析

磁场的存在有利于稳定现代工业影响和工程问题中的流体流动模式。实施恒定的水平磁场以稳定盘旋转产生的漩涡粘性流体流。传热方程由可变流体特性表示，即热导率取决于温度。 Buongiorno 纳米流体模型用于表达热泳和布朗运动的作用。流动控制方程通过冯·卡门经典相似变量进行归一化。使用 RKF-45 (Runge-Kutta-Fehlberg) 内置程序以数值方式研究磁和其他物理参数对速度、热和浓度场的影响。突出显示了水平磁场的关键部分和壁剪力、热速率和浓度率等物理量的无量纲参数。还进行回归分析以评估所获得的这些物理量的数值对流量的影响。与常见的均匀施加横向磁场的影响（涉及速度场稳定和降低热速率）不同，水平磁场对于稳定/不稳定流动现象很有价值。结果也与极限情况下已发表的工作相匹配。