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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. [ABSTRACT FROM AUTHOR]