AbstractThe main goal of our study is to examine the shear‐induced flow dynamics of a hybrid nanofluid (HNF) composed of rGO/magnetite‐mercury within a thermal vertical Riga channel in an intense electromagnetic rotational framework, invoking the existence of Hall and ion‐slip currents. The model configuration involves a static right wall and a left wall undergoing either impulsive motion (IM) or accelerated motion (AM), initiating fluid movement, which is mathematically represented by unsteady partial differential equations. The Laplace transform (LT) method is harnessed to get a closed‐form solution for the flow‐regulating equations. Through graphical representations, we detail the dominance of critical parameters on model functions and quantities for both IM and AM scenarios. Our key findings admit that an upswing in rotation and the modified Hartmann number significantly diminishes velocity components in both IM and AM cases. The primary velocity experiences a notable diminution with an amplification in the Hall and ion‐slip parameters, while the secondary velocity's magnitude strengthens. Primary and secondary velocities are consistently higher in IM compared to AM. A heightened modified Hartmann number reduces shear stresses at the moving wall due to primary flow in both IM and AM scenarios. Additionally, the magnitude of shear stresses at the moving wall is consistently more pronounced in IM than in AM, with shear stresses notably higher in IM. As the radiation parameter grows, the rate of heat transfer RHT at both channel walls diminishes. Moreover, rate of heat transfer for the HNF consistently exceeds that for the nanofluid (NF). The novelty of the study lies in its unique combination of a radioactive HNF, the thermal Riga channel, and electromagnetic rotational effects, providing new insights into the flow dynamics under extreme conditions, with potential applications in energy systems, nuclear reactor technology, spacecraft propulsion, satellite operations, space exploration, aerospace engineering, chemical mixing, and materials processing.
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