This work presents a comprehensive analysis of thermofluidic characteristics for a radiation-absorbing hybrid nanofluid within an electromagnetically driven rotating vibrator channel, considering coupled pressure gradients, Hall/ion-slip phenomena, and porous medium effects. The configuration features a stationary right boundary and an oscillating left wall with three distinct excitation modes (impulsive, cosinusoidal, and sinusoidal) for both velocity and thermal boundary conditions. The governing time-dependent PDE system is solved analytically through Laplace transform techniques, yielding exact solutions for all flow variables. Parametric studies reveal that: (i) Main flow velocity is attenuated by the Coriolis force, which concurrently amplifies cross-flow velocity, (ii) Hall currents alter velocity profiles, enhancing streamwise flow while diminishing cross-stream motion, (iii) higher oscillation frequencies promote a stabilization of the flow field, and (iv) modified Hartmann numbers exhibit dual effects—strengthening primary wall shear while weakening secondary shear components. Thermal radiation parameters consistently enhance the rate of heat transfer at the vibrating boundary. The artificial neural network model achieves remarkable prediction accuracy, with training/validation scores of 99.307%/99.40% for primary shear stress, 96.202%/98.762% for secondary shear stress, and perfect 100%/98.64% agreement for rate of heat transfer, demonstrating exceptional reliability in capturing the complex thermofluidic interactions.
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