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Memory dependent time fractional analysis of unsteady magnetohydrodynamic shear thinning fluid flow over an oscillating sheet
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DOI：10.1016/j.rinp.2026.108702.png)
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Abstract
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• A novel Caputo time-fractional model is developed for Carreau fluid, accurately capturing its memory and hereditary effects. • A unique space and velocity dependent internal heat source is introduced for enhanced thermal realism. • The study quantifies key engineering parameters, showing a 14.5% decrease in Nusselt number with rising permeability. • Advanced vortex identification (Q-criterion) and heatmaps reveal complex flow structures beyond standard profiles.
Keywords:
Fractional calculus
Magnetohydrodynamics (MHD)
Finite difference method
Thermal radiations
Oscillating sheet
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