For nanomaterials aggregation impacts, the Falkner–Skan problem for shrinking/stretching wedge is generalized. The simulation is performed in the presence of a heat source, magnetic field, chemical reaction, suction/injection, and thermal radiation effects. Modifications of the Krieger–Dougherty model, as well as the Bruggeman and Maxwell models, are developed to approximate the thermal conductivity and viscosity of TiO2/ethylene glycol (EG) nanofluid (NF) to accommodate for nanoparticle (NP) aggregation influences. The system of equations describing the Falkner–Skan dilemma for wedges with NP aggregation impacts is translated using resemblance substitution and computed using the “parametric continuation method (PCM)” algorithm. The outcomes are justified by comparing them to the existing literature and the “bvp4c” package. The NP aggregation consequences are seen to be significantly strong even when the NP concentration is modest, as prior published experimental research has revealed. In comparison to the lack of NP aggregation effects, the heat transference rate of TiO2/EG NF is greater. The velocity, thermal efficiency, and mass transition rate of TiO2/EG NF boost with the inclusion of titanium dioxide NPs in the working fluid EG.
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