This study inspects the properties of Stephan blowing and thermal radiation on trihybrid nanofluid convective flow with thermophoretic and electrophoretic particle deposition using LTNECs (local thermal non-equilibrium conditions). A trihybrid nanofluid consists of
,
,
, and silicone oil as the base liquid is used. The proposed approach can be used in a variety of engineering processes and sophisticated heat management systems. By employing trihybrid nanofluids with enhanced thermal conductivity, it can be used to increase heat transmission efficacy in electronic cooling devices, nuclear reactors, and solar energy systems. Furthermore, it is pertinent to the design of effective cooling systems in aerospace engineering and the optimization of chemical reactors due to the incorporation of Stephan blowing effects and LTNECs. The method has significant results for biomedical engineering as well, particularly in drug delivery systems and hyperthermia therapies where exact heat control is essential. The governing equations’ numerical results can be obtained by applying the analytical method bvp4c. The solid phase thermal distributions decrease as the interphase heat transfer parameter rises for both the classical and modified Hamilton-Crosser models, whereas the liquid phase thermal distribution and the solid and liquid rate of heat transmission increase.