The research of heat and mass transfer enhancement is influenced by several physical effects such as thermal conductivity, heterogeneous catalytic reaction, heat source/sink, thermal radiation and suction/injection, and is a significant area of study, particularly in the field of applied materials science, nanotechnology and mechanical engineering. The main objective of this research is to analyze and explore the heat and mass transfer of a novel ternary hybrid nanofluids binary nanofluid flow while considering the influences of the control parameters mentioned earlier. The model is developed for Hamilton and Crosser to analyze the radiation mechanism in a fluid system subjected to a Riga wedge. Due to the upgraded thermal transportation, the novel ternary hybrid nanofluids (THNs) show great potential in addressing these difficulties because of their significant properties, which include enhanced thermal conductivity, convective thermal transport and the ability to improve autocatalysis reactions. The governing model equations and boundary conditions are nondimensionalized by introducing suitable similarity transformations. Thereafter, the computational Chebyshev collocation spectral technique implemented in the MATHEMATICA 11.3 environment is used to calculate the numerical solution. The THNs demonstrate an efficiency rate of about 2.79%, with a minimum efficiency rate of 3.27%. It has been revealed that heat generation and solar radiation parameters are significant physical features for enhancing heat transfer processes.