This work investigates the heat transmission properties of Darcy–Forchheimer MHD water-based ternary nanofluids, which contain \(\text{SWCNTs}, \text{TiO}_2,\) and \(\text{MoS}_2\) nanoparticles covering 6% of total volume. A mathematical model of flow problems for linear and nonlinear thermal radiations is developed to examine their effects on momentum, temperature distribution and the concentration profile. Using appropriate similarity transformations, governing equations are converted into a series of ODEs that are then numerically solved using the MATLAB bvp4c approach. Numerical simulations and entropy generation studies show that nonlinear thermal radiation significantly impacts temperature profile as well as Nusselt number of ternary nanofluids. The nonlinear thermal radiation model surpasses the linear model in terms of temperature and Nusselt number, with greater sensitivity to fluctuations in Rd, M, \(k^*\) , Fr, Gr, Q, Ec, and \(\gamma\) . The outcomes highlight the potential of MHD ternary nanofluids in improving solar energy conversion efficiency, notably through nonlinear thermal radiation. This comparative study emphasizes the benefits of MHD ternary nanofluids in improving solar radiation utilization efficiency, highlighting the importance of nonlinear thermal radiation characteristics in such applications.
