Abstract Non-Newtonian hybrid nanofluids (NNHNFs) have a wide range of applications. Examples include optimized conveyance of heat, cooling, and maintenance in mechanically operated drug delivery, improved efficacy in microfluidic gadgets, advanced substance manufacturing, and energy-related uses such as energy storage and solar collector systems. For this purpose, the flow of NNHNFs past a porous Riga surface is examined. Two different types of NNHNFs known as SG (second-grade) and Walter’s B (WB) fluids have been considered. Molybdenum dioxide (MoS 2 ) and single-walled carbon nanotube (SWCNT)-nanoparticles (NPs) are used in the base fluid sodium alginate (SA; C 6 H 9 NaO 7 ) to prepare the hybrid nanofluid (HNF). The NNHNF flow is designed in the form of a non-linear system of partial differential equations, which are simplified to the dimensionless form of ordinary differential equations by using similarity transformation and then numerically handled through the BVP4C package. The numerical outcomes of the proposed model are compared with the published literature for validity purpose. The present results reveal higher similarity to the existing study. A stability analysis has also been performed to see which solution is stable in practice. From the graphical outcomes, it can be determined that the fluid temperature declines with the effect of MoS 2 and SWCNT-NPs. Furthermore, with the increase of MoS 2 and SWCNTs NPs in the SA-based HNF, the energy transfer rate enhances from 3.79 to 8.25% (in the case of SG hybrid nanoliquid), whereas in the case of WB HNF the energy transfer rate enhances from 3.88 to 9.86%.
Bilal et al. (2025) studied this question.