Several polymers like ethylene glycol exhibit non-Newtonian rheological behaviors. Ethylene glycol is a world-widely used engine coolant and therefore, investigation of thermal enhancement by dispersing mono and hybrid nanoparticles in ethylene glycol is worthful. Since, ethylene glycol has shear rate-dependent viscosity and it obeys the power law rheological model. Therefore, based on these facts, the power-law rheological model is used with thermophysical properties are augmented with basic laws of heat transfer in fluid for the modeling of considered physical situations. M oS 2 are taken as mono-nanoparticles where M oS 2 and SiO 2 are taken as hybrid nano-sized particles. Comparative study for the enhancement of thermal performance of M oS 2 ethylene glycol and M oS 2 −SiO 2 − ethylene glycol is done. For energy conservation, non-Fourier’s law of Cattaneo-Christov is used. Power law fluid becomes more heat generative due to dispersion of M oS 2 and SiO 2. However, M oS 2 −power law fluid is less heat generative relative to M oS 2 − SiO 2-nanofluid. Thermal relaxation time is found proportional to the ability of the fluid to restore its thermal equilibrium.