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The flow of liquids submerged with nanoparticles is of significance to industrial applications, specificallyin nuclear reactors and the cooling of nuclear systems to improve energy efficiency. The application ofnanofluids in water-cooled nuclear systems can result in a significant improvement of their economicperformance and/or safety margins. Therefore, in this paper, Marangoni thermal convective boundarylayer dusty nanoliquid flow across a flat surface in the presence of solar radiation is studied. A two phasedusty liquid model is considered. Unlike classical temperature-dependent heat source effects, an exponentialspace-dependent heat source aspect is considered. Stretching variables are utilized to transformthe prevailing partial differential system into a nonlinear ordinary differential system, which is thensolved numerically via the Runge-Kutta-Fehlberg approach coupled with a shooting technique. The rolesof physical parameters are focused in momentum and heat transport distributions. Graphical illustrationsare also used to consider local and average Nusselt numbers. We examined the results under bothlinear and quadratic variation of the surface temperature. Our simulations established that the impact ofMarangoni flow is useful for an enhancement of the heat transfer rate.

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