Dual solution framework for mixed convection flow of Maxwell nanofluid instigated by exponentially shrinking surface with thermal radiation

Abstract

Abstract This paper presents the analysis of transfer of heat and mass characteristics in boundary layer flow of incompressible magnetohydrodynamic Maxwell nanofluid with thermal radiation effects confined by exponentially shrinking geometry. The effects of Brownian motion and thermophoresis are incorporated using Buongiorno model. The partial differential equations of the governing model are converted in non-dimensional track which are numerically inspected with proper appliances of Runge–Kutta fourth order scheme.The significant effects of heat and mass fluxes on the temperature and nanoparticles volume fractions are investigated. By the increases in Lewis number between $$1.0$$ 1.0 to $$2.0$$ 2.0 , the decrease in nanoparticle volume fraction and temperature is noted. With the change in the Prandtl constant that varies between $$0.7$$ 0.7 to $$1.5$$ 1.5 , the nanoparticles volume fraction and temperature are dwindled. Nanoparticles volume fraction and temperature distribution increase is noted with applications of radiation constant. With consequent variation of thermophoresis parameter between $$0.1$$ 0.1 to $$0.8$$ 0.8 , nanoparticles volume fraction and temperature distribution increases. It is also noted that the increase in thermophoresis parameter and Brownian parameter from $$0.1$$ 0.1 to $$0.8$$ 0.8 , nanoparticles volume fraction decreases while temperature distribution increases.