Thermal enhancement in Falkner–Skan flow of the nanofluid by considering molecular diameter and freezing temperature

Abstract

AbstractThe analysis of nanofluids heat transfer over a wedge is very important due to their wider applications in applied thermal engineering, chemical engineering and biomedical engineering etc. Therefore, aim of the study is to explore the heat transport in nanofluid over a wedge (Falkner Skan flow) under viscous dissipation and thermal radiation over a wedge. The proper model formulation is carried out via similarity relations and empirical correlations of the nanofluids. After successful model transformation, numerical scheme (RK technique along with shooting technique) applied and furnished the results over the desired domain under varying effects of preemenant flow parameters. The results revealed that the velocity rises for opposing ($$\gamma <0$$ γ < 0 ) and assisting ($$\gamma >0$$ γ > 0 ) flows against $$\lambda$$ λ and significant contribution of Ec and imposed thermal radiations (Rd number) observed in thermal performance of the nanofluid. The temperature declines by strengthen $$\lambda$$ λ and optimum decrement is noted for opposing flow. Finally, a comparison is provided for various values of $$\lambda$$ λ ($$\lambda =\mathrm{0,0.014}, 0.04, 0.09, 0.1429, 0.2, \mathrm{0.333,0.5}$$ λ = 0 , 0.014 , 0.04 , 0.09 , 0.1429 , 0.2 , 0.333 , 0.5 ) with previously published work under certain restrictions and found an excellent agreement.