Nanofluid Flow on a Shrinking Cylinder with Al2O3 Nanoparticles

This study investigates the nanofluid flow towards a shrinking cylinder consisting of Al2O3 nanoparticles. Here, the flow is subjected to prescribed surface heat flux. The similarity variables are employed to gain the similarity equations. These equations are solved via the bvp4c solver. From the findings, a unique solution is found for the shrinking strength lambda >= -1. Meanwhile, the dual solutions are observed when lambda c<-1. Furthermore, the friction factor Rex1/2Cf and the heat transfer rate Rex-1/2Nux increase with the rise of Al2O3 nanoparticles phi and the curvature parameter gamma. Quantitatively, the rates of heat transfer Rex-1/2Nux increase up to 3.87% when phi increases from 0 to 0.04, and 6.69% when gamma increases from 0.05 to 0.2. Besides, the profiles of the temperature theta(eta) and the velocity f'(eta) on the first solution incline for larger gamma, but their second solutions decline. Moreover, it is noticed that the streamlines are separated into two regions. Finally, it is found that the first solution is stable over time.

Automated summary

This study investigates the nanofluid flow towards a shrinking cylinder with Al2O3 nanoparticles, finding a unique solution for the shrinking strength lambda >= -1 and dual solutions when lambda c<-1. Additionally, it shows that the friction factor and heat transfer rate increase with the rise of Al2O3 nanoparticles and curvature parameter.