Formation of hydrogen bonding during the Homann flow over a cylindrical disk of variable visco-elastic nano-materials in presence of activation energy

The goal of this study is to deliberate the flow, heat, and mass transfer of Walter's B nanofluid over a cylindrical disk in the existence of a non-uniform heat source/sink. Unsteadiness, fluctuating thermal conductivity, activation energy and binary chemically reactive species are all taken into account. Additionally, momentum, temperature and concentration are expressed with new parameters in the form of combined parameter, Lewis number, activation parameter, temperature difference parameter, Biot number, heat source parameters and reaction rate parameter. Furthermore, the problem is represented applying non-linear PDE's, which are then transformed to ODE's using geometric conditions provided. However, when the momentum equation is exposed to inadequate boundary conditions, the order of the ODE is reduced using the perturbation approach. As a b -> infinity ., it is seen that displacement thicknesses increase and tend to their asymptotic value. For the same increasing values of the viscoelastic parameter, the displacement thickness delta 1 is obtained in reverse trends. With an upward trend, the skin friction f ''(0) variation is seen versus the viscoelastic parameter when a / b -> infinity and vice versa for g '' ( 0 ) .

Automated summary

The goal of this study is to investigate the flow, heat, and mass transfer of Walter's B nanofluid over a cylindrical disk in the presence of a non-uniform heat source/sink. Various factors such as unsteadiness, fluctuating thermal conductivity, activation energy, and binary chemically reactive species are considered. The problem is solved using non-linear partial differential equations transformed into ordinary differential equations. Interesting results are obtained, such as the increase in displacement thickness with infinite b and the reversed trend of displacement thickness with increasing viscoelastic parameter.