Viscoelastic nanofluid motion for Homann stagnation-region with thermal radiation characteristics

Abstract

The problem of Jeffrey’s nanofluid for a modification of Homann’s exterior potential flow in the stagnation region is modeled over a cylindrical disk. The characteristic of electrically conducting nanofluid flow with a time-independent free stream is noted as well. Due to this, a new family of asymmetric flows is created, which mainly depends on the viscoelastic parameter [Formula: see text] magnetic parameter [Formula: see text] and the stress-to strain rate ratio, i.e., [Formula: see text] By deploying Buongiorno’s model and Rosseland’s approximation, the outcomes of the Brownian diffusion, thermophoresis, and solar radiation on the mass and thermal boundary layer are also scrutinized. The conservation laws are remodeled by a similarity transformation, and the governing equations are solved by a builtin program bvp4c in Matlab. Furthermore, a comparison is made between the numerical outcomes and their large- γ asymptotics for wall stresses and displacement thicknesses. It is discovered that due to the impact of Jeffrey’s material parameters and magnetic field, when [Formula: see text] reaches infinity, along the x-axis the two-dimensional displacement thickness and the coefficient of skin friction are closer to their asymptotic values; however, along the y-axis, they exhibit opposite trend. Moreover, the thermal and mass transport is enhanced due to significant contributions of nanofluid conductivity.