Unsteady Mixed Convection Heat Transfer of Fractional Viscoelastic Nanofluids over an Inclined Plate

Abstract

This study aims to investigate the unsteady mixed convection boundary layer heat transfer of fractional viscoelastic nanofluids over an inclined plate. The Scott Blair model and fractional Fourier's law are introduced in the constitutive relations. The boundary layer equations are solved by a finite difference method. The results show that the convection flow and heat transfer are weakened by the velocity and temperature fractional derivative parameters $\alpha$ and $\beta$ , respectively. The effects of the involved parameters (nanoparticle volume fraction, magnetic parameter, and inclined angle) on the velocity and temperature fields are analyzed in detail.