Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature

‎This study explores the time-dependent flow of MHD Oldroyd-B fluid under the effect of ramped wall velocity and temperature‎. ‎The flow is confined to an infinite vertical plate embedded in a permeable surface with the impact of heat generation and thermal radiation‎. ‎Solutions of velocity‎, ‎temperature‎, ‎and concentration are derived symmetrically by applying non-dimensional parameters along with Laplace transformation (LT) and numerical inversion algorithm‎. Graphical results for different physical constraints are produced for the velocity‎, ‎temperature‎, ‎and concentration profiles‎. ‎Velocity and temperature profile decrease by increasing the effective Prandtl number‎. ‎The existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity‎. ‎Velocity is decreasing for \kappa‎, ‎M‎, ‎Pr_{reff,} and S_{c} while increasing for G_{r} and G_{c}‎. ‎Temperature is an increasing function of the fractional parameter‎. ‎Additionally‎, ‎Atangana-Baleanu (ABC) model is good to explain the dynamics of fluid with better memory effect as compared to other fractional operators‎.

Keywords:

Oldroyd-B fluid , Fractional differential operator , Ramped velocity and temperature