%0 Journal Article %T Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature %J Computational Methods for Differential Equations %I University of Tabriz %Z 2345-3982 %A Iftikhar, Nazish %A Saeed, Syed Tauseef %A Riaz, Muhammad Bilal %D 2022 %\ 04/01/2022 %V 10 %N 2 %P 372-395 %! Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature %K Oldroyd-B fluid %K Fractional differential operator %K Ramped velocity and temperature %R 10.22034/cmde.2021.39703.1739 %X ‎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. %U https://cmde.tabrizu.ac.ir/article_12288_b8aacd078bc8ae25b736b0c1fc6a9837.pdf