TY - JOUR
ID - 12288
TI - Fractional study on heat and mass transfer of MHD Oldroyd-B fluid with ramped velocity and temperature
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Iftikhar, Nazish
AU - Saeed, Syed Tauseef
AU - Riaz, Muhammad Bilal
AD - Department of Sciences and Humanities, National University of Computer and Emerging Sciences, Lahore Campus, Pakistan.
AD - Department of Mathematics, University of Management and Technology, Pakistan.
Y1 - 2022
PY - 2022
VL - 10
IS - 2
SP - 372
EP - 395
KW - Oldroyd-B fluid
KW - Fractional differential operator
KW - Ramped velocity and temperature
DO - 10.22034/cmde.2021.39703.1739
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_12288.html
L1 - https://cmde.tabrizu.ac.ir/article_12288_b8aacd078bc8ae25b736b0c1fc6a9837.pdf
ER -