TY - JOUR
T1 - Mathematical Study of Fractional Magnetohydrodynamic Blood Flow Nanofluid in Activation of Thermal Radiation with Wright Function
AU - Essono , R.
AU - Kofané , T. C.
AU - Tabi , C. B.
JO - African Journal for Industrial and Applied Mathematics
VL - 1
SP - 1
EP - 19
PY - 2025
DA - 2025/06
SN - 1
DO - http://doi.org/10.4208/ajiam.2025-0001
UR - https://global-sci.org/intro/article_detail/ajiam/24219.html
KW - Nanoparticles, Caputo fractional order derivatives, Wright function.
AB - <p style="text-align: justify;">A study of magnetohydrodynamics model of blood flow is made with
single walls carbon nanotubes, copper (Cu), tin $({\rm TiO}_2),$ and alumina $({\rm Al}_2{\rm O}_3)$ and
Cu as base nanoparticles through a circular cylinder. The fluid inside the tube is
acted by an oscillating pressure gradient and an external constant magnetic field.
The whole study is based on a mathematical model that includes Caputo fractional-order derivatives. Solutions for the blood velocitie, blood temperature distribution,
and blood concentration distribution are obtained through the Laplace transform
and expressed by the Wright function. Effects of the fractional-order parameter,
magnetic field, the magnetic parameter $M,$ the Grashof numbers Gr and Gm, the
dimensionless time $t,$ and the Prandtl parameter $Pr$ are addressed using numerical
simulations. Results show that the applied magnetic field reduces the velocities of
the fluid and particles. However, under long time intervals, particles seem to be accelerated, but their velocity is suitably controlled by the fractional-order parameter.</p>