TY - JOUR
TI - Effect of fractional order on unsteady magnetohydrodynamics pulsatile flowof blood inside an artery
AU - Sadaf Maasoomah
AU - Khan Ayesha
AU - Perveen Zahida
AU - Akram Ghazala
AU - Abbas Muhammad
JN - Thermal Science
PY - 2023
VL - 27
IS - 2
SP - 1727
EP - 1734
PT - Article
AB - This manuscript aims to investigate the velocity profile for the blood flow  through an artery subject to magnetic field. It has been investigated how  periodic acceleration of the body and slip conditions affect the irregular  pulsatile blood flow across a porous media inside an artery if a magnetic  field is present, under the assumption that blood is an incompressible  electrically conducting fluid. A mathematical formulation involving Caputo  fractional derivative serves as the basis of study. An analytical solution  for fluid velocity is developed with the help of finite Hankel and Laplace  transforms. The influence of fractional order on the fluid velocity is  illustrated with the help of graphical simulations. The obtained results  will be helpful in future research for the treatment of stenosis and other  cardiovascular diseases.