LAUSR

Abstract This study aims to examine the magnetohydrodynamic (MHD) effect on the blood flow of a Casson fluid in a vertical cylinder. Blood is taken as a non-Newtonian viscous fluid due to the viscosity which depends on the volume fraction of red blood cells. The effect of magnetic field on blood and particles velocities with temperature distribution has been studied. Using the definition of Atangana-Baleanu fractional derivatives, the classical model which governs the flow has been generalized and the exact solution of the problem has been obtained by applying the joint transformation of Laplace and Hankel. Effects of interesting embedded parameters on both velocities (blood velocity and particles velocity) have been examined and discussed graphically. Results showed that an increase in blood velocity or particle velocity is caused due to increase in Gr and λ, however, a reverse behavior is noticed for higher values of M. Rate of heat transfer at the plate surface is measured using Nusselt number relation. The results are computed and presented in a tabular form.