$r$	Radial direction (m)	$R$	Radius of the cylinder (m)
$z$	Axial direction (m)	$H$	Magnetic field intensity (Am−1)
$\varphi$	Tangential direction (rad)	$m$	Effective magnetization parameter
$u$	Radial velocity (ms−1)	$\kappa$	Thermal conductivity (Wm−1K−1)
$v$	Axial velocity (ms−1)	$\omega$	Angular velocity (rad s−1)
$w$	Tangential velocity (ms−1)	$T$	Blood temperature (K)
$f$	Dimensionless component of axial velocity	$T_w$	Rotating cylinder temperature (K)
$g$	Dimensionless component of tangential velocity	$T_c$	Curie temperature or blood temperature away from the surface (K)
$\mu$	Viscosity of blood (Kgm−1s−1)	$\nabla$	Gradient operator (m−1)
$\rho$	Density of blood(Kgm−3)	$M$	Magnetization (Am−1)
${\mu }_0$	Magnetic permeability of free space (Hm−1)	$\phi$	Particles volume fraction
$\beta$	Ferromagnetic interaction parameter	$\epsilon$	Dimensionless temperature parameter
$\mathrm{Pr}$	Prandtl number	$D$	Curvature parameter
$\lambda$	Viscous dissipation parameter	$Ec$	Eckert number
$\theta$	Dimensionless temperature	$C_p$	Specific heat (JKg−1 K−1)
$K$	Proyamagnetic coefficient	${( )}_{mf}$	Magnetic fluid
${( )}_f$	Base fluid (blood)	${( )}_s$	Magnetic particles (CoFe2O4)