$A_1$	First Rivilin–Ericksen tensor	$a$	Amplitude of peristaltic wave
$c$	Wave speed	$d$	Dimensionless width of the channel
$\mathcal{X}$	Compressibility parameter	$S$	Extra stress tensor
$V$	Velocity of field	$\langle u\rangle$	Axial velocity
${\lambda }_1$	Relaxation time	$\rho$	Density
$Re$	Reynold number	$ϵ$	Amplitude ratio
$\alpha$	Wave parameter	$\langle Q\rangle$	Flow rate