Numerical simulations are performed for two-dimensional steady and pulsatile flow of blood through a channel with single as well as double stenosis (with varying gap) under aortic conditions (Re = 4000). A shear-thinning model based on experimental data is used for blood. The governing equations are developed in terms of vorticity and stream function and solved using a finite difference scheme with full-multigrid algorithm. Peak wall shear stress increases with both length of stenosis, and gap between stenosis; however, the effect of increasing length is much more compared to gap. Pulsatility plays a key role by shifting the location of peak wall shear stress from the primary to the secondary stenosis, and back again, during a cycle. This result is of importance when developing a model for plaque growth based purely on mechanical factors.