The characterization of velocity and platelet adhesion of blood flow with low hematocrit in a stenosed microfluidic channel is explored with various flow conditions. The complex flow behavior arises by the platelet aggregation along the post and pre parts of stenosis is caused by the shear force and the blood flow is smooth along the other parts of the channel. A viscoelastic model is used to apprise the effect of blood elasticity due to an abrupt change of the flow rate in the middle of the channel cross section. An analytical estimation of the potential and velocities are made in both homogeneous and expanded region. The two dimensional analysis of platelet adhesion and blood flow velocity is numerically computed using the incompressible Navier-Stokes (N-S) equations through a finite volume method using staggered grid approach. The analytical estimation of blood flow velocity and potential is made by assuming the viscosity represented by power law model and compared with the existing experimental results under the assumptions that the flow is fully developed and unidirectional. The main influencing parameters for the stream wise velocity are the reduction and extension of shear effects as well as channel surface area found a notable hydrodynamic drag force which is responsible for the platelet adhesion at different levels of the channel. The proposed study can be considered as a major tool to observe the area of the platelet adhesion inside the microfluidic channels and the stenotic sections which is almost blocked even with the absence of fully integrated sensors, tedious labeling and calibrations.