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In this precise mathematical calculation we have got modeling of abnormal blood flow. This fluid model is used to get axial velocity of blood with slip condition in the presence of obstacle i.e. stenosis. Abnormality results of Non-Newtonian condition of blood are displayed graphically for different flow properties with different parameters like length of contraction, viscosity of blood, stenosis length and height etc. The significance of present study may be useful to identify same cardio vascular deceases.doi:10.5281/zenodo.2561524 fatcat:dhztspyxgbgezhca6uvyak5hiy