With the advancement of computer power, computational solution is considered as a useful predictive tool for study of the blood flow through a diseased artery. The blood flow is governed by the continuity and Navier-Stokes equations. Womersley number and Reynolds number are physiologically important non-dimensional flow parameters and have existence in the non-dimensional governing equations. In the computational solution, the mathematical flow modelled is established considering some boundary conditions, and then it is solved by numerical simulations. The governing equations are converted to discretised form and then solved numerically by readily available commercial CFD software and/or by in-house developed CFD code using appropriate algorithms. Grid independence test and validation of CFD model are the crucial parts of computational solutions. The chapter delivers the knowledge on impact of fluid mechanics on arterial diseases and computational solution techniques.