My work involves investigating the effect of non-Newtonian viscoelastic lubricants on hydrodynamic lubrication using computational and numerical techniques. I developed an in-house code in C++ using the OpenFOAM library to perform the Direct Numerical Simulation (DNS) of the lubricating flow and a reduced model of the flow was solved using code developed from scratch in Python. The specific aim of the study is to identify possible improvements in the load carrying capacity of the bearing/sliding surfaces thereby, reducing friction and enhancing the life of the machine element.