@ARTICLE{10.21494/ISTE.OP.2024.1074, TITLE={Mathematical Modeling and Numerical Simulation of Viscoelastic Flow between two Eccentric Cylinders - Case of Journal Bearing}, AUTHOR={M. Guemmadi , F.Brahimi , A.Ouibrahim, }, JOURNAL={Entropy: Thermodynamics – Energy – Environment – Economy }, VOLUME={5}, NUMBER={Special issue IEES}, YEAR={2024}, URL={https://openscience.fr/Mathematical-Modeling-and-Numerical-Simulation-of-Viscoelastic-Flow-between-two}, DOI={10.21494/ISTE.OP.2024.1074}, ISSN={2634-1476}, ABSTRACT={The analytical resolution of general equations of thin film for a viscoelastic fluid described by an Upper Convected Maxwell model is as high as possible given the complexity of the equations. This then leads us to the need to use numerical resolution for such systems. In this paper, we present a comparative numerical study of the hydrodynamic lubrication by a Newtonian fluid and an Upper Convected Maxwell fluid at low relaxation time, both to compare and validate the computer codes developed in C++ in the field of hydrodynamic lubrication of plain bearing. Then, we present a study of the influence of the kinematic (shaft rotational speed) and geometrical characteristics (eccentricity of the bearing) on the pressure fields, stresses and the hydrodynamic force. The results obtained, show that the hydrodynamic force is more important in the case of a lubricant of type UCM than that of a Newtonian fluid. It is therefore more interesting to use a UCM lubricant than a Newtonian lubricant.}}