This paper deals with the study of the effect of axial grooves on thermal behavior and pressure distribution in a hydrodynamic bearing under the influence of thermal elastic deformation. The twodimensional Reynolds equation has been numerically solved using a computer program (Matlab) to find the values of pressure on the bearing and calculate the net force, taking into account the effect of both thermal and elastic deformation on the values of permittivity (clearance) and then pressure, and their effect on the Thermal behavior and pressure curve. The results showed that the axial grooves in the hydrodynamic bearing contribute to a decrease in the maximum values of pressure and temperature rates of the bearing and a decrease in the values of the absorbed power.

Keywords : Reynolds, Hydrodynamic Bearing, Finite Difference Method, Stiffness Modulus.