3. Hydrodynamic lubrication of the rigid cylinder

3.1 Isoviscous regime – Martin's theory (1916)

After studying the lubrication of gears, in 1916 H.M Martin presented the study of contact between a long cylinder and a plane, assuming the surfaces to be undeformable and the fluid viscosity to be constant .

Consider two long cylinders of length L _o, with parallel axes and radii R ₁ and R _2, driven in rotation and which have in the contact zone the tangential linear velocities u...