Rolling friction of a hard cylinder on a viscous plane

The resistance; against rolling of a rigid cylinder on a flat viscous surface is investigated. We found that the rolling-friction coefficient reveals strongly non-linear dependence on the cylinderʹs velocity. For low velocity the rolling-friction coefficient rises with velocity due to increasing defurmation rate of the surface. For larger velocity, however, it decreases with velocity according to decreasing contact area and deformation of the surface.