analytical model

In technical literature some models are quoted to calculate the friction coefficient as a function of rolls roughness and process temperature:

[1] for chilled and smooth steel rolls         μ=0,55 (1,05-0,0005 T)

[2] for ground steel rolls                           μ=0,8 (1,05-0,0005 T)

[3] for cast iron and rough steel rolls         μ=1.05-0,0005 T

with T rolling temperature in °C