Mathematical analysis of the rolling of flat strip reveals that the roll-separation force (the squeezing force required to deform the strip) is directly proportional to the term
1 + K1mL / tav
where
K1 = geometric constant
m = friction factor
L = length of contact
tav = avarage thickness of the strip in the roll bite
Since L is proportional to the roll radius, R, K1L can be replaced by K2R, so the force becomes proportional to the term:
1 + K2mR / tav
If K2 and m are both positive numbers, how will the roll-separation force change as the strip becomes thinner? How can this effect be minimized? Relate your observations to the types of rolling mills used for various thicknesses of product.