There is no such thing as an exact coefficient of friction between two materials. The friction is a function of the materials, their surface properties, surface roughness, surface topology, speed, load, lubricant properties, amount of lubricant, entrance conditions (is the leading edge sharp or upturned like a ski?), and more. Some search terms are Stribeck curve, tribology, friction, and coefficient of friction.
There is an SAE paper, 950698, titled Variation of Friction in a Strip Test Apparatus with Controllable Drawbead Penetration, that goes into the reasons why the friction coefficient changed (for example) from 0.15 to 0.075 and back to 0.15 during a single test. It was not due to the Stribeck curve. And it was repeatable with different materials, lubricants, and test conditions.
If you need a reasonably accurate friction coefficient, you will need to do your own testing.