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Viscosity Index Improvers, as the name states, improve the Viscosity Index, which of course is the spread between the 40C and 100C visc. VII is how you get oils like TGMO 0W-20 with a VI over 200 for example, you are limited to around 140-150 (though Dave has made an exception to that) when limited by the VI of the base oils.I do have a question… The “Winter” number is actually above the ambient temperature in almost all instances and you really need to know where the viscosity at startup is. 5w20 has less VII than 0w20. Are VII only targeting down to 104 deg. F and 5w20 actually thinner at ambient start temperature due to much less VII? Of course the base oil type would get into this as how much that base oil gives you a better VI.
The effect of VII decreases with temperature, they "coil up" and contribute less and less as the temperature is reduced.
Widman has a VI calc on his site:
Viscosity index | Widman International SRL
I'd recommend playing around with it a bit to get a "feel" for how this works.
For example, let's choose an 8cSt (@100C) oil.
If it's 45cSt @ 40C, the VI is 151
If it's 40cSt @ 40C, the VI is 178
If it's 35cSt @ 40C, the VI is 212
Typically, the 0W-xx oils have higher VI's. That's not always the case, but typically. Which means they'll also typically be thinner at starting temperatures.