So, why bother with wide, low profile tyres at all? Why not simply have narrow, high profile tyres? The simple reply to that is heat (remember, we are simply talking grip here, not the niceties of handling finesse). The point is that, to get a contact patch of a certain size on the road, you need a certain portion of the tyre to be flat. Taking the contact patch to be basically rectangular (though it is actually partially oval in shape), then the area of that patch will be its length times its width. Now, for a narrow tyre, the contact patch will be quite long compared with a wide tyre.
This introduces two problems for the tyre.
First, to get that long flat section to give the required contact patch, the sidewall of the tyre needs to deform quite a lot. This deformation actually causes the bending and unbending the rubber of the sidewall as it flattens and then the tread curves again. This bending and unbending process results in a lot of heat being generated. (Think about bending and unbending a piece of wire rapidly, and how hot it gets as you do so. If you bend it less, but at the same frequency, less heat will be generated). Obviously, the more it needs to bend, the greater the amount of heat generated.
The second relates to the length itself. There will be a greater percentage of the tyre tread in contact with the road than if the contact patch length were shorter; this reduces the amount that the tread can cool. Also, there is a greater percentage of sidewall at any given time that is actually under bending stresses, again resulting in less opportunity to cool.
So, how much extra bending do you really get, and how much is potential tread cooling reduced? Let’s take a theoretical example, and take a 155-width tyre compared with a 225 tyre of the same circumference. Agreed, this is an extreme example, but it will suit our point very well. Assume that the wheel/tyre-unloaded circumference is 60cm. Assume the tyre pressure is 30 psi, and that the weight on the wheel is 600lb, giving an area of 20 square inches (or 129 square cm). Assuming that the contact patch is rectangular, with the wider (225) tyre, the patch will be 5.73cm long, and with the 155 tyre, the patch will be 8.32cm long. Now, the circumference of the wheel-tyre combination is 188cm, so the 225 is heating for 3% of its cycle, and cooling 97%, whereas the 155 is heating for 4.5% of the cycle and cooling for 95.5%. So, you can see that the narrower tyre is generating heat 50% longer than the 225, and is not spending so much of its cycle cooling.
Now, as far as heating of the tyre is concerned, simple geometry shows us that the 155 tyre bends by 0.29cm, and the 225 bends by 0.14cm. Now, assuming that the heating of the tyre is roughly proportional to the deformation, let’s find out the results of all of this. We will multiply the deformation by the percentage of time the tyre sidewall is under stress, and divide this number by the percentage of time that the tyre is being cooled. Multiplying the resulting numbers by 100, we get a figure of 1.37 for the 155 tyre, and 0.43 for the 225. Dividing the 155 tyre’s number by that of the 225, we find that the heat generation of the 155 is 3.2 times that of the 225! This is quite an amazing result, given that the 225 is only 45% wider than the 155.
As a result on this increased generation of heat, and the reduced capacity for self cooling, the tyres need to be made of a harder rubber compound that is more able to resist heat. This harder compound will, of necessity, have a reduced coefficient of friction, particularly when cold. The tyres that are wider can have a softer compound with better frictional properties. Due to the reduced bending stresses, and greater cooling opportunities, the tyre will tend to stay within a narrow temperature range quite consistently, giving greater cold grip, while managing to have a reduced propensity for overheating. Obviously, this makes for a better performance tyre.
On the issue of wheel size (the diameter, not the width), it is therefore clear that increasing the wheel/tyre diameter combination is beneficial. The reason for this is that the tyre will not have to deform so much to get the required contact patch length, and the percentage of the tyre tread in contact with the road will be less than for a smaller diameter combination