For conductive heat loss, you likely have 2 (or more) equations.

Heating:

Likely something like 1 degree heating per every 100 mph (starting at 0 mph).

So, an equation of the form:

**Temperature Object**_{(Actual)} = Temperature Object_{(Intitial)} * (Wind Speed / 100)

Cooling (conductive/convective heat loss, ignoring evaporation).

Based on difference between object temperature and wind temperature.

It would reach an asymptote at the wind temperature (again ignoring evaporative heat loss).

**Temperature Object**_{(Actual)} = Air Temperature + ((Temperature Object_{(Intitial)} - Air Temperature) / (Wind Speed + 1))

Now that you have 2 equations, you would solve for the Temperature Object_{(Actual)} = Temperature Object_{(Initial)} for non zero wind speeds.

I just made up the constants, but the equations would be similar.

What pops out of this...

If the Air Temperature > Object Temperature, then you should see both conductive/convective heating AND Friction heating for all wind speeds > 0 (again ignoring evaporation).

If the Air Temperature < Object Temperature, the you could likely simplify the second equation by setting the temperature difference to being the difference between the object temperature and the air temperature, then solving the first equation for that difference.

Perhaps I'm calculating temperature when I should be calculating heat flux. It probably would depend on surface area and turbulence. And, for the convective/conductive heat loss, it would also depend on the ability of the object to compensate.

But, the idea would be the same.

For friction, the heat flux would increase linearly, or perhaps logarithmically with wind speed, and always be positive.

For convection/conduction, the heat flux would be similar. Still bound by the difference of object and air temperatures, but also dependent on the ability of the skin of the material to conduct temperature.

Altitude and density of the air would also factor in somewhere.