When cool air is blown past a hotter object, heat flows from the hotter object to the cooler air. This cools off the object. The cooling mostly takes place in a thin "thermal boundary layer" adjacent to the surface of the object. Conceptually, outside the boundary layer, the air temperature is at its original cool temperature, but within the thermal boundary layer, the air temperature varies from the object surface temperature to the "free stream" temperature (the cooler bulk temperature of the air). This temperature gradient within the boundary layer results in heat conduction through the boundary layer. The heat flux (heat per unit area) is given by q = k (TS - Tbulk air )/δ , where TS is the surface temperature of the object, Tbulk air is the cooler air temperature outside the boundary layer, k is the thermal conductivity of air, and δ is the boundary layer thickness. The higher the air velocity past the object, the thinner the boundary layer δ. Fluid mechanicists have worked out how to predict quantitatively the boundary layer thickness as a function of the air velocity. But the thing to remember is that, as the velocity of the air increases, the boundary layer gets thinner and the heat transfer rate from the object to the air (cooling rate) increases. This type of heat transfer is often referred to as convective heat transfer, and is often described in terms of a heat transfer coefficient h, which is equal to the thermal conductivity k divided by the boundary layer thickness:
h = k/δ
Thus, in terms of the convective heat transfer coefficient h, the heat flux is given by:
q = h (TS - Tbulk air )
where h increases with the velocity of the cooling air. I hope this helps.