The purpose of engineering laws is to describe parametric behavior. Experiments indicate that h is a constant or a variable. The law of convection heat transfer cannot be q = hΔT because it states that h is always a constant. Since sometime near the beginning of the 20^th century, the equation q = h{ΔT}ΔT has been the de facto law of convection heat transfer because it states that h is a constant or a variable. q = h{ΔT}ΔT is NOT dimensionally homogeneous if h is a variable because the dimension of q is not equal to the dimension of h{ΔT}ΔT. q = hΔT is not acceptable because it states that h is always a constant. q = h{ΔT}ΔT is not acceptable because it is not dimensionally homogeneous if h is a variable. A new law is required that always describes behavior, and is always dimensionally homogeneous.

Convection heat transfer, de facto law of convection heat transfer, Fourier, law of convection heat transfer, nonlinear heat transfer behavior