Why q = h{ΔT}ΔT Has Been the de facto Law of Convection Heat Transfer for More Than 100 Years

Eugene F. Adiutori^1,

¹Ventuno Press, 1094 Sixth Lane N., Naples, FL 34102

Cite this paper:
Eugene F. Adiutori. Why q = h{ΔT}ΔT Has Been the de facto Law of Convection Heat Transfer for More Than 100 Years. American Journal of Mechanical Engineering. 2023; 11(4):141-142. doi: 10.12691/ajme-11-4-3

Abstract

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.

Keywords:
Convection heat transfer de facto law of convection heat transfer Fourier law of convection heat transfer nonlinear heat transfer behavior

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References:

[1]	Fourier, J., 1822, The Analytical Theory of Heat, 1955 Dover edition of 1878 English translation.
[2]	Newton, I., The Principia, 1726, 3rd edition, translation by Cohen, I. B., and Whitman, A. M.,1999, p. 460, University of California Press.