Skin-Friction and Forced Convection from Rough and Smooth Plates
Name
thermo-03-00040.pdf
Size
1.89 MB
Format
Adobe PDF
Checksum (MD5)
256e63eaf84bd72f61a24b7f751b26bd
Author(s)
Jaffer, Aubrey
Date Issued
December 16, 2023
Publisher
Multidisciplinary Digital Publishing Institute
Citation
Thermo 3 (4): 711-775 (2023)
Version
Final published version
Abstract
Since the 1930s, theories of skin-friction drag from plates with rough surfaces have been based by analogy to turbulent flow in pipes with rough interiors. Failure of this analogy at small fluid velocities has frustrated attempts to create a comprehensive theory. Utilizing the concept of a self-similar roughness that disrupts the boundary layer at all scales, this investigation derives formulas for a rough or smooth plate’s skin-friction coefficient and forced convection heat transfer given its characteristic length, root-mean-squared (RMS) height-of-roughness, isotropic spatial period, Reynolds number, and the fluid’s Prandtl number. This novel theory was tested with 456 heat transfer and friction measurements in 32 data-sets from one book, six peer-reviewed studies, and the present apparatus. Compared with the present theory, the RMS relative error (RMSRE) values of the 32 data-sets span 0.75% through 8.2%, with only four data-sets exceeding 6%. Prior work formulas have smaller RMSRE on only four of the data-sets.
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3390/thermo3040040
