Similarity of the Temperature Profile formed by Fluid Flow along a Wall
Abstract
A new approach to the study of similarity of temperature profiles is presented. It is applicable for any 2-D fluid flow along an isothermal heated (cooled) wall. The approach is based on a simple concept; the area under a set of scaled temperature profile curves that show similar behavior must be equal. This leads to a new integral-based definition of temperature profile similarity. By taking simple area integrals of the scaled temperature profile and its first derivative, we also obtain a number of new results pertaining to similarity of the temperature profiles. For example, it is shown that if similarity exists, then: 1) the similarity temperature and length scaling parameters are interdependent, 2) the thermal displacement thickness must be a similar length scaling parameter, and 3) the temperature scaling parameter must be proportional to the free stream minus wall temperature values.
Keywords
Cite
@article{arxiv.1603.05062,
title = {Similarity of the Temperature Profile formed by Fluid Flow along a Wall},
author = {David Weyburne},
journal= {arXiv preprint arXiv:1603.05062},
year = {2018}
}
Comments
11 pages, 4 figures. The updated version has a rewritten Introduction with appropriately reshuffled References. Also a new experimental result/Figure is included