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arXiv · 1603.05062

Similarity of the Temperature Profile formed by Fluid Flow along a Wall

David Weyburne
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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.

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David Weyburne. 2016-03-15. Similarity of the Temperature Profile formed by Fluid Flow along a Wall. https://arxiv.org/abs/1603.05062

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