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Neudefinition und Messung der Grenzschichtdicke an einer angeströmten Fläche – Ermittlung thermodynamischer und aerodynamischer Größen hieraus.

Authors :
Mayer, Erhard
Norrefeldt, Victor
Source :
Bauphysik. Apr2023, Vol. 45 Issue 2, p96-106. 11p.
Publication Year :
2023

Abstract

New definition and measurement of the boundary layer thickness on a wall – Determination of thermodynamic and aerodynamic quantities This publication describes the theoretical basis and a measuring device to measure the convective heat transfer coefficient and the shear stress on a wall exposed to the flow. For this purpose, the Convective Heat Transfer Meter (CHM) measures the temperature gradient within the flow boundary layer. For exponential time processes, the time constant τ is defined as the period of time after which a quantity A(t) has declined to a fraction of 1/e of the initial value, with the Eulerian number being 2.718... Analogous to this, the boundary layer thickness d is proposed for spatial processes with exponential approximation instead of the time constant τ. Such a process occurs in the viscous boundary layer area of a wall exposed to flow. The flow velocity U(y) running parallel to the wall surface is decelerated due to the viscosity of the air and the friction of the wall surface until it reaches the condition of adhesion to the wall surface. The newly defined boundary layer thickness d is the distance from the wall y = d for which the local flow velocity U(y=d) has reached the fraction of (1–e–1) from the macroscopic flow velocity U(y=∞). In contrast to the frequently used boundary layer thickness δ, for which the threshold is by definition 99 % of U(y=∞), the new definition of the boundary layer thickness d offers advantages in terms of its measurability and the determination of the convective heat transfer and the determination of the shear stress on bodies in contact with the flow. [ABSTRACT FROM AUTHOR]

Details

Language :
German
ISSN :
01715445
Volume :
45
Issue :
2
Database :
Academic Search Index
Journal :
Bauphysik
Publication Type :
Academic Journal
Accession number :
162972005
Full Text :
https://doi.org/10.1002/bapi.202200042