TY - JOUR

T1 - Uncertainty evaluation due to the difference in definitions of the acceleration parameter to examine the influence of mean flow acceleration on the experimental turbulent flows

AU - Kashiwagi, Takanari

AU - Suzuki, Hiroki

AU - Mochizuki, Shinsuke

N1 - Funding Information:
This work was partly supported by the Japanese Ministry of Education, Culture, Sports, Science and Technology through Grants-in-Aid (Nos. 20H02069, and 21K03859).
Publisher Copyright:
© Published under licence by IOP Publishing Ltd.

PY - 2022

Y1 - 2022

N2 - This study presents the uncertainty arising from the difference among three definitions of acceleration parameter. Previous studies have used two definitions of the acceleration parameter, denoted as the first and second definitions in this study. In the present study, an intermediate definition is introduced in addition to the two definitions. Then, mean velocity profile functions represented by each of these definitions are derived. If the magnitude of the acceleration parameter is sufficiently small, the mean velocity profiles represented by the definitions can result in the same with each other and are derived to be a linear function. The difference magnitude in the mean velocity profile among these definitions is of the order of the square of the acceleration parameter magnitude. The difference in the values obtained experimentally for the acceleration parameter can be larger than the order of the typical magnitude in experimental uncertainty. The present study derives a simple formula to estimate a value of the second definition from that of the first definition. The deviation uncertainty of this derived formula is found to be smaller than the magnitude of this typical experimental uncertainty.

AB - This study presents the uncertainty arising from the difference among three definitions of acceleration parameter. Previous studies have used two definitions of the acceleration parameter, denoted as the first and second definitions in this study. In the present study, an intermediate definition is introduced in addition to the two definitions. Then, mean velocity profile functions represented by each of these definitions are derived. If the magnitude of the acceleration parameter is sufficiently small, the mean velocity profiles represented by the definitions can result in the same with each other and are derived to be a linear function. The difference magnitude in the mean velocity profile among these definitions is of the order of the square of the acceleration parameter magnitude. The difference in the values obtained experimentally for the acceleration parameter can be larger than the order of the typical magnitude in experimental uncertainty. The present study derives a simple formula to estimate a value of the second definition from that of the first definition. The deviation uncertainty of this derived formula is found to be smaller than the magnitude of this typical experimental uncertainty.

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U2 - 10.1088/1742-6596/2369/1/012012

DO - 10.1088/1742-6596/2369/1/012012

M3 - Conference article

AN - SCOPUS:85143080277

SN - 1742-6588

VL - 2369

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012012

T2 - 5th International Conference on Mechanical, Electric, and Industrial Engineering, MEIE 2022

Y2 - 24 June 2022 through 25 June 2022

ER -