An Analytical Study of the Standard k–ε Model

1990 ◽  
Vol 112 (2) ◽  
pp. 192-198 ◽  
Author(s):  
N. Takemitsu
Keyword(s):  
Experimental Data ◽  
Asymptotic Solution ◽  
Channel Flow ◽  
Analytical Study ◽  
Turbulent Channel Flow ◽  
Second Order ◽  
Two Dimensional ◽  
Ill Posed ◽  
Leading Term ◽  
Logarithmic Law

An asymptotic solution of the standard k–ε model for two-dimensional turbulent channel flow is found. Using this solution, five model constants in the model are all determined reasonably with the aid of experimental data. If an asymptotic solution with the logarithmic law as the leading term is sought for, the standard k–ε model is shown to be ill-posed since the second-order solution has divergent terms.

scholarly journals Streaky structure in a two-dimensional turbulent channel flow.

1985 ◽  
Vol 51 (470) ◽  
pp. 3092-3101 ◽  
Author(s):  
Yoichiro IRITANI ◽  
Nobuhide KASAGI ◽  
Masaru HIRATA
Keyword(s):  
Channel Flow ◽  
Turbulent Channel Flow ◽  
Two Dimensional ◽  
Streaky Structure

scholarly journals Law of the wall in an unstably stratified turbulent channel flow

2015 ◽  
Vol 781 ◽  
Author(s):  
A. Scagliarini ◽  
H. Einarsson ◽  
Á. Gylfason ◽  
F. Toschi
Keyword(s):  
Boundary Layer ◽  
Channel Flow ◽  
Mean Field ◽  
Turbulent Channel Flow ◽  
Direct Numerical Simulations ◽  
Reynolds Stresses ◽  
Law Of The Wall ◽  
Log Law ◽  
Logarithmic Law ◽  
Boundary Layer Dynamics

We perform direct numerical simulations of an unstably stratified turbulent channel flow to address the effects of buoyancy on the boundary layer dynamics and mean field quantities. We systematically span a range of parameters in the space of friction Reynolds number ($\mathit{Re}_{{\it\tau}}$) and Rayleigh number ($\mathit{Ra}$). Our focus is on deviations from the logarithmic law of the wall due to buoyant motion. The effects of convection in the relevant ranges are discussed, providing measurements of mean profiles of velocity, temperature and Reynolds stresses as well as of the friction coefficient. A phenomenological model is proposed and shown to capture the observed deviations of the velocity profile in the log-law region from the non-convective case.

Numerical Modeling of Transpiration-Cooled Turbulent Channel Flow with Comparisons to Experimental Data

2018 ◽  
Vol 32 (3) ◽  
pp. 713-735 ◽  
Author(s):  
David J. Munk ◽  
Markus Selzer ◽  
Hannah Böhrk ◽  
Sven Schweikert ◽  
Gareth A. Vio
Keyword(s):  
Experimental Data ◽  
Numerical Modeling ◽  
Channel Flow ◽  
Turbulent Channel Flow

Second-order Wagner theory for two-dimensional water-entry problems at small deadrise angles

2007 ◽  
Vol 572 ◽  
pp. 59-85 ◽  
Author(s):  
J. M. OLIVER
Keyword(s):  
Experimental Data ◽  
Asymptotic Analysis ◽  
Incompressible Liquid ◽  
Water Entry ◽  
Second Order ◽  
Two Dimensional ◽  
Predictive Capability ◽  
Wagner’S Theory ◽  
Wagner Theory ◽  
Matched Asymptotic Analysis

The theory of Wagner from 1932 for the normal symmetric impact of a two-dimensional body of small deadrise angle on a half-space of ideal and incompressible liquid is extended to derive the second-order corrections for the locations of the higher-pressure jet-root regions and for the upward force on the impactor using a systematic matched-asymptotic analysis. The second-order predictions for the upward force on an entering wedge and parabola are compared with numerical and experimental data, respectively, and it is concluded that a significant improvement in the predictive capability of Wagner's theory is afforded by proceeding to second order.

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