Abstract
Estimation of the turbulent dissipation rate in a boundary layer is a very involved process. Experimental determination of either the dissipation rate or the Taylor microscale, even in isotropic turbulence, which may occur in a portion of the turbulent boundary layer, is known to be a difficult task. For constant pressure boundary layers, a model for the turbulent dissipation rate is proposed here in terms of the local mean flow quantities. Comparable agreement between the estimated Taylor microscale and Kolmogorov length scale with other data in the logarithmic region suggests usefulness of this model in obtaining these quantities experimentally.
Similar content being viewed by others
References
Stanislas M, Perret L and Foucaut J M 2008 Vortical structures in the turbulent boundary layer: A possible route to a universal representation. J. Fluid Mech. 602: 327–382
Segalini A, Örlü R, Schlatter P, Alfredsson P H, Rüedi J D and Talamelli A 2011 A method to estimate turbulence intensity and transverse Taylor microscale in turbulent flows from spatially averaged hot-wire data. Exp. Fluids 51: 693–700
Herpin S, Stanislas M, Foucaut J M and Coudert S 2013 Influence of the Reynolds number on the vortical structures in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 716: 5–50
Pope S B 2000 Turbulent flows, 1st edn, Cambridge University Press, Cambridge.
Blair M F and Bennett J C 1987 Hot-wire measurements of velocity and temperature fluctuations in a heated turbulent boundary layer. J. Phys. E Sci. Instrum. 20: 209–216
Schlatter P and Örlü R 2010 Assessment of direct numerical simulation data of turbulent boundary layers. J. Fluid Mech. 659: 116–126
DeGraaff D B and Eaton J K 2000 Reynolds-number scaling of the flat-plate turbulent boundary layer. J. Fluid Mech. 422: 319–346
Fukagata K, Iwamoto K and Kasagi N 2002 Contribution of Reynolds stress distribution to the skin friction in wall-bounded flows. Phys. Fluids 14: L73
Alfredsson P H, Örlü R and Segalini A 2012 A new formulation for the streamwise turbulence intensity distribution in wall-bounded turbulent flows. Eur. J. Mech. B-Fluids 36: 167–135
Acknowledgments
The authors wish to thank Prof. J. K. Eaton for the data.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dey, J., Phani Kumar, P. A model for turbulent dissipation rate in a constant pressure boundary layer. Sādhanā 41, 435–439 (2016). https://doi.org/10.1007/s12046-016-0480-0
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12046-016-0480-0