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A critical analysis of turbulent natural and forced convection in a plane channel based on direct numerical simulation
Publikationstyp
Journal Article
Publikationsdatum
2011-10-14
Sprache
English
Author
Institut
Volume
25
Issue
7
Start Page
387
End Page
399
Citation
International Journal of Computational Fluid Dynamics 25 (7): 387-399 (2011)
Publisher DOI
Scopus ID
Publisher
Taylor & Francis
The balance equations for mixed convection in plane channel flow, based on the Boussinesq assumption for buoyancy, are carefully analysed by considering the two limits of pure forced and natural convection. Additional information about the flow is gained from the mechanical energy equation and the entropy equation (the second law of thermodynamics). Since the Boussinesq approximation assumes ε = δT*/T* → 0, i.e. a vanishing dimensionless temperature difference between the hot and the cold wall, certain inconsistencies in modelling the flow appear for ε ≠ 0. They are identified and discussed with respect to their importance. Numerical solutions gained by a direct numerical simulation (DNS) approach give detailed information about the friction factors and Nusselt numbers including the influence of those terms in the equations that turn out to be the source of the inconsistency in the modelling for ε ≠ 0. © 2011 Taylor and Francis Group, LLC.
Schlagworte
direct numerical simulation
forced convection
natural convection
Nusselt number
friction factor
DDC Class
530: Physik
600: Technik
620: Ingenieurwissenschaften