NDLI: Analytical Solution of Turbulent Problems Using Governing Equation of Cosserat Continuum Model

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Ghasvari-Jahromi, H. Atefi, Gh Moosaie, A. Hormozi, S.
Copyright Year	2006
Abstract	In present paper the theory of the micropolar fluid based on a Cosserat continuum model has been applied for analysis of Couette flow and turbulent flow through rough pipes. The obtained results for the velocity field have been compared with known results from experiments done by Reichardt at Max Plank institute for fluids in Gottingen [1,2] and analytical solution of the problem from Gradient theory by alizadeh[3] for couette problem and with known results from experiments done by Nikuradse (1932). the boundary condition used here was the no slip one and Trostel's slip boundary condition[4].a good agreement between experimental results and the results of the problem for Reynolds near 18000 has beeen found in the couette case also in this case A new dimensionless number introduced that indicates the theoretical relation between cosserat theory and slip theory and their interaction. The solution has been performed for a Reynolds number of 106 for pipes with different values of roughness and the validity analysis approved by the results of Nikuradse's experiments.
Sponsorship	Fluids Engineering Division
Starting Page	903
Ending Page	909
Page Count	7
File Format	PDF
ISBN	0791847705
DOI	10.1115/IMECE2006-15837
e-ISBN	0791837904
Volume Number	Fluids Engineering
Conference Proceedings	ASME 2006 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2006-11-05
Publisher Place	Chicago, Illinois, USA
Access Restriction	Subscribed
Subject Keyword	Turbulence Fluids Reynolds number Boundary-value problems Surface roughness Dimensionless numbers Pipes Flow (dynamics)
Content Type	Text
Resource Type	Article

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