Abstract
In this paper we establish that the pressure gradient and the flux, for a linear stationary Stokes problem for general periodic two-dimensional channels, are related by a simple formula, the same as that for laminar Poiseuille flows.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
T. Dubois and R. Temam (1992), The nonlinear Galerkin method applied to the simulation of turbulence in a channel flow, Proceedings of the 13th ICNMFD (M. Napolitano and F. Sabetta, eds.), Roma, Lecture Notes in Physics, Springer-Verlag, Berlin.
O. Goubet (1994), Study of the Uzawa operator for the channel flow problem, Applicable Anal., 55, 235–258.
J. Kim, P. Moin, and R. Moser (1987), Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech., 177, 133–166.
P. Moin and J. Kim (1982), Numerical investigation of turbulent channel flow, J. Fluid Mech., 118, 341–377.
Author information
Authors and Affiliations
Additional information
Communicated by R. Temam
Rights and permissions
About this article
Cite this article
Goubet, O. A relation between the pressure gradient and the flux for the general channel flow problem. Appl Math Optim 34, 361–365 (1996). https://doi.org/10.1007/BF01182630
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01182630