Research Article
Feb 1976
Steady Stratified Circulation in a Cavity
Publication: Journal of the Engineering Mechanics Division
Volume 102, Issue 1
Abstract
An attempt is made, by introducing empirically defined, depth-dependent expressions for eddy diffusivity and eddy viscosity into the governing equations for two-dimensional behavior, to solve the problem of steady-state stratified flow in a lake subjected to surface shear. The set of four relevant partial differential equations (two momentum equations, mass conservation and the temperature diffusion equation) is transformed to a pair of nonlinear differential equations in the stream function and density. Integral conditions corresponding to the solution of these equations are established through the weighted residual concept, and finite element representations of the integrals are constructed. The resulting system of nonlinear algebraic equations is solved by means of quasilinearization technique. An extensive series of numerical solutions is presented to demonstrate that the results obtained are of the type measured in the analogous field situation of wind-driven stratified lakes.
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Published In
Journal of the Engineering Mechanics Division
Volume 102 • Issue 1 • February 1976
Pages: 1 - 17
Copyright
© 1976 American Society of Civil Engineers.
History
Published in print: Feb 1976
Published online: Feb 3, 2021
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Authors
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Der-Liang Young
Grad. Student, School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.
James A. Liggett
Prof., School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.
Richard H. Gallagher, F.ASCE
Prof., School of Civ. and Environmental Engrg., Cornell Univ., Ithaca, N.Y.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.