Diffusion and advection in two-dimensional rotating flow

Alavian, Vahid; Broeren, Sally M.

Permalink

https://hdl.handle.net/2142/90133 Copy

Description

Title

Diffusion and advection in two-dimensional rotating flow

Author(s)

• Alavian, Vahid
• Broeren, Sally M.

Contributor(s)

University of Illinois at Urbana-Champaign

Issue Date

1984-10

Keyword(s)

• Water resources center
• Water resources center--Illinois
• Hydrology and hydraulics
• Mass transport
• Mixing
• Flow pattern
• Circulating flow
• Shear flow
• Dispersion
• Diffusion
• Finite element
• Fluid mechanics

Geographic Coverage

Illinois (state)

Abstract

This paper presents the results of an investigation of mass transport by diffusion and advection in two-dimensional steady, spatially varied confined flow. In practice, this type of flow occurs in recirculating regions ofstreams and rivers or behind hydraulic structures. A simple vorticity transport model is used to simulate shear-induced flow in a square region confined on three sides and open to a uniform flow on one side. The differential equation governing diffusion and advection of a known quantity of tracer mass introduced in such flow is solved. The solution scheme is based on Galerkin finite element approximation of the transport equation. Diffusion is represented by a second-order tensor, the components of which are related to the eddy diffusion coefficient, as well as the magnitude and direction of the mean local velocity. The unsteady transport term is approximated by implicit finite differencing in time. Simulation results are given for one and two-dimensional test cases and for shear induced rotating flow.

Publisher

University of Illinois at Urbana-Champaign. Water Resources Center

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/90133

Sponsor(s)/Grant Number(s)

• U.S. Department of the Interior
• U.S. Geological Survey

Copyright and License Information

Copyright 1984 held by Vahid Alavian, Sally M. Broeren

Owning Collections