EXPLICIT FINITE DIFFERENCE SOLUTION FOR CONTAMINANT TRANSPORT PROBLEMS WITH CONSTANT AND OSCILLATING BOUNDARY CONDITIONS

Svetislav M. SAVOVIC; Alexandar DJORDJEVICH

doi:10.2298/TSCI190722422S

Author(s)

Svetislav M. SAVOVIC
Alexandar DJORDJEVICH

Related Research Unit(s)

Department of Mechanical Engineering

Detail(s)

Original language	English
Pages (from-to)	2225-2231
Journal / Publication	Thermal Science
Volume	24
Issue number	3B
Publication status	Published - 2020

Link(s)

DOI	DOI https://doi.org/10.2298/TSCI190722422S Final Published version
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Attachment(s)	Documents 53905773.pdf Final Published version, 847 KB, PDF Publisher's Copyright Statement This full text is made available under CC-BY-NC-ND 4.0. https://creativecommons.org/licenses/by-nc-nd/4.0/
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-85086909523&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(9c5bcb4d-1f60-47be-814b-b575ba4c8927).html

Abstract

For constant and oscillating boundary conditions, the 1-D advection-diffusion equation with constant coefficients, which describes a contaminant flow, is solved by the explicit finite difference method in a semi-infinite medium. It is shown how far the periodicity of the oscillating boundary carries on until diminishing to below appreciable levels a specified distance away, which depends on the oscillation characteristics of the source. Results are tested against an analytical solution reported for a special case. The explicit finite difference method is shown to be effective for solving the advection-diffusion equation with constant coefficients in semi-infinite media with constant and oscillating boundary conditions.

Research Area(s)

advection-diffusion equation, contaminant flow, finite difference method, oscillating boundary conditions, ADVECTION-DIFFUSION EQUATION, STEFAN PROBLEM, FLOW, MEDIA

Bibliographic Note

Full text of this publication does not contain sufficient affiliation information. With consent from the author(s) concerned, the Research Unit(s) information for this record is based on the existing academic department affiliation of the author(s).