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The role of cross sectional geometry...
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The University of North Carolina at Chapel Hill.
The role of cross sectional geometry in the passive tracer problem.
紀錄類型:
書目-語言資料,手稿 : Monograph/item
正題名/作者:
The role of cross sectional geometry in the passive tracer problem./
作者:
Aminian, Manuchehr.
面頁冊數:
1 online resource (269 pages)
附註:
Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:
Dissertation Abstracts International78-05B(E).
標題:
Applied mathematics. -
電子資源:
click for full text (PQDT)
ISBN:
9781369467482
The role of cross sectional geometry in the passive tracer problem.
Aminian, Manuchehr.
The role of cross sectional geometry in the passive tracer problem.
- 1 online resource (269 pages)
Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Thesis (Ph.D.)
Includes bibliographical references
This item is not available from ProQuest Dissertations & Theses.
This dissertation is concerned with how the longitudinal moments (mean, variance, skewness) of a tracer distribution undergoing an advective-diffusive process in Poiseiulle flow depend in a nontrivial way upon the cross section of the pipe.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018
Mode of access: World Wide Web
ISBN: 9781369467482Subjects--Topical Terms:
1069907
Applied mathematics.
Index Terms--Genre/Form:
554714
Electronic books.
The role of cross sectional geometry in the passive tracer problem.
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This dissertation is concerned with how the longitudinal moments (mean, variance, skewness) of a tracer distribution undergoing an advective-diffusive process in Poiseiulle flow depend in a nontrivial way upon the cross section of the pipe.
520
$a
The main focus of this dissertation is on the distribution's skewness, which is the simplest statistic to describe upstream/downstream asymmetry in the tracer distribution. The results of both analysis and numerics show that the distribution's skewness depends significantly on the cross section of the pipe. Typically, cross sections with an exaggerated aspect ratio (e.g., thin ellipses or rectangles) result in negative skewness in the distribution, that is, having a sharp front and a long tail upstream. The opposite is true for nearly circular or square cross sections, with a long tail downstream and the bulk of the distribution upstream. As a result, there are "golden" aspect ratios for each class of cross section -- critical aspect ratios which maintain the initial symmetry through the advective timescale -- and other critical aspect ratios which symmetrize the distribution at a faster rate than any other aspect ratio on diffusive timescales.
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