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The role of cross sectional geometry...
~
Aminian, Manuchehr.
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The role of cross sectional geometry in the passive tracer problem.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
The role of cross sectional geometry in the passive tracer problem./
作者:
Aminian, Manuchehr.
出版者:
Ann Arbor : ProQuest Dissertations & Theses, : 2016,
面頁冊數:
269 p.
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:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10245885
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.
- Ann Arbor : ProQuest Dissertations & Theses, 2016 - 269 p.
Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2016.
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.
ISBN: 9781369467482Subjects--Topical Terms:
2122814
Applied mathematics.
The role of cross sectional geometry in the passive tracer problem.
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Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
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Advisers: Roberto A. Camassa; Richard M. McLaughlin.
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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.
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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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