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The role of cross sectional geometry...

The University of North Carolina at Chapel Hill.

The role of cross sectional geometry in the passive tracer problem.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	The role of cross sectional geometry in the passive tracer problem./
Author:	Aminian, Manuchehr.
Description:	1 online resource (269 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:	Dissertation Abstracts International78-05B(E).
Subject:	Applied mathematics. -
Online resource:	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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020 $a 9781369467482
035 $a (MiAaPQ)AAI10245885
035 $a (MiAaPQ)unc:16671
035 $a AAI10245885
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Aminian, Manuchehr. $3 1180560
245 1 4 $a The role of cross sectional geometry in the passive tracer problem.
264 0 $c 2016
300 $a 1 online resource (269 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
500 $a Advisers: Roberto A. Camassa; Richard M. McLaughlin.
502 $a Thesis (Ph.D.) $c The University of North Carolina at Chapel Hill $d 2016.
504 $a Includes bibliographical references
506 $a This item is not available from ProQuest Dissertations & Theses.
520 $a 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.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of North Carolina at Chapel Hill. $b Mathematics. $3 1180561
773 0 $t Dissertation Abstracts International $g 78-05B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10245885 $z click for full text (PQDT)

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