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Analysis and Computation of Sedimentation and Erosion in Viscous Flow.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Analysis and Computation of Sedimentation and Erosion in Viscous Flow./
作者:	Mitchell, William H.
面頁冊數:	1 online resource (154 pages)
附註:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Contained By:	Dissertation Abstracts International79-01B(E).
標題:	Applied mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9780355160192

Analysis and Computation of Sedimentation and Erosion in Viscous Flow.
Mitchell, William H.

Analysis and Computation of Sedimentation and Erosion in Viscous Flow. - 1 online resource (154 pages)

Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Particulate flows at very small scales are dominated by viscous effects. The Stokes system of partial differential equations is an appropriate model for such flows, and the linearity of these equations allows for the use of the powerful mathematical techniques known as Green's functions and boundary integral equations. In the work presented herein we apply these tools to study the sedimentation of a single spheroidal particle near a flat wall and the shear stress driven erosion of one or several particles in various flow configurations. The main theoretical results include the following: the far-field mobility of a spheroidal particle near a wall, the reduction of the sedimentation problem to a three-dimensional system of ordinary differential equations, and a new completed traction boundary integral equation adapted for the case of nontrivial background flows and wall-bounded geometries. These results lead to improved numerical methods, which we develop and deploy to explore several processes related to viscous sedimentation and erosion. We conclude with a discussion of erosion in the special case of axisymmetric flow.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355160192Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Analysis and Computation of Sedimentation and Erosion in Viscous Flow.
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100 1 $a Mitchell, William H. $3 1180893
245 1 0 $a Analysis and Computation of Sedimentation and Erosion in Viscous Flow.
264 0 $c 2017
300 $a 1 online resource (154 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: 79-01(E), Section: B.
500 $a Adviser: Saverio E. Spagnolie.
502 $a Thesis (Ph.D.) $c The University of Wisconsin - Madison $d 2017.
504 $a Includes bibliographical references
520 $a Particulate flows at very small scales are dominated by viscous effects. The Stokes system of partial differential equations is an appropriate model for such flows, and the linearity of these equations allows for the use of the powerful mathematical techniques known as Green's functions and boundary integral equations. In the work presented herein we apply these tools to study the sedimentation of a single spheroidal particle near a flat wall and the shear stress driven erosion of one or several particles in various flow configurations. The main theoretical results include the following: the far-field mobility of a spheroidal particle near a wall, the reduction of the sedimentation problem to a three-dimensional system of ordinary differential equations, and a new completed traction boundary integral equation adapted for the case of nontrivial background flows and wall-bounded geometries. These results lead to improved numerical methods, which we develop and deploy to explore several processes related to viscous sedimentation and erosion. We conclude with a discussion of erosion in the special case of axisymmetric flow.
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
650 4 $a Physics. $3 564049
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
690 $a 0605
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a The University of Wisconsin - Madison. $b Mathematics. $3 1180732
773 0 $t Dissertation Abstracts International $g 79-01B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10618386 $z click for full text (PQDT)