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Mathematical modeling, simulation, a...

Northwestern University., Applied Mathematics.

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Mathematical modeling, simulation, and analysis of two problems in interfacial fluid dynamics.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical modeling, simulation, and analysis of two problems in interfacial fluid dynamics./
作者:	Kao, Justin Ching-Te.
面頁冊數:	96 p.
附註:	Adviser: Stephen H. Davis.
Contained By:	Dissertation Abstracts International69-03B.
標題:	Applied Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3305705
ISBN:	9780549524571

Mathematical modeling, simulation, and analysis of two problems in interfacial fluid dynamics.
Kao, Justin Ching-Te.

Mathematical modeling, simulation, and analysis of two problems in interfacial fluid dynamics. - 96 p.

Adviser: Stephen H. Davis.

Thesis (Ph.D.)--Northwestern University, 2008.

We consider two problems in low Reynolds-number, interfacial fluid mechanics: the rupture of thin liquid films on chemically-patterned solid substrates, and the engulfment of foreign particles by a solidification front progressing through a binary alloy.

ISBN: 9780549524571Subjects--Topical Terms:

1018410
Applied Mechanics.

Mathematical modeling, simulation, and analysis of two problems in interfacial fluid dynamics.
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035 $a (UMI)AAI3305705
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040 $a UMI $c UMI
100 1 $a Kao, Justin Ching-Te. $3 1023522
245 1 0 $a Mathematical modeling, simulation, and analysis of two problems in interfacial fluid dynamics.
300 $a 96 p.
500 $a Adviser: Stephen H. Davis.
500 $a Source: Dissertation Abstracts International, Volume: 69-03, Section: B, page: 1686.
502 $a Thesis (Ph.D.)--Northwestern University, 2008.
520 $a We consider two problems in low Reynolds-number, interfacial fluid mechanics: the rupture of thin liquid films on chemically-patterned solid substrates, and the engulfment of foreign particles by a solidification front progressing through a binary alloy.
520 $a First we investigate the stability and rupture of thin liquid films on patterned substrates. The behavior of thin films is important to many industrial processes such as optical coatings and semiconductor fabrication. It is well known that thin liquid films on uniforms substrates can rupture and chewer, due to a long-wave spinodal instability caused by attractive intermolecular (van der Waals) forces. We show that striped patterning on a length scale comparable to that of the spinodal instability leads to a resonance effect and an imperfect bifurcation of equilibrium film shapes. Weakly nonlinear analysis yields predictions for film shapes, stability, growth rates, and rupture Limes, which are confirmed by numerical solution of the thin-film equation. Film behavior is qualitatively different in the resonant patterning regime, but with sufficiently large domains, rupture nonetheless occurs on a spinodal length scale regardless of patterning. Instabilities transverse to the patterning are examined and shown to behave similarly as disturbances to films on uniform substrates. Finally, we explain some previously reported effects in terms of the imperfect bifurcation.
520 $a Next we examine the interaction of a foreign particle with a solidification front in binary alloys. Depending on the material properties and front velocity, the particle may be pushed ahead of the front, or it may be engulfed and incorporated into the solid phase. The outcome of this interaction plays a crucial role in issues such as the strength of composites and the survival or death of cryogenically preserved cells. We apply numerical boundary integral and continuation methods to obtain the dependence on system parameters of the critical velocity for partite capture. We reconcile two different theoretical critical velocity scalings, and show that many typical systems may obey yet another scaling. We also show that the presence of solute decreases particle velocities by an order of magnitude below those for the single-component system, due to constitutional undercooling.
590 $a School code: 0163.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Mathematics. $3 515831
690 $a 0346
690 $a 0405
710 2 $a Northwestern University. $b Applied Mathematics. $3 1023521
773 0 $t Dissertation Abstracts International $g 69-03B.
790 $a 0163
790 1 0 $a Davis, Stephen H., $e advisor
790 1 0 $a Golovin, Alexander A. $e committee member
790 1 0 $a Miksis, Michael J. $e committee member
791 $a Ph.D.
792 $a 2008
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoeng/servlet/advanced?query=3305705