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Experimental and Mathematical Studie...

Huang, Jinzi Mac.

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Experimental and Mathematical Studies of Heat and Mass Transfer in Geophysical Fluid-structure Interactions.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Experimental and Mathematical Studies of Heat and Mass Transfer in Geophysical Fluid-structure Interactions./
作者:	Huang, Jinzi Mac.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2018,
面頁冊數:	175 p.
附註:	Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
Contained By:	Dissertation Abstracts International80-03B(E).
標題:	Fluid mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10846115
ISBN:	9780438634886

Experimental and Mathematical Studies of Heat and Mass Transfer in Geophysical Fluid-structure Interactions.
Huang, Jinzi Mac.

Experimental and Mathematical Studies of Heat and Mass Transfer in Geophysical Fluid-structure Interactions. - Ann Arbor : ProQuest Dissertations & Theses, 2018 - 175 p.

Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.

Thesis (Ph.D.)--New York University, 2018.

The conventional study of heat and mass transfer in fluids involves immobile boundaries separating solid and fluid. However a large body of heat and mass transfer problems have moving boundaries due to the exchange of mass between phases or the body motion itself. This thesis aims to address the moving boundary dynamics in problems like dissolution and erosion, where the fluid-structure interaction is the key driver of the dynamics. Geophysics is a great source of such moving boundary problems, the dissolving of solid forms spectacular topographies such as the Karst landscapes, cave systems and so-called stone forests. Meteorite ablation is another example of such fluid-structure interactions, where the solid descends through air and melts due to the heat generated by aerodynamic friction. Fluid-structure interaction also occurs in thermal convection. The convection inside the mantle of Earth is believed to be the reason for plate tectonics and mountain formation, the recurring plate motion reflects the convective flow structure and sets up the Wilson cycle of millions of years.

ISBN: 9780438634886Subjects--Topical Terms:

528155
Fluid mechanics.

Experimental and Mathematical Studies of Heat and Mass Transfer in Geophysical Fluid-structure Interactions.
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245 1 0 $a Experimental and Mathematical Studies of Heat and Mass Transfer in Geophysical Fluid-structure Interactions.
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500 $a Source: Dissertation Abstracts International, Volume: 80-03(E), Section: B.
500 $a Advisers: Leif Ristroph; Jun Zhang.
502 $a Thesis (Ph.D.)--New York University, 2018.
520 $a The conventional study of heat and mass transfer in fluids involves immobile boundaries separating solid and fluid. However a large body of heat and mass transfer problems have moving boundaries due to the exchange of mass between phases or the body motion itself. This thesis aims to address the moving boundary dynamics in problems like dissolution and erosion, where the fluid-structure interaction is the key driver of the dynamics. Geophysics is a great source of such moving boundary problems, the dissolving of solid forms spectacular topographies such as the Karst landscapes, cave systems and so-called stone forests. Meteorite ablation is another example of such fluid-structure interactions, where the solid descends through air and melts due to the heat generated by aerodynamic friction. Fluid-structure interaction also occurs in thermal convection. The convection inside the mantle of Earth is believed to be the reason for plate tectonics and mountain formation, the recurring plate motion reflects the convective flow structure and sets up the Wilson cycle of millions of years.
520 $a These geophysical problems inspired the research in the Applied Math Lab at Courant Institute, NYU. In my graduate study, a broad class of heat and mass transfer problems are investigated experimentally and numerically. In chapter 1, the introduction and overview of my graduate work are presented. And in chapter 2, dissolution in an unidirectional flow is examined. Boundary layer analysis leads to a power law that predicts the dissolving dynamics and free-streamline theory indicates a hemispherical final shape that evolves self-similarly. Chapter 3 focuses on dissolution without external flow. Buoyancy difference in dissolution drives natural convection, and patterns are formed at the bottom of soluble object due to the flow detachment. In chapter 4, stable natural convection happens at the top of dissolving objects and leads to the continuing sharpening of the solid. Analysis shows that a geometric shock emerges at the top of the dissolving object, and the curvature becomes singularly high in finite time. Chapter 5 introduces a numerical solver for dissolution in fluids using Immersed Boundary Smooth Extension method. Smooth solution with high regularity across the boundary permits accurate boundary movement and high order of convergence. Chapter 6 addresses the Rayleigh-Benard convection, where sidewall heating is added to the otherwise traditional cubic convection cell. Redefining the Nusselt number through Chebyshev method corrects the drop of its value and explains the mechanism of heat transfer. In chapter 7, a stochastic model of the interaction between floating plate and convective fluid is demonstrated. Stochastic variational inequality approach leads to a model that fits nicely with prior experiments. Finally in chapter 8, the stable flight of model meteorites through fluid is investigated experimentally.
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