東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁 到查詢結果 [ null ]

切換: 標籤 | MARC模式 | ISBD

FindBook

Google Book

Amazon

博客來

Analytical and Numerical Modeling of Solid-Liquid Phase Change Driven by Internal Heat Generation in Cylindrical Coordinates.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Analytical and Numerical Modeling of Solid-Liquid Phase Change Driven by Internal Heat Generation in Cylindrical Coordinates./
作者:	Paulus, Patrick C.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 2021,
面頁冊數:	103 p.
附註:	Source: Masters Abstracts International, Volume: 83-03.
Contained By:	Masters Abstracts International83-03.
標題:	Mechanical engineering. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28549428
ISBN:	9798544279013

Analytical and Numerical Modeling of Solid-Liquid Phase Change Driven by Internal Heat Generation in Cylindrical Coordinates.
Paulus, Patrick C.

Analytical and Numerical Modeling of Solid-Liquid Phase Change Driven by Internal Heat Generation in Cylindrical Coordinates. - Ann Arbor : ProQuest Dissertations & Theses, 2021 - 103 p.

Source: Masters Abstracts International, Volume: 83-03.

Thesis (M.S.)--University of Idaho, 2021.

This item must not be sold to any third party vendors.

The study of liquid-solid phase change has value in a range of applications, including in nuclear power. Nuclear fuel rods are subject to internal heat generation that, during extreme conditions, can result in the fuel becoming partially molten. Understanding of the melting process is critical to the safe design and operation of nuclear power plants. However, analytical work in this area is still limited.Two scenarios of liquid-solid phase change driven by internal heat generation are presented for a cylindrical domain: a case with Constant Surface Temperature (CST), and a case with Constant Surface Heat Flux (CSHF). We conducted an analysis of both scenarios in the form of the Stefan problem, afree boundary problem where the position of the interface between liquid and solid phases can change in time. By assuming constant thermal properties, pure conduction, and a sharp interface, we were able to use the superposition principle to derive closed-form, first-order ordinary differential equations within finite series describing interface motion for one-dimensional, isothermal phase change.We compared our analytical models against numerical solutions generated through the commercials software Ansys Fluent. This software uses the enthalpy method, which allows the formation of a mushy zone, to solve for temperature, enthalpy, and liquid fraction in the problem domain. Using this model, we were able to check our solutions for mathematical soundness and evaluate the implications of assuming a sharp liquid-solid interface. We performed comparisons between the analytical and numerical models during both melting and solidification scenarios for several values of Stefan number for the CST case and several values of heat flux for the CSHF case.The CST case saw strong agreement in interface position in time for the slower phase change cases. However, during the melting scenarios for these slower speeds, we saw a divergence in temperature profiles characterized by a nonphysical overheating phenomenon at smaller time steps due to the formation of a mushy zone in the numerical model. This issue lessened with higher interface speeds and did not present itself during the solidification cases. Agreement in the CSHF cases was weaker than for the CST cases, with disagreement being most significant when the material was mostly solid. This disagreement was attributed largely to inaccuracy of the theoretical model. At faster phase change speeds, we saw more mushy zone development in the melting cases, with the solidification cases once again showing no mushy zone effects.

ISBN: 9798544279013Subjects--Topical Terms:

649730
Mechanical engineering.
Subjects--Index Terms:

Heat transfer

Analytical and Numerical Modeling of Solid-Liquid Phase Change Driven by Internal Heat Generation in Cylindrical Coordinates.
LDR:03813nmm a2200385 4500 001 2343713
005 20220512072138.5
008 241004s2021 ||||||||||||||||| ||eng d
020 $a 9798544279013
035 $a (MiAaPQ)AAI28549428
035 $a AAI28549428
040 $a MiAaPQ $c MiAaPQ
100 1 $a Paulus, Patrick C. $3 3682346
245 1 0 $a Analytical and Numerical Modeling of Solid-Liquid Phase Change Driven by Internal Heat Generation in Cylindrical Coordinates.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2021
300 $a 103 p.
500 $a Source: Masters Abstracts International, Volume: 83-03.
500 $a Advisor: Crepeau, John.
502 $a Thesis (M.S.)--University of Idaho, 2021.
506 $a This item must not be sold to any third party vendors.
520 $a The study of liquid-solid phase change has value in a range of applications, including in nuclear power. Nuclear fuel rods are subject to internal heat generation that, during extreme conditions, can result in the fuel becoming partially molten. Understanding of the melting process is critical to the safe design and operation of nuclear power plants. However, analytical work in this area is still limited.Two scenarios of liquid-solid phase change driven by internal heat generation are presented for a cylindrical domain: a case with Constant Surface Temperature (CST), and a case with Constant Surface Heat Flux (CSHF). We conducted an analysis of both scenarios in the form of the Stefan problem, afree boundary problem where the position of the interface between liquid and solid phases can change in time. By assuming constant thermal properties, pure conduction, and a sharp interface, we were able to use the superposition principle to derive closed-form, first-order ordinary differential equations within finite series describing interface motion for one-dimensional, isothermal phase change.We compared our analytical models against numerical solutions generated through the commercials software Ansys Fluent. This software uses the enthalpy method, which allows the formation of a mushy zone, to solve for temperature, enthalpy, and liquid fraction in the problem domain. Using this model, we were able to check our solutions for mathematical soundness and evaluate the implications of assuming a sharp liquid-solid interface. We performed comparisons between the analytical and numerical models during both melting and solidification scenarios for several values of Stefan number for the CST case and several values of heat flux for the CSHF case.The CST case saw strong agreement in interface position in time for the slower phase change cases. However, during the melting scenarios for these slower speeds, we saw a divergence in temperature profiles characterized by a nonphysical overheating phenomenon at smaller time steps due to the formation of a mushy zone in the numerical model. This issue lessened with higher interface speeds and did not present itself during the solidification cases. Agreement in the CSHF cases was weaker than for the CST cases, with disagreement being most significant when the material was mostly solid. This disagreement was attributed largely to inaccuracy of the theoretical model. At faster phase change speeds, we saw more mushy zone development in the melting cases, with the solidification cases once again showing no mushy zone effects.
590 $a School code: 0089.
650 4 $a Mechanical engineering. $3 649730
650 4 $a Design. $3 518875
650 4 $a Thermodynamics. $3 517304
653 $a Heat transfer
653 $a Phase change
653 $a Stefan problem
653 $a Solid-Liquid
653 $a Cylindrical coordinates
653 $a Constant Surface Temperature
690 $a 0548
690 $a 0389
690 $a 0348
710 2 $a University of Idaho. $b Mechanical Engineering. $3 3179561
773 0 $t Masters Abstracts International $g 83-03.
790 $a 0089
791 $a M.S.
792 $a 2021
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=28549428