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On the Use of Entropy Production to ...

Weigand, Timothy M.

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On the Use of Entropy Production to Improve Mathematical Models and Numerical Methods for Non-Dilute Flow and Transport in Porous Media.

Record Type:	Electronic resources : Monograph/item
Title/Author:	On the Use of Entropy Production to Improve Mathematical Models and Numerical Methods for Non-Dilute Flow and Transport in Porous Media./
Author:	Weigand, Timothy M.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2020,
Description:	139 p.
Notes:	Source: Dissertations Abstracts International, Volume: 82-01, Section: B.
Contained By:	Dissertations Abstracts International82-01B.
Subject:	Environmental engineering. -
Online resource:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=27741912
ISBN:	9781083345851

On the Use of Entropy Production to Improve Mathematical Models and Numerical Methods for Non-Dilute Flow and Transport in Porous Media.
Weigand, Timothy M.

On the Use of Entropy Production to Improve Mathematical Models and Numerical Methods for Non-Dilute Flow and Transport in Porous Media. - Ann Arbor : ProQuest Dissertations & Theses, 2020 - 139 p.

Source: Dissertations Abstracts International, Volume: 82-01, Section: B.

Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2020.

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

Non-dilute flow and transport in porous media plays an important role in many natural and engineered systems, however a mature understanding is lacking. As environmental conditions change and water resources become scarcer, the need for a more complete understanding of non-dilute flow and transport will be necessary to address future challenges, for example, assessing impacts of climate change on fresh water supplies and examining mitigation strategies. The thermodynamically constrained averaging theory (TCAT) is an approach for developing mathematical models that ties together conservation and thermodynamic laws and connects all spatial scales. This approach is used to develop a new macroscale model for non-dilute flow and transport in porous media. This model is found to more accurately describe a set of non-dilute laboratory displacement experiments as compared to existing models. Through the development of the model, an entropy production rate is derived and a new numerical method is formulated that utilizes the entropy production rate to improve computational efficiency. The general framework of this new approach can be applied to other models where the entropy production rate is known. To further improve macroscale models and our understanding of non-dilute behavior, microscale simulations are performed. As TCAT relates all spatial scales, the microscale simulations are averaged to gain insight on macroscale behavior. The importance that density, viscosity, and activity have on macroscale transport is assessed and microscale velocity distributions are analyzed to explain gravity stabilization and macroscale transport behavior.

ISBN: 9781083345851Subjects--Topical Terms:

548583
Environmental engineering.
Subjects--Index Terms:

Porous media

On the Use of Entropy Production to Improve Mathematical Models and Numerical Methods for Non-Dilute Flow and Transport in Porous Media.
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245 1 0 $a On the Use of Entropy Production to Improve Mathematical Models and Numerical Methods for Non-Dilute Flow and Transport in Porous Media.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2020
300 $a 139 p.
500 $a Source: Dissertations Abstracts International, Volume: 82-01, Section: B.
500 $a Advisor: Miller, Cass T.
502 $a Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2020.
506 $a This item must not be sold to any third party vendors.
520 $a Non-dilute flow and transport in porous media plays an important role in many natural and engineered systems, however a mature understanding is lacking. As environmental conditions change and water resources become scarcer, the need for a more complete understanding of non-dilute flow and transport will be necessary to address future challenges, for example, assessing impacts of climate change on fresh water supplies and examining mitigation strategies. The thermodynamically constrained averaging theory (TCAT) is an approach for developing mathematical models that ties together conservation and thermodynamic laws and connects all spatial scales. This approach is used to develop a new macroscale model for non-dilute flow and transport in porous media. This model is found to more accurately describe a set of non-dilute laboratory displacement experiments as compared to existing models. Through the development of the model, an entropy production rate is derived and a new numerical method is formulated that utilizes the entropy production rate to improve computational efficiency. The general framework of this new approach can be applied to other models where the entropy production rate is known. To further improve macroscale models and our understanding of non-dilute behavior, microscale simulations are performed. As TCAT relates all spatial scales, the microscale simulations are averaged to gain insight on macroscale behavior. The importance that density, viscosity, and activity have on macroscale transport is assessed and microscale velocity distributions are analyzed to explain gravity stabilization and macroscale transport behavior.
590 $a School code: 0153.
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650 4 $a Thermodynamics. $3 517304
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653 $a Non-dilute flow
653 $a Thermodynamically constrained averaging theory
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710 2 $a The University of North Carolina at Chapel Hill. $b Environmental Sciences and Engineering. $3 2104684
773 0 $t Dissertations Abstracts International $g 82-01B.
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