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An acoustic eigenvalue problem and i...

Landgren, Jeffrey K.

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An acoustic eigenvalue problem and its application to Electrochemistry.

Record Type:	Electronic resources : Monograph/item
Title/Author:	An acoustic eigenvalue problem and its application to Electrochemistry./
Author:	Landgren, Jeffrey K.
Published:	Ann Arbor : ProQuest Dissertations & Theses, : 2016,
Description:	123 p.
Notes:	Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
Contained By:	Dissertation Abstracts International78-05B(E).
Subject:	Applied mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10181912
ISBN:	9781369304381

An acoustic eigenvalue problem and its application to Electrochemistry.
Landgren, Jeffrey K.

An acoustic eigenvalue problem and its application to Electrochemistry. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 123 p.

Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.

Thesis (Ph.D.)--The University of Iowa, 2016.

The fundamental process that lies at the foundation of batteries, capacitors, and solar cells is the electron transfer process. This takes place at an interface or boundary in each device and is governed by its corresponding chemical reaction. Making these devices more efficient can help decrease our negative impact on the environment. Recent experiments in the field of Electrochemistry demonstrate that sound waves act as a catalyst for these electron transfer reactions. A model is developed using an Euler equation (conservation of momentum), conservation of mass equation, boundary motion equation, and surface tension equation.

ISBN: 9781369304381Subjects--Topical Terms:

2122814
Applied mathematics.

An acoustic eigenvalue problem and its application to Electrochemistry.
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020 $a 9781369304381
035 $a (MiAaPQ)AAI10181912
035 $a AAI10181912
040 $a MiAaPQ $c MiAaPQ
100 1 $a Landgren, Jeffrey K. $3 3279490
245 1 3 $a An acoustic eigenvalue problem and its application to Electrochemistry.
260 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2016
300 $a 123 p.
500 $a Source: Dissertation Abstracts International, Volume: 78-05(E), Section: B.
500 $a Advisers: Gerhard Strohmer; Johna Leddy.
502 $a Thesis (Ph.D.)--The University of Iowa, 2016.
520 $a The fundamental process that lies at the foundation of batteries, capacitors, and solar cells is the electron transfer process. This takes place at an interface or boundary in each device and is governed by its corresponding chemical reaction. Making these devices more efficient can help decrease our negative impact on the environment. Recent experiments in the field of Electrochemistry demonstrate that sound waves act as a catalyst for these electron transfer reactions. A model is developed using an Euler equation (conservation of momentum), conservation of mass equation, boundary motion equation, and surface tension equation.
520 $a Chemically, it is clear that the catalytic phenomenon is derived from the sound waves and how they are affected by the top boundary. When combining these four equations we arrive at a boundary condition involving the top boundary only. We place this condition and the other contributing boundary and initial conditions on the wave equation to understand the interaction that occurs between the waves and the cell. We establish a self-adjoint operator and further use its inverse. Overall, using the Variational form and the Galerkin Method an approximation converges to the solution of the wave equation. With the help of MATLAB these eigenfunctions can be articulated as standing waves.
590 $a School code: 0096.
650 4 $a Applied mathematics. $3 2122814
650 4 $a Analytical chemistry. $3 3168300
690 $a 0364
690 $a 0486
710 2 $a The University of Iowa. $b Applied Mathematical and Computational Sciences. $3 3279491
773 0 $t Dissertation Abstracts International $g 78-05B(E).
790 $a 0096
791 $a Ph.D.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10181912