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Contributions to forced capillary-gravity waves under Hocking's edge condition.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Contributions to forced capillary-gravity waves under Hocking's edge condition./
作者:	Yeh, Nai-Sher.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, : 1998,
面頁冊數:	129 p.
附註:	Source: Dissertations Abstracts International, Volume: 60-02, Section: B.
Contained By:	Dissertations Abstracts International60-02B.
標題:	Fluid dynamics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9824605
ISBN:	9780591870152

Contributions to forced capillary-gravity waves under Hocking's edge condition.
Yeh, Nai-Sher.

Contributions to forced capillary-gravity waves under Hocking's edge condition. - Ann Arbor : ProQuest Dissertations & Theses, 1998 - 129 p.

Source: Dissertations Abstracts International, Volume: 60-02, Section: B.

Thesis (Ph.D.)--The University of Wisconsin - Madison, 1998.

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

The linear problem of forced surface waves under gravity generated by a plane wave maker was first considered by Havelock in 1929. Later Evans (1968(b)) studied the problem of a heaving cylinder in a fluid with the effect of surface tension included and proposed an edge condition at a contact line. Hocking (1987) suggested another edge condition, which, however, has not been fully investigated for wave maker problems. In this dissertation, we shall consider linear problems of forced capillary-gravity waves generated by a plane or circular wave maker in a fluid of finite or infinite depth under Hocking's edge condition. For a plane wave maker in a fluid of finite depth, two different methods are employed. One is the Green's function method, and the other is the expansion method, in which a proof and interpretation of an expansion theorem for finite depth are given. Then the uniqueness of a solution is proved. The case of infinite depth is solved separately, and the uniqueness of a solution is also proved. For the forced capillary-gravity waves generated by a circular wave maker, we find solutions for the interior and exterior problems of the wave maker. In each problem the azimuthal wave number is arbitrary and the uniqueness of a solution is proved. The interior problem for a fluid of finite depth is first solved by the Green's function method and then by the method proposed by Miles (1996). Eigenvalue problem in this case is studied by means of a cubic equation for an eigenvalue parameter. For the exterior problem, expansion theorems are used to construct solutions for the cases of finite depth and infinite depth, and a proof of the expansion theorem for infinite depth is given.

ISBN: 9780591870152Subjects--Topical Terms:

545210
Fluid dynamics.
Subjects--Index Terms:

edge condition

Contributions to forced capillary-gravity waves under Hocking's edge condition.
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500 $a Source: Dissertations Abstracts International, Volume: 60-02, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Shen, Mei-Chang.
502 $a Thesis (Ph.D.)--The University of Wisconsin - Madison, 1998.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a The linear problem of forced surface waves under gravity generated by a plane wave maker was first considered by Havelock in 1929. Later Evans (1968(b)) studied the problem of a heaving cylinder in a fluid with the effect of surface tension included and proposed an edge condition at a contact line. Hocking (1987) suggested another edge condition, which, however, has not been fully investigated for wave maker problems. In this dissertation, we shall consider linear problems of forced capillary-gravity waves generated by a plane or circular wave maker in a fluid of finite or infinite depth under Hocking's edge condition. For a plane wave maker in a fluid of finite depth, two different methods are employed. One is the Green's function method, and the other is the expansion method, in which a proof and interpretation of an expansion theorem for finite depth are given. Then the uniqueness of a solution is proved. The case of infinite depth is solved separately, and the uniqueness of a solution is also proved. For the forced capillary-gravity waves generated by a circular wave maker, we find solutions for the interior and exterior problems of the wave maker. In each problem the azimuthal wave number is arbitrary and the uniqueness of a solution is proved. The interior problem for a fluid of finite depth is first solved by the Green's function method and then by the method proposed by Miles (1996). Eigenvalue problem in this case is studied by means of a cubic equation for an eigenvalue parameter. For the exterior problem, expansion theorems are used to construct solutions for the cases of finite depth and infinite depth, and a proof of the expansion theorem for infinite depth is given.
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