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Forced emissions of nonlinear water ...

Teng, Michelle Hsiao Tsing.

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Forced emissions of nonlinear water waves in channels of arbitrary shape.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Forced emissions of nonlinear water waves in channels of arbitrary shape./
作者:	Teng, Michelle Hsiao Tsing.
面頁冊數:	193 p.
附註:	Adviser: T. Wu.
Contained By:	Dissertation Abstracts International51-06B.
標題:	Applied Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9031493

Forced emissions of nonlinear water waves in channels of arbitrary shape.
Teng, Michelle Hsiao Tsing.

Forced emissions of nonlinear water waves in channels of arbitrary shape. - 193 p.

Adviser: T. Wu.

Thesis (Ph.D.)--California Institute of Technology, 1990.

This thesis is a joint theoretical, numerical and experimental study concentrated on investigating the phenomenon of weakly nonlinear, weakly dispersive long water waves being generated and propagating in a channel of arbitrary cross section. The water depth and channel width are assumed comparable in size and they may vary both in time and space. Two types of theoretical models, i.e., the generalized channel Boussinesq (gcB) two-equation model and the forced channel Korteweg-de Vries (cKdV) model, are derived by using perturbation expansions for quasi-one-dimensional long waves in shallow water. In the special case for channels of variable shape and dimension but fixed in time, the motion of free traveling solitons may be calculated by our models to predict their propagation with modulated amplitude, velocity and phase. In the presence of external forcings, such as a surface pressure distribution or a submerged obstacle moving with a near critical speed, solitary waves can be produced periodically to advance upstream. Analytical solutions for three specific cross-sectional shapes, namely, the rectangular, triangular and semi-circular sections, are obtained in closed form and with the main features of the solutions examined. The specific geometry of the cross section is found to affect only the magnitude of the dispersive terms in the equations. For a submerged moving object taken as an external forcing, its effective strength of forcing is directly related to the blockage-ratio of the cross-sectional area. Our long-wave models have their useful applications to the areas of river dynamics, near-coastal engineering, and other related fields.Subjects--Topical Terms:

1018410
Applied Mechanics.

Forced emissions of nonlinear water waves in channels of arbitrary shape.
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035 $a (UnM)AAI9031493
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100 1 $a Teng, Michelle Hsiao Tsing. $3 1256404
245 1 0 $a Forced emissions of nonlinear water waves in channels of arbitrary shape.
300 $a 193 p.
500 $a Adviser: T. Wu.
500 $a Source: Dissertation Abstracts International, Volume: 51-06, Section: B, page: 2979.
502 $a Thesis (Ph.D.)--California Institute of Technology, 1990.
520 $a This thesis is a joint theoretical, numerical and experimental study concentrated on investigating the phenomenon of weakly nonlinear, weakly dispersive long water waves being generated and propagating in a channel of arbitrary cross section. The water depth and channel width are assumed comparable in size and they may vary both in time and space. Two types of theoretical models, i.e., the generalized channel Boussinesq (gcB) two-equation model and the forced channel Korteweg-de Vries (cKdV) model, are derived by using perturbation expansions for quasi-one-dimensional long waves in shallow water. In the special case for channels of variable shape and dimension but fixed in time, the motion of free traveling solitons may be calculated by our models to predict their propagation with modulated amplitude, velocity and phase. In the presence of external forcings, such as a surface pressure distribution or a submerged obstacle moving with a near critical speed, solitary waves can be produced periodically to advance upstream. Analytical solutions for three specific cross-sectional shapes, namely, the rectangular, triangular and semi-circular sections, are obtained in closed form and with the main features of the solutions examined. The specific geometry of the cross section is found to affect only the magnitude of the dispersive terms in the equations. For a submerged moving object taken as an external forcing, its effective strength of forcing is directly related to the blockage-ratio of the cross-sectional area. Our long-wave models have their useful applications to the areas of river dynamics, near-coastal engineering, and other related fields.
590 $a School code: 0037.
650 4 $a Applied Mechanics. $3 1018410
650 4 $a Engineering, Civil. $3 783781
650 4 $a Engineering, Hydraulic. $3 1256405
690 $a 0346
690 $a 0543
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710 2 0 $a California Institute of Technology. $3 726902
773 0 $t Dissertation Abstracts International $g 51-06B.
790 $a 0037
790 1 0 $a Wu, T., $e advisor
791 $a Ph.D.
792 $a 1990
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9031493