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1) Consider the wave of small wave elevation in water of infinite depth. By linearization the water fluid flow can be described by velocity potential o which satisfy linear equations. For the wave described by: ¢ gª ekz sin(kx – wt) and 3 acos(kx – wt) show i. that:

1) Consider the wave of small wave elevation in water of infinite depth. By linearization the water fluid flow can be described by velocity potential o which satisfy linear equations. For the wave described by: ¢ gª ekz sin(kx – wt) and 3 acos(kx – wt) show i. that:

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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1) Consider the wave of small wave elevation in water of infinite depth. By linearization the water fluid flow can be described by velocity potential o which satisfy linear equations. i. For the wave described by: o ekz sin(kx – wt) and 3 = acos(kx – wt) show that: a. The potential energy in a wave length is Apga?/4. b. The kinetic energy in the wave length is Apga?/4 as well.
Transcribed Image Text:1) Consider the wave of small wave elevation in water of infinite depth. By linearization the water fluid flow can be described by velocity potential o which satisfy linear equations. i. For the wave described by: o ekz sin(kx – wt) and 3 = acos(kx – wt) show that: a. The potential energy in a wave length is Apga?/4. b. The kinetic energy in the wave length is Apga?/4 as well.
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