Difference between revisions of "Shallow water wave"

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<div class="definition"><div class="short_definition">(<br/>''Also called'' [[long wave]], Lagrangian wave.) An ocean wave with its length  sufficiently large compared to the water depth (i.e., 25 or more times the depth) that the following  approximation is valid:  <div class="display-formula"><blockquote>[[File:ams2001glos-Se17.gif|link=|center|ams2001glos-Se17]]</blockquote></div> where ''c'' is the [[wave velocity]], ''g'' the [[acceleration of gravity]], and ''H'' the water depth.</div><br/> <div class="paragraph">Thus the [[velocity]] of shallow water waves is independent of [[wavelength]] ''L''. In water depths  between 0.5''L'' and 0.04''L'' it is necessary to use the more precise expression  <div class="display-formula"><blockquote>[[File:ams2001glos-Se18.gif|link=|center|ams2001glos-Se18]]</blockquote></div><br/>''See'' [[deep-water wave]], [[gravity wave]].</div><br/> </div>
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<div class="definition"><div class="short_definition">(''Also called'' [[long wave]], Lagrangian wave.) An ocean wave with its length  sufficiently large compared to the water depth (i.e., 25 or more times the depth) that the following  approximation is valid:  <div class="display-formula"><blockquote>[[File:ams2001glos-Se17.gif|link=|center|ams2001glos-Se17]]</blockquote></div> where ''c'' is the [[wave velocity]], ''g'' the [[acceleration of gravity]], and ''H'' the water depth.</div><br/> <div class="paragraph">Thus the [[velocity]] of shallow water waves is independent of [[wavelength]] ''L''. In water depths  between 0.5''L'' and 0.04''L'' it is necessary to use the more precise expression  <div class="display-formula"><blockquote>[[File:ams2001glos-Se18.gif|link=|center|ams2001glos-Se18]]</blockquote></div><br/>''See'' [[deep-water wave]], [[gravity wave]].</div><br/> </div>
 
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Latest revision as of 16:05, 20 February 2012



shallow water wave

(Also called long wave, Lagrangian wave.) An ocean wave with its length sufficiently large compared to the water depth (i.e., 25 or more times the depth) that the following approximation is valid:
ams2001glos-Se17
where c is the wave velocity, g the acceleration of gravity, and H the water depth.

Thus the velocity of shallow water waves is independent of wavelength L. In water depths between 0.5L and 0.04L it is necessary to use the more precise expression
ams2001glos-Se18

See deep-water wave, gravity wave.