Kinematic boundary condition: Difference between revisions

Latest revision as of 12:04, 26 March 2024

The condition that the fluid velocity directed perpendicular to a solid boundary must vanish on the boundary itself.

This may be stated mathematically by the expression

where n is a unit vector normal to a solid surface and u is the fluid velocity vector. In meteorology, this boundary condition is often employed in considering flow near the earth's surface. When the boundary is a fluid surface or interface, this condition applies to the vector difference of velocities across the interface and requires that the interface, although in motion, will at all times consist of the same fluid parcels. In meteorology, such a condition must be applied at fronts and other surfaces of discontinuity.
See also dynamic boundary condition.

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+{{Term
+|Display title=kinematic boundary condition
-{{TermHeader}}
+|Definitions={{Definition
-{{TermSearch}}
+|Num=1
+|Meaning=The condition that the fluid [[velocity]] directed perpendicular to a  solid boundary must vanish on the boundary itself.
-<div class="termentry">
+|Explanation=This may be stated mathematically by the expression    <blockquote>[[File:ams2001glos-Ke5.gif|link=|center|ams2001glos-Ke5]]</blockquote>    where '''n''' is a unit [[vector]] normal to a solid surface and '''u''' is the fluid velocity vector. In meteorology,  this boundary condition is often employed in considering flow near the earth's surface. When the  boundary is a fluid surface or [[interface]], this condition applies to the vector difference of velocities  across the interface and requires that the interface, although in motion, will at all times consist of  the same fluid parcels. In meteorology, such a condition must be applied at fronts and other surfaces  of [[discontinuity]]. <br/>''See also'' [[dynamic boundary condition]].
-  <div class="term">
+}}
-== kinematic boundary condition ==
+}}
-  </div>
-<div class="definition"><div class="short_definition">The condition that the fluid [[velocity]] directed perpendicular to a  solid boundary must vanish on the boundary itself.</div><br/> <div class="paragraph">This may be stated mathematically by the expression    <div class="display-formula"><blockquote>[[File:ams2001glos-Ke5.gif|link=|center|ams2001glos-Ke5]]</blockquote></div>    where '''n''' is a unit [[vector]] normal to a solid surface and '''u''' is the fluid velocity vector. In meteorology,  this boundary condition is often employed in considering flow near the earth's surface. When the  boundary is a fluid surface or [[interface]], this condition applies to the vector difference of velocities  across the interface and requires that the interface, although in motion, will at all times consist of  the same fluid parcels. In meteorology, such a condition must be applied at fronts and other surfaces  of [[discontinuity]]. <br/>''See also'' [[dynamic boundary condition]].</div><br/> </div>
-</div>
-{{TermIndex}}
-{{TermFooter}}
-[[Category:Terms_K]]