Acceleration: Difference between revisions
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== acceleration == | == acceleration == | ||
[[ | The rate of change with time of the [[velocity]] vector of a [[particle]].<br/> If '''u''' is the [[vector]] velocity, the acceleration may be written as ''D'''''u'''/''Dt'', where ''D''/''Dt'' is the material (or total) derivative. For most purposes in [[hydrodynamics]] where [[Eulerian coordinates]] are employed, the acceleration is decomposed as follows: <blockquote>[[File:ams2001glos-Ae5.gif|link=|center|ams2001glos-Ae5]]</blockquote> where ∂'''u'''/∂''t'' is called the [[local acceleration]], and '''u''' · '''∇u''' is called the [[convective acceleration]].<br/> | ||
Latest revision as of 16:11, 7 November 2023
acceleration
The rate of change with time of the velocity vector of a particle.
If u is the vector velocity, the acceleration may be written as Du/Dt, where D/Dt is the material (or total) derivative. For most purposes in hydrodynamics where Eulerian coordinates are employed, the acceleration is decomposed as follows:
where ∂u/∂t is called the local acceleration, and u · ∇u is called the convective acceleration.
