Problem 5.55 - The components of this vector are the x y and z-components of the convective acceleration t w z w w y w v x w u a t v z v w y v v x

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Problem 5.55 [Difficulty: 3] Given: Definition of "del" operator Find: Solution: We will directly substitute the velocity vector into the expression. k z j y i x ˆ ˆ ˆ Governing Equation: ("del" operator in rectangular coordinates) k w j v i u V ˆ ˆ ˆ (velocity vector) Assumptions: None.      k z w w y w v x w u j z v w y v v x v u i z u w y u v x u u k w j v i u z w y v x u k w j v i u k z j y i x k w j v i u V V ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ ˆ Directly substituting we get:
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Unformatted text preview: The components of this vector are the x-, y-, and z-components of the convective acceleration: t w z w w y w v x w u a t v z v w y v v x v u a t u z u w y u v x u u a zp yp xp an expression for the convective acceleration for a fluid particle....
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This note was uploaded on 10/19/2011 for the course EGN 3353C taught by Professor Lear during the Fall '07 term at University of Florida.

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