Lecture 11 Conservation of Momentum

Lecture 11 Conservation of Momentum - Thermal and Fluids...

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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski Lecture 11 – Conservation of Linear Momentum in Open Systems Fluids can exert significant forces as they flow over surfaces. For example: - wind raising a kite - lift on an aircraft - water flowing around the pylons of a bridge To calculate fluid forces, we use conservation of momentum. Momentum is mass times velocity, or m = B V In the x -direction, x x B m = Lecture 11 Page 1
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Thermal and Fluids Engineering I Prof. Deborah A. Kaminski Lecture 11 Page 2 , B x,cv ( t ) – x-momentum in the control volume at time t B x,cv ( t + t ) – x- momentum in the control volume at time t + t B x ( t ) – x-momentum of the closed system at time t B x ( t + t ) – x- momentum of the closed system at time t + t () () , x xcv i x Bt B t m =+ i V ,, x e xe B t t m = +∆ t The change of momentum of the closed system in time t is () ( ) ( ) ( ) ,,, , x x t Bt B = e i xi t t B t m m −∆ ( ) ( ) ( ) , xc xx , v ei x ex i ttBt mm t t t ∆∆ + B t =
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This note was uploaded on 04/06/2009 for the course ENGR 2250 taught by Professor Borca-tasciuc during the Spring '08 term at Rensselaer Polytechnic Institute.

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Lecture 11 Conservation of Momentum - Thermal and Fluids...

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