# exam2_solns - Name Solutions CE 3502 In class 2nd hour exam...

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Name: Solutions CE 3502 In class 2 nd hour exam November 13, 2008 Answer on Exam sheet SHOW ALL WORK, DEFINE YOUR VARIABLES, ETC. FOR CREDIT 1. Water flows through a constant diameter pipe of constant cross-sectional area (given) from A to B. The discharge in the pipe is Q. The water exits from the pipe, into the atmosphere after turning through a 180 o bend. The pipe is supported on a frictionless base, in the x-y plane (i.e., the pipe is horizontal, and gravity points into the page). The head loss from the pipe joint (point A) to the end of the pipe (point B) is h L . The flow is turbulent. (a) Find the gage pressure at A. (10 points) Conservation of energy: L T 2 B B B P 2 A A A h h g 2 v z p h g 2 v z p + + α + + γ = + α + + γ atm B p p = , so GAGE , A B A p p p = ; m 0 z z C A = ; 0 h h T P = = ; A B v v = ; given h L = So L GAGE , A h p γ = (b) Determine the horizontal force on the joint needed to hold the U-shaped pipe in place. (15 points) Conservation of momentum for x (in the plane of the page and to the right): ( ) ( ) α α + ρ = CS IN x CS OUT x CV x x v m v m V d v F & & ; ( ) A p F A p p F F GAGE , A B A x + = + = ( ) ( ) ( ) ( ) ( ) ( ) A / Q 2 Q v 2 m 1 v v m 0 v m v m V d v A A B CS IN x CS OUT x CV x ρ = = α + = α α + ρ & & & & So A / Q 2 A p F 2 GAGE , A ρ = atmosphere

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Name: Solutions CE 3502 In class 2 nd hour exam November 13, 2008 Answer on Exam sheet SHOW ALL WORK, DEFINE YOUR VARIABLES, ETC. FOR CREDIT
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