Problem 6.18

# Problem 6.18 - Problem 6.18 [Difficulty: 3] Given: Nozzle...

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Problem 6.18 [Difficulty: 3] Given: Nozzle geometry Find: Acceleration of fluid particle; Plot; Plot pressure gradient; find L such that pressure gradient < 5 MPa/m in absolute value Solution: The given data is D i 0.1 m = D o 0.02 m = L 0.5 m = V i 1 m s = ρ 1000 kg m 3 = For a linear decrease in diameter Dx () D i D o D i L x + = From continuity QV A = V π 4 D 2 = V i π 4 D i 2 = Q 0.00785 m 3 s = Hence Vx () π 4 Dx () 2 Q = Vx () 4Q π D i D o D i L x + 2 = or Vx () V i 1 D o D i LD i x + 2 = The governing equation for this flow is or, for steady 1D flow, in the notation of the problem a x V x V d d = V i 1 D o D i LD i x + 2 x V i 1 D o D i LD i x + 2 d d = a x x () 2V i 2 D o D i () D i L 1 D o D i () D i L x + 5 = This is plotted in the associated

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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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Problem 6.18 - Problem 6.18 [Difficulty: 3] Given: Nozzle...

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