Question
Download Solution PDFIn Borda mouthpiece, the coefficient of contraction is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Borda's mouthpiece is a short cylindrical tube projecting inward. The edge of the tube must be relatively thin and sharp to ensure perfect contraction, and its length, about ½ diameter, such that the jet will not touch the sides of the tube.
Pressure force at the entrance of the mouth piece
F = ρ × g × H × a , where a is the area of the mouthpiece.
H = distance of center of gravity of the mouthpiece from the free surface.
from Newton's second law of motion, the rate of change of momentum = net force
ρ × a × vc × (vc - 0) = ρ × g × H × a
ρ × ac × vc2 = ρ × g × H × a ..........(A)
applying Bernoulli's equation
P1 = P2 = Patm = 0, hf = 0 (since the fluid is frictionless)
from eqn. (A)
ρ × ac × 2g × H = ρ × g × H × a
ac =
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