In a horizontal tube of diameter 2mm and length 100cm water flows at the rate of 60cc in 10 minutes against viscous drag. If n= 10 poise. Calculate the force required to mantain the flow.
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Answer:
given = diameter = 2mm
length = 100cm
rate = 60cc
time = 10min
n = 10 poise
to fine = force
solution =
for radius = d /2 = 2mm / 2 = 0.1cm
length = l = 100cm
volume per second
V= 60 / 10 x 60= 1/10cm³s⁻¹
η = 10poise
F = 8ηlV/r²
F = 8 X 10 X 100/ (0.1)²X 1/10= 80,000dyne .
the force required to mantain the flow.80,000dyne .
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