Question Statement:
Two overflowing water reservoirs are connected with a100m long pipe of circular cross-section (of
radius, R = 0.02m), such that height difference h remains constant as shown in the figure below.
The centerline velocity in the pipe is 10m/s. The velocity profile inside the pipe over the entire
length is uu = - RR2
4𝜇𝜇
dddd
dd
xx �1 - 𝜋𝜋2
RR2�, where,
dddd
dd
xx is a constant pressure gradient along the pipe length,
x is measured from theleft end of the pipe along its central axis and r is radial location inside the
pipe with respect to its axis.(Given data: Density and kinematic viscosity of water are 1000kg/m3
and 1x10-6m2/srespectively; acceleration due to gravity is 10m/s2).
If all other losses except the frictional losses at the pipe wall are neglected, the value of h in meter
is ____.
AE 7/11
AE (GATE 2014)
- AE