A traingular pipe network is shown in the figure.
The head loss in each pipe is given by h_{f}=rQ^{1.8}, with the variable expressed in a consistent set of units. The value of r for the pipe AB is 1 and for the pipe BC is 2. If the discharge suplied at the point A (i.e. 100) is equally divided between the pipe AB and AC, the value of r (up to two decimal places) for the pipe AC should be _____________
An incompressible homogeneous fluid is flowing steadily in a variable diameter pipe having the large and small diameters as 15 cm and 5 cm, respectively. If the velocity at a section at the 15 cm diameter portion of the pipe is 2.5 m/s, the velocity of the fluid (in m/s) at a section falling in 5 cm portion of the pipe is ___________
An incompressible fluid is flowing at a steady rate in a horizontal pipe. From a section, the pipe divides into two horizontal parallel pipes of diameters d_{1} and d_{2} (where d_{1} = 4d_{2}) that run for a distance of L each and then again join back to a pipe of the original size. For both the parallel pipes, assume the head loss due to friction only and the Darcy-Weisbach friction factor to be the same. The velocity ratio between the bigger and the smaller branched pipes is _________
A straight 100 m long raw water gravity main is to carry water from an intake structure to the jack well of a water treatment plant. The required flow through this water main is 0.21 m^{3}/s. Allowable velocity through the main is 0.75 m/s. Assume f = 0.01, g = 9.81 m/s^{2}. The minimum gradient (in cm/100 m length) to be given to this gravity main so that the required amount of water flows without any difficulty is ___________
A 2 km long pipe of 0.2 m diameter connects two reservoirs. The difference between water levels in the reservoirs is 8 m. The Darcy-Weisbachfriction factor of the pipe is 0.04. Accounting for frictional, entry and exit losses, the velocity in the pipe (in m/s) is:
The circular water pipes shown in the sketch are flowing full. The velocity of flow (in m/s) in the branch pipe “R” is
A single pipe of length 1500 m and diameter 60 cm connects two reservoirs having a difference of 20 m in their water levels. The pipe is to be replaced by two pipes of the same length and equal diameter d to convey 25% more discharge under the same head loss. If the friction factor is assumed to be the same for all the pipes, the value of d is approximately equal to which of the following options?
Water flows through a 100 mm diameter pipe with a velocity of 0.015 m/sec. If the kinematic viscosity of water is 1.13 × 10^{-6} m^{2}/sec, the friction factor of the pipe material is