Two reservoirs maintain a constant difference of water levels of 11.25 m and are connected by a 10 cm diameter pipeline of 294.3 m length. The total of all head losses, by friction, valve losses, bend loses, inlet and exit losses, and velocity head can be taken as 98.1 v2/2g (in m) where v is the flow velocity through the pipe (in m/sec). Assuming that the valve at the downstream end is suddenly opened so that there is no pressure wave, what will be the time taken for the velocity of flow in the pipe to attain 95% of the steady terminal velocity? Take \(\frac{1}{{9.81}} = 0.102.\)

• A. 2.25 loge 19
• B. 2 loge 19
• C. 2.25 loge 39
• D. 2 loge 39