To extract the pollution-free fuel from the planet Ceria X-3, a pipe of length 12.1 metres is used. If the pipe has a valve at every 11 centimetres, the total number of valves would be ____.
Two reservoirs are connected through a 930 m long. 0.3 m diameter pipe, which has a gate valve. The pipe entrance is sharp (loss coefficient = 0.5) and the valve is half-open (loss coefficient = 5.5). The head difference between the two reservoirs is 20 m. Assume the friction factor for the pipe as 0.03 and g=10 m/s2. The discharge in the pipe accounting for all minor and major losses is m3/s