Fluid Mechanics...

Two pipes of lengths 600 m and 300 m and of diameters 400 mm and 200 mm are connected in series. These pipe are to be replaced by a single pipe of length 900 m, then the diameter of new pipe is _______mm.

Water at 5° (ρ = 1000 kg/m³ and μ = 1.519 × 10^-3 kg/m.s) is flowing steadily through a 0.3 cm diameter, 9-m long horizontal pipe at an average velocity of 0.9 m/s. Find the head loss?

It is required to carry out model studies on a boat having a characteristic length of 3.6 m and travelling at a speed of 3 m/s. Assume the acceleration due to gravity as 10 m/s² and neglect the effects due to viscous and surface tension forces. The value of appropriate non-dimensional number is ____.

A pump is lifting water from pond to overhead reservoir situated at 15 m above pond. If head loss through pump is 5 m and flow rate is 170 m³/hr with efficiency of 60 %. Find power (kW) required to drive pump?

A 1:16 scale model of a submarine moving far below the surface of water is tested in a water tunnel. If the speed of prototype is 8 m/s, the corresponding velocity of water in tunnel is____

Water flows through a pipe of length 3 km at the rate of 250 litres/s and head lost due to friction is 5 m. Find the diameter of this pipe (in cm) ________ (Take chezy’s constant, c = 50)

A pipe of diameter 1.8 m is required to transport an oil of relative density 0.8 and viscosity 0.04 poise at the rate of 4 m3/s. Tests were conducted on a 20 cm diameter pipe using water. The discharge (litres/s) through the model is _____. (Correct up to 2 decimals)