###### Fluid Mechanics and Hydraulic Machines

601 SOLVED PROBLEMS

Question: 21.15

## A single-acting reciprocating pump having a bore and stroke of 20 cm and 30 cm respectively runs at 30 rpm. The suction and delivery pipes are both of 10 cm in diameter. The lengths of the suction and delivery pipes are 5 m and 15 m respectively. The suction and delivery heads are 3.2 m and 10 m, ...

Given data: Diameter of piston                    ...
Question: 20.2

## A centrifugal pump delivers 0.3 m³/s against a head of 30 m at 1400 rpm. The external diameter of impeller is 0.5 m and the outlet width is 0.05 m. If the manometric efficiency is 80%, find the vane angle at outlet. ...

Given data: Discharge                             ...
Question: 15.11

## A man descends to the ground from an aircraft with the help of a hemispherical parachute of 3 m diameter against the resistance of air. If the weight of the man is 690 N, find the velocity of parachute with which it comes down. The density of air is 1.2 kg/m³ and. CD = 0.4 for the hemisphere. ...

Given data: Diameter of parachute                 ...
Question: 15.12

## A solid sphere of diameter 5 mm is rising through an oil at a constant velocity of 1 cm/s. The density and dynamic viscosity of the oil are 850 kg/m³ and 0.7 N-s/m², respectively. Find the density of the material from which the sphere is made. ...

Given data: Diameter of sphere                    ...
Question: 15.6

## A kite weighing 3.2 N has a planform area of 0.6 m² and is flying in a wind velocity of 20 km/h. When the string attached to the kite is inclined at an angle 30° to the vertical, the tension in the string was found to be 5.6 N. Compute the coefficient of drag and lift. Density of air is 1.22 kg/m³. ...

Given data: Weight of kite                        ...
Question: 15.13

## A spherical ball of diameter 6 mm and density 8000 kg/m³ is falling in an oil of unknown viscosity. If the ball attains a terminal velocity of 50 mm/s, find the viscosity of oil. The density of oil is given as 900 kg/m³. ...

Given data: Diameter of ball                      ...
Question: 15.15

## A spherical metallic ball of diameter 3 mm and density 8500 kg/m³ is allowed to fall in a liquid of density 900 kg/m³ and viscosity 1.6 N-s/m². Compute (a) the total drag force, the skin friction drag and the pressure drag, and (b) the terminal velocity of ball in liquid. ...

Given data: Diameter of ball                    D ...
Question: 15.16

## Determine the terminal velocity of 0.2 mm diameter rain drops in a standard atmosphere where the density and dynamic viscosity are 1.2 kg/m³ and 1.1 x 10^-5 N-s/m², respectively. ...

Given data: Diameter of rain drops                ...
Question: 15.17

## Consider fluid flows around a circular cylinder as shown in Fig. 15.11. The flow separates at θ =120°. Till the point of separation, the pressure distribution follows p = p∞ + 1/2 ρ U²∞(1 – 4 sin² θ). Beyond the separation point, the pressure in the wake region remains approximately constant. ...

Given that:  p=p_{\infty}+\frac{1}{2} \rho ...