In: Mechanical Engineering
Please calculate the air consumption rate below in litre/sec
The forge contains one large pneumatically operated hammer driven by 1 double acting cylinder, piston rod at one end only, bore 400mm, piston rod diameter 100mm, stroke 680mm. The piston executes 9 up strokes and 9 down strokes in 1.5 minutes then does nothing for 3.5 minutes, then repeats the cycle. The air is regulated to enter at 590 kPa.g. and in this machine the pressure in the cylinder may be taken to be this for the full stroke.
Volume of pneumatic cylinder:
(/4) d2.L
d = Bore diameter = 400mm
L = Stroke length = 680mm
Therefore,
V = (/4) x 4002 x 680
V = 85.45 x 106 mm3
This is the volume occupied by piston in one stroke.
In 1.5 minutes, 9 suction strokes takes place.
Hence, 85.45 x 106 x9 = 769.06 x 106 mm3
1.5 min = 90 seconds
Air consumption rate is :
769.06 x 106 mm3 / 90 seconds
Hence, air consumption rate per sec is, 769.09 x 106/ 90 = 8.545 x 109 mm3/sec
We have to calculate air consumption rate in lit/sec,
As, 1mm3 = 1 x 10-6 lit/sec
Therefore, 8.5451 lit/sec
Air consumption is 8.5451 lit/sec.