Determine the size of the cylinder for a double acting air compressor of 40kw indicated Power in which air is drawn in at 1 bar &15°c and compressed according to the law PV^1.2= constant to 6 bar. The compressor runs at 100 rpm with average piston speed of 152.5 m/min. Neglect clearance.
Answers
Answer:
Determine the size of the cylinder for a double acting air compressor of 40kw indicated Power in which air is drawn in at 1 bar &15°c and compressed according to the law PV^1.2= constant to 6 bar. The compressor runs at 100 rpm with average piston speed of 152.5 m/min. Neglect clearance.
Answer:
The size of the cylinder for a double-acting compressor is .
Explanation:
Given,
The power of a compressor, P =
The average speed of piston =
The speed of the compressor, N =
Pressure, P₁ =
Pressure, P₂ =
= Constant,
Therefore, n =
Hence, it is a polytropic process, in which heat and work done goes in the same direction.
Size of the cylinder, d =?
As we know,
- The average piston speed = 2lN
Here,
- l = length
- N = speed of the compressor
Therefore,
- The average piston speed = 2lN = 2.54 m/s
- =
Now, we have to find out the volume by using the equation given below:
Here, d = size of the cylinder.
As we know,
- Power can be calculated by the equation given below:
- -------equation (1)
Here,
- P = power
- W = work done
- N = speed of the compressor
For this, we have to calculate the work done for the polyprotic process
After putting the given values in the equation, we get:
- ( )
Now, after putting the value of work done in equation (1), we get:
Hence, the size of the cylinder is .