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In a trial on a two-stage, single acting, reciprocating air compressor, following data were recorded.

1) Free air delivery per minute = 6m3

2) Free air conditions = 1 bar,27oC

3) Delivery pressure = 30 bar

4) Compressor speed = 300 rpm

5) Intermediate pressure = 6 bar

6) Temperature at the inlet of HP cylinder = 270C

7) Law of compression = PV1.3

8) Mechnical efficiency = 85%

9) Stroke to bore ration for LP cylinder = 1.2

Calculate:

a)Cylinder diameters

b)power input, neglecting clearance volume

1 Answer
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Given: FAD = 6 m3/min, P1= 1 bar, T1=27o=300k P3=30 bar , N = 300 rpm, P2=6 bar ,T5=27o=300k PV1.3=C ,ηmech=0.85,[LD]LP=1.2 To Find: D1,D2 ,Power. Solution:

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FAD =V1V4=V1=6m3/min

V1=(π/4)D21 L.N

But L=1.2D1

V1=π/4×1.2×D31 .N

6=π/4 ×1.2 ×D31 ×300

D1=0.276 m=276mm

Assuming common stroke,$ …

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