# RECIPROCATING COMPRESSOR CALCULATION SHEET ISOTHERMAL COMPRESSION Gas properties, flowrate and conditions. Compressor Calculation Sheet

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1 RECIPRCATING CMPRESSR CALCULATIN SHEET ISTHERMAL CMPRESSIN Gas properties, flowrate and conditions 1 Gas name Air Item or symbol Quantity Unit Item or symbol Quantity Unit Formula 2 Suction pressure, ps bar A Discharge pressure, pd 38.2 bar A 3 Suction temperature, ts 35 C Head (m) : 4 Ts 308 K p CR bar A H IS = R.T1{ Log (r')+ 0.05} 5 MW 28.4 kg/kgmol T CR K Gas horse power (kw) : 6 k S p R = p / p CR GHP IS =0.064 Q1.p1.{ Log (r')+ Δ C }/Z1 7 R S kj/kg. K T R = T / T CR 2.32 ΔC is approx.< 0.05 for Δp < 50 bar 8 DSs kg/m3 Z S 1.00,p<200 bar A and temperature at 9 MCp kj/kgmol. K Cp S kj/kg near 50 C for each stage 10 G kg/hr G mol 423 kgmol/hr 11 Q S m 3 /hr Q N 9467 Nm 3 /hr Q1 capacity (m3/hr) at refference 12 pressure p1 and t1 Compressor Calculation Sheet Item Symbol Unit Quantity Note 13 Preliminary Calculation (General method) 14 Adiabatic compression 15 First Stage Volume flow Qs m3/hr Isothermal efficiency : When cooling system for cylinder and interstage 16 Cylinder intake pressure ps' bara cooler is applied and crankshaft speed is low, L/D is high, isothermal 17 Cylinder exhaust pressure pd' bara efficiency will increase. 18 Pressure ratio (p D / p S ) r (k-1)/k k/(k-1) Total Hydrodynamic head H IS-TTAL m Expected isothermal compr. eff Average isothermal efficiency is approximatelly 0.63 up to 0.70 from medium to large compr Frame BHP selection at first stage Casing I 25 No. of compression acting 2 Fig. A.2/A.3 Approx. no. of stage 7 26 Stroke length, L mm 430 Fig. A.2/A.3 Approx. pressure ratio, r' No. of throw at first stage, z 3 Fig. A.2/A.3 for each stage 28 Crankshaft speed, N RPM 200 Fig. A.1 29 Max. diameter, Dmax (= L / 0.6 ) mm No. of frame 1 31 Calculated frame BHP/throw, 0.11 Qp1 kw 229 App. (A.4) 32 Max. H per throw m 5261 Eq.A.11

2 1 Detail calculation Note 2 Stage 1 Stage 2 Stage 3 Stage 4 Stage 5 Stage 6 Stage 7 Stage 8 3 Mass flow, G Max. H per stage for parallel throws Last cylinder exhaust press. (bara) p Refference condition in 7 t this sheet is equal with 8 Q intake condition 9 Cyl. intake pressure, ps ' (bara) Suction temperat ure, ts ( C) Ts ( K) MW Rs = 8.314/MW p CR T CR p R = p RED = p / pcr #VALUE! 17 T R = T RED = T / T CR Z S MCp S (kj/kgmo l.k) k = MCp Cp S = R.k /(k-1), (k J /kg.k) DSs = 100.ps.R.Ts), (kg/m3) #VALUE! 23 Q S = G / DSs, ( m3/hr) #VALUE! 24 r' Discharge pressure, pd (bara) #VALUE! 26 Cylinder exh p #VALUE! Eq. A8 27 Clearance space vol ume, c (%) Volumetric efficiency, η V Eq. A4 29 Supply efficiency, λ/η V Eq. A5 30 Required pist on capacity, Qp ( m3) #VALUE! Eq. A7 31 Preliminary Piston speed (m/s) Stroke leng, ( ) No. of compression acting No. of throw st z Fill for D < Dmax 35 Crankshaft d, Piston speed, (m/s) Eq. 12, max. 6 m/s 3 37 Piston displacement vol./strok e, m #VALUE! 38 Piston di t ( ) #VALUE! Max.(mm)= Compression continue? Continue Continue Continue Continue Continue Continue Finish - 40 GHP IS Eq Average Isothermal efficiency Total GHP (kw) Mechanical efficiency 0.94 Fig. A4 44 Total BHP (kw) 2557

3 RECIPRCATING CMPRESSR CALCULATIN SHEET ISTHERMAL CMPRESSIN Gas properties, flowrate and conditions 1 Gas name Air Item or symbol Quantity Unit Item or symbol Quantity Unit Formula 2 Suction pressure, ps bar A Discharge pressure, pd 38.2 bar A 3 Suction temperature, ts 35 C Head (m) : 4 Ts 308 K p CR bar A H IS = R.T1{ Log (r')+ 0.05} 5 MW 28.4 kg/kgmol T CR K Gas horse power (kw) : 6 k S p R = p / p CR GHP IS =0.064 Q1.p1.{ Log (r')+ Δ C }/Z1 7 R S kj/kg. K T R = T / T CR 2.32 ΔC is approx.< 0.05 for Δp < 50 bar 8 DSs kg/m3 Z S 1.00,p<200 bar A and temperature at 9 MCp kj/kgmol. K Cp S kj/kg near 50 C for each stage 10 G 6000 kg/hr G mol 211 kgmol/hr 11 Q S 5341 m 3 /hr Q N 4734 Nm 3 /hr Q1 capacity (m3/hr) at refference 12 pressure p1 and t1 Compressor Calculation Sheet Item Symbol Unit Quantity Note 13 Preliminary Calculation (General method) 14 Adiabatic compression 15 First Stage Volume flow Qs m3/hr Cylinder intake pressure ps' bara Cylinder exhaust pressure pd' bara Pressure ratio (p D / p S ) r total (k-1)/k k/(k-1) Total Hydrodynamic head H IS-TTAL m Expected isothermal eff Average isothermal efficiency is approximatelly 0.63 (medium size) up to 0.70 (large) Frame BHP selection at first stage Casing I 25 No. of compression acting 1 Fig. A.2/A.3 Approx. no. of stage, i 4 26 Stroke length, L mm 400 Fig. A.2/A.3 Approx. pressure ratio, r' = r TTAL (1 / I ) 27 No. of throw at first stage, z 4 Fig. A.2/A.3 for each stage 28 Crankshaft speed, N RPM 200 Fig. A.1 29 Max. diameter, Dmax (= L / 0.6 ) mm No. of frame 1 31 Calculated frame BHP/throw, 0.11 Qp1 kw 185 App. (A.4) 32 Max. H per throw m 8470 Eq.A.11

4 1 Detail calculation Note 2 Stage 1 Stage 2 Stage 3 Stage 4 Stage 5 Stage 6 Stage 7 Stage 8 3 Mass flow, G Max. H per stage for parallel throws Last cylinder exhaust press. (bara) p Refference condition in 7 t this sheet is equal with 8 Q intake condition 9 Cyl. intake pressure, ps ' (bara) Suction temperat ure, ts ( C) Ts ( K) MW Rs = 8.314/MW p CR T CR p R = p RED = p / pcr #VALUE! #VALUE! #VALUE! #VALUE! 17 T R = T RED = T / T CR Z S MCp S (kj/kgmo l.k) k = MCp Cp S = R.k /(k-1), (k J /kg.k) DSs = 100.ps.R.Ts), (kg/m3) #VALUE! #VALUE! #VALUE! #VALUE! 23 Q S = G / DSs, ( m3/hr) #VALUE! #VALUE! #VALUE! #VALUE! 24 r' Discharge pressure, pd (bara) #VALUE! #VALUE! #VALUE! #VALUE! 26 Cylinder exh p #VALUE! #VALUE! #VALUE! #VALUE! Eq. A8 27 Clearance space vol ume, c (%) Volumetric efficiency, η V Eq. A4 29 Supply efficiency, λ/η V Eq. A5 30 Required pist on capacity, Qp ( m3) #VALUE! #VALUE! #VALUE! #VALUE! Eq. A7 31 Preliminary Piston speed (m/s) Stroke leng, ( ) No. of compression acting No. of throw st z Fill for D < Dmax 35 Crankshaft d, Piston speed, (m/s) Eq. 12, max. 6 m/s 3 37 Piston displacement vol./strok e, m #VALUE! #VALUE! #VALUE! #VALUE! 38 Piston di t ( ) #VALUE! #VALUE! #VALUE! #VALUE! Max.(mm)= Compression continue? Continue Continue Continue Finish GHP IS Eq Average Isothermal efficiency Total GHP (kw) Mechanical efficiency 0.94 Fig. A4 44 Total BHP (kw) 1180

5 Stroke length for low piston speed.

### RECIPROCATING COMPRESSOR CALCULATION SHEET

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v R = c v 2 v P = R v = v 3 v n P = n 3 v 1 v = n 1 n P 1 P = c 1 c P 1 P = n 1 c 1 n 3 c = v 1 v 3 3 3 c P P = c v 4.5 P = c v 4 P = c v 3.5 v 1 = 24 v 2 = 18 c 1 c 1 4.5 = v 1 c 2 v 4.5 2 = 244.5 = 3.65

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