Pipe Friction Loss Calculation
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THICKNESS OF INSULATION Room Temperature Heat transfer coefficient of air Heat transfer coefficient of insulation material Temperature of chilled water (surface of pipe) Dew point of room temperature
40.0 °C 8.0 kcal/m².h.°C 0.03 kcal/m².h.°C 7.0 °C 33.5 °C
d0 d1 Ln (d1/d0) θ0 θs θrd NPS Insulation (mm) (mm) thick. (mm) (mm) (mm) (°C) (°C) (°C) 20 27 25 77 1.048 7.0 37.63 33.5 25 33 25 83 0.922 7.0 37.51 33.5 32 42 30 102 0.887 7.0 37.87 33.5 50 60 30 120 0.693 7.0 37.69 33.5 65 73 40 153 0.740 7.0 38.27 33.5 80 89 40 169 0.641 7.0 38.20 33.5 100 114 40 194 0.532 7.0 38.11 33.5 125 139 40 219 0.455 7.0 38.05 33.5 150 168 40 248 0.389 7.0 37.99 33.5 200 219 40 299 0.311 7.0 37.92 33.5 250 273 40 353 0.257 7.0 37.87 33.5 300 324 40 404 0.221 7.0 37.84 33.5 350 356 40 436 0.203 7.0 37.82 33.5 400 406 40 486 0.180 7.0 37.80 33.5 450 457 40 537 0.161 7.0 37.78 33.5 500 508 40 588 0.146 7.0 37.76 33.5 550 559 40 639 0.134 7.0 37.75 33.5 600 610 50 710 0.152 7.0 38.19 33.5 650 660 50 760 0.141 7.0 38.18 33.5 700 711 50 811 0.132 7.0 38.17 33.5 750 762 50 862 0.123 7.0 38.17 33.5 800 813 50 913 0.116 7.0 38.16 33.5 850 864 50 964 0.110 7.0 38.16 33.5 900 914 50 1014 0.104 7.0 38.15 33.5 950 965 50 1065 0.099 7.0 38.15 33.5 1000 1016 50 1116 0.094 7.0 38.14 33.5 1100 1118 50 1218 0.086 7.0 38.14 33.5 1200 1219 50 1319 0.079 7.0 38.13 33.5 The condition of relative humidity & dew point is set by using the Psychrometric Chart.
Result No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation
Where ; α λ d0 d1 θ0 θr θs θrd t
Formula :
: : : : : : : : :
Heat transfer coefficient of air (normally = 8 kcal/m².h.°C) Heat transfer coefficient of insulation material (kcal/m.h.°C) Outside diameter of pipe (m) Outside diameter of insulation material (m) Temperature of chilled water (surface of pipe ) (°C) Temperature of room (surrounding) (°C) Temperature of surface insulation material (°C) Dew point of temperature (°C) Insulation thickness (m)
θs
=
θr
-
( θr
−
θο )
Pipe Insulation
d0 d1
Section
Type
Outside Diameter Same Flow Rate D1 D2 pipe thk. Q1 Q2 (mm) (mm) (mm) (m3/h) (m3/h)
From Thermal Storage Tank Chilled Water 100.0 45° S.E. 100.0 90° S.E. 100.0 Diversion Tee (M-B) 100.0
Sectional Area A1 A2 (m2) (m2)
Length Friction Velocity (m or Loss V1 V2 Qty.) (mmAq/m) (m/sec) (m/sec)
Dynamic Pressure (mmAq)
Coefficient of Resistance
Pressure loss (mmAq)
Remarks
100.0
5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0
20.0
0.0064 0.0064 0.0064 0.0064
0.0064
0.1 0.1 0.1 0.1
9.92 -
0.87 0.87 0.87 0.87
0.87
38.87 λ = 38.87 std. = 38.87 std. = 38.87 ζ 12 =
0.0230 0.1000 0.2460 1.2800
0.99 3.89 9.56 49.75 m = 1.00
Diversion Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.9600
37.31 m = 1.00
Diversion Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.5000
19.43 m = 1.00
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 21 = 1.0000
38.87
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 12 = 1.0000
38.87
Tee / w. Valve
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.0500
1.94
R.(convern.flow)
100.0
80.0
5.0
20.0
20.0
0.0064
0.0038
0.1
-
0.87
1.44
16.58 ζ 12 = 0.0000
0.00 Coeff. negligible
Flow Meter
80.0
-
5.0
20.0
-
0.0038
-
0.1
51.42
1.44
-
R (Divern.flow) B.F.V. Control Valve Control Valve Y-type Strainer Check Valve
80.0 100.0 100.0 100.0 100.0 100.0
100.0 -
5.0 5.0 5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0 20.0 40.0
20.0 -
0.0038 0.0064 0.0064
0.0064 -
-
1.44 0.87 0.87
0.87 -
-
0.0064 0.0064
-
0.1 0.1 0.1 0.1 0.1 0.1
-
1.75
-
-
106.21
λ = 0.0339
106.21 ζ 12 = 0.1014 38.87 std. = 0.2400 38.87 std. = 0.2400
155.48
K = 2.0000
5.14 10.78 ξ = 0.65 9.33 9.33 XCV 3,000.00 TCV 3,000.00 466.43 Swing Type
KV2 / 2g K Factor have to refer to catalog (2 to 4) Plus Safety Factor 50%
Section
Type
Outside Diameter Same Flow Rate D1 D2 pipe thk. Q1 Q2 (mm) (mm) (mm) (m3/h) (m3/h)
From Thermal Storage Tank Cooling Water 100.0 45° S.E. 100.0 90° S.E. 100.0 Diversion Tee (M-B) 100.0
Sectional Area A1 A2 (m2) (m2)
Length Friction Velocity (m or Loss V1 V2 Qty.) (mmAq/m) (m/sec) (m/sec)
Dynamic Pressure (mmAq)
Coefficient of Resistance
Pressure loss (mmAq)
Remarks
100.0
5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0
20.0
0.0064 0.0064 0.0064 0.0064
0.0064
0.1 0.1 0.1 0.1
13.69 -
0.87 0.87 0.87 0.87
0.87
38.87 λ = 38.87 std. = 38.87 std. = 38.87 ζ 12 =
0.0318 0.1000 0.2460 1.2800
1.37 3.89 9.56 49.75 m = 1.00
Diversion Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.9600
37.31 m = 1.00
Diversion Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.5000
19.43 m = 1.00
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 21 = 1.0000
38.87
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 12 = 1.0000
38.87
Tee / w. Valve
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.0500
1.94
R.(convern.flow)
100.0
80.0
5.0
20.0
20.0
0.0064
0.0038
0.1
-
0.87
1.44
16.58 ζ 12 = 0.0000
0.00 Coeff. negligible
Flow Meter
80.0
-
5.0
20.0
-
0.0038
-
0.1
51.22
1.44
-
R (Divern.flow) B.F.V. Control Valve Control Valve Y-type Strainer Check Valve
80.0 100.0 100.0 100.0 100.0 100.0
100.0 -
5.0 5.0 5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0 20.0 40.0
20.0 -
0.0038 0.0064 0.0064
0.0064 -
-
1.44 0.87 0.87
0.87 -
-
0.0064 0.0064
-
0.1 0.1 0.1 0.1 0.1 0.1
-
1.75
-
-
106.21
λ = 0.0339
106.21 ζ 12 = 0.1014 38.87 std. = 0.2400 38.87 std. = 0.2400
155.48
K = 2.0000
5.12 10.78 ξ = 0.65 9.33 9.33 XCV 3,000.00 TCV 3,000.00 466.43 Swing Type
KV2 / 2g K Factor have to refer to catalog (2 to 4) Plus Safety Factor 50%
40.0 °C 8.0 kcal/m².h.°C 0.03 kcal/m².h.°C 7.0 °C 33.5 °C
d0 d1 Ln (d1/d0) θ0 θs θrd NPS Insulation (mm) (mm) thick. (mm) (mm) (mm) (°C) (°C) (°C) 20 27 25 77 1.048 7.0 37.63 33.5 25 33 25 83 0.922 7.0 37.51 33.5 32 42 30 102 0.887 7.0 37.87 33.5 50 60 30 120 0.693 7.0 37.69 33.5 65 73 40 153 0.740 7.0 38.27 33.5 80 89 40 169 0.641 7.0 38.20 33.5 100 114 40 194 0.532 7.0 38.11 33.5 125 139 40 219 0.455 7.0 38.05 33.5 150 168 40 248 0.389 7.0 37.99 33.5 200 219 40 299 0.311 7.0 37.92 33.5 250 273 40 353 0.257 7.0 37.87 33.5 300 324 40 404 0.221 7.0 37.84 33.5 350 356 40 436 0.203 7.0 37.82 33.5 400 406 40 486 0.180 7.0 37.80 33.5 450 457 40 537 0.161 7.0 37.78 33.5 500 508 40 588 0.146 7.0 37.76 33.5 550 559 40 639 0.134 7.0 37.75 33.5 600 610 50 710 0.152 7.0 38.19 33.5 650 660 50 760 0.141 7.0 38.18 33.5 700 711 50 811 0.132 7.0 38.17 33.5 750 762 50 862 0.123 7.0 38.17 33.5 800 813 50 913 0.116 7.0 38.16 33.5 850 864 50 964 0.110 7.0 38.16 33.5 900 914 50 1014 0.104 7.0 38.15 33.5 950 965 50 1065 0.099 7.0 38.15 33.5 1000 1016 50 1116 0.094 7.0 38.14 33.5 1100 1118 50 1218 0.086 7.0 38.14 33.5 1200 1219 50 1319 0.079 7.0 38.13 33.5 The condition of relative humidity & dew point is set by using the Psychrometric Chart.
Result No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation No condensation
Where ; α λ d0 d1 θ0 θr θs θrd t
Formula :
: : : : : : : : :
Heat transfer coefficient of air (normally = 8 kcal/m².h.°C) Heat transfer coefficient of insulation material (kcal/m.h.°C) Outside diameter of pipe (m) Outside diameter of insulation material (m) Temperature of chilled water (surface of pipe ) (°C) Temperature of room (surrounding) (°C) Temperature of surface insulation material (°C) Dew point of temperature (°C) Insulation thickness (m)
θs
=
θr
-
( θr
−
θο )
Pipe Insulation
d0 d1
Section
Type
Outside Diameter Same Flow Rate D1 D2 pipe thk. Q1 Q2 (mm) (mm) (mm) (m3/h) (m3/h)
From Thermal Storage Tank Chilled Water 100.0 45° S.E. 100.0 90° S.E. 100.0 Diversion Tee (M-B) 100.0
Sectional Area A1 A2 (m2) (m2)
Length Friction Velocity (m or Loss V1 V2 Qty.) (mmAq/m) (m/sec) (m/sec)
Dynamic Pressure (mmAq)
Coefficient of Resistance
Pressure loss (mmAq)
Remarks
100.0
5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0
20.0
0.0064 0.0064 0.0064 0.0064
0.0064
0.1 0.1 0.1 0.1
9.92 -
0.87 0.87 0.87 0.87
0.87
38.87 λ = 38.87 std. = 38.87 std. = 38.87 ζ 12 =
0.0230 0.1000 0.2460 1.2800
0.99 3.89 9.56 49.75 m = 1.00
Diversion Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.9600
37.31 m = 1.00
Diversion Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.5000
19.43 m = 1.00
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 21 = 1.0000
38.87
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 12 = 1.0000
38.87
Tee / w. Valve
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.0500
1.94
R.(convern.flow)
100.0
80.0
5.0
20.0
20.0
0.0064
0.0038
0.1
-
0.87
1.44
16.58 ζ 12 = 0.0000
0.00 Coeff. negligible
Flow Meter
80.0
-
5.0
20.0
-
0.0038
-
0.1
51.42
1.44
-
R (Divern.flow) B.F.V. Control Valve Control Valve Y-type Strainer Check Valve
80.0 100.0 100.0 100.0 100.0 100.0
100.0 -
5.0 5.0 5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0 20.0 40.0
20.0 -
0.0038 0.0064 0.0064
0.0064 -
-
1.44 0.87 0.87
0.87 -
-
0.0064 0.0064
-
0.1 0.1 0.1 0.1 0.1 0.1
-
1.75
-
-
106.21
λ = 0.0339
106.21 ζ 12 = 0.1014 38.87 std. = 0.2400 38.87 std. = 0.2400
155.48
K = 2.0000
5.14 10.78 ξ = 0.65 9.33 9.33 XCV 3,000.00 TCV 3,000.00 466.43 Swing Type
KV2 / 2g K Factor have to refer to catalog (2 to 4) Plus Safety Factor 50%
Section
Type
Outside Diameter Same Flow Rate D1 D2 pipe thk. Q1 Q2 (mm) (mm) (mm) (m3/h) (m3/h)
From Thermal Storage Tank Cooling Water 100.0 45° S.E. 100.0 90° S.E. 100.0 Diversion Tee (M-B) 100.0
Sectional Area A1 A2 (m2) (m2)
Length Friction Velocity (m or Loss V1 V2 Qty.) (mmAq/m) (m/sec) (m/sec)
Dynamic Pressure (mmAq)
Coefficient of Resistance
Pressure loss (mmAq)
Remarks
100.0
5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0
20.0
0.0064 0.0064 0.0064 0.0064
0.0064
0.1 0.1 0.1 0.1
13.69 -
0.87 0.87 0.87 0.87
0.87
38.87 λ = 38.87 std. = 38.87 std. = 38.87 ζ 12 =
0.0318 0.1000 0.2460 1.2800
1.37 3.89 9.56 49.75 m = 1.00
Diversion Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.9600
37.31 m = 1.00
Diversion Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(B-M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 23 = 1.0600
41.20 m = 1.00
Convern.Tee(M)
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.5000
19.43 m = 1.00
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 21 = 1.0000
38.87
Tee / w. blind end
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 12 = 1.0000
38.87
Tee / w. Valve
100.0
100.0
5.0
20.0
20.0
0.0064
0.0064
0.1
-
0.87
0.87
38.87 ζ 13 = 0.0500
1.94
R.(convern.flow)
100.0
80.0
5.0
20.0
20.0
0.0064
0.0038
0.1
-
0.87
1.44
16.58 ζ 12 = 0.0000
0.00 Coeff. negligible
Flow Meter
80.0
-
5.0
20.0
-
0.0038
-
0.1
51.22
1.44
-
R (Divern.flow) B.F.V. Control Valve Control Valve Y-type Strainer Check Valve
80.0 100.0 100.0 100.0 100.0 100.0
100.0 -
5.0 5.0 5.0 5.0 5.0 5.0
20.0 20.0 20.0 20.0 20.0 40.0
20.0 -
0.0038 0.0064 0.0064
0.0064 -
-
1.44 0.87 0.87
0.87 -
-
0.0064 0.0064
-
0.1 0.1 0.1 0.1 0.1 0.1
-
1.75
-
-
106.21
λ = 0.0339
106.21 ζ 12 = 0.1014 38.87 std. = 0.2400 38.87 std. = 0.2400
155.48
K = 2.0000
5.12 10.78 ξ = 0.65 9.33 9.33 XCV 3,000.00 TCV 3,000.00 466.43 Swing Type
KV2 / 2g K Factor have to refer to catalog (2 to 4) Plus Safety Factor 50%
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