BOR Calculation (IMO TYPE C FUEL TANK)
API 650 Sherical Tank EN14620 ALLOWABLE STRESS SADDLE °è»ê¼­BOG °è»ê¼­BOG Each
API 620 °­µµ°è»êVolume Calculation Formulmya[PDF] Vessel Volume Calculator °æÆÇ °è»ê±â(ÀϺ») LNGFuelTank.html[³í¹® »çº»] LNGFuelTank[³í¹® ¿øº»] ÇÏÀ̸®¿ò ±è¼­¿µ ³í¹®ÀÚ·á

o Simple Result : Hemi-Spherical Head :
ÁÖÀÇ : ¾Æ·¡ IMO TYPE "C" TANK ÀÇ BOG °è»ê¼­´Â Á¤»ó»óÅ ¿­Àüµµ °è»ê (Ǫ¸®¿¡¹ýÄ¢ Fourier¡¯s law) ¿¡ ÀÇÇÑ ¿­Àüµµ(Thermal Conductance) °è»êÀ» ¼öÇà ÇÑ°ÍÀ¸·Î¼­
Æĵµ¿¡ ÀÇÇÑ ¹èÀÇ Sloshing Motion ½ÃÀÇ µ¿¾×¾Ð¿¡ ÀÇÇÑ ³»ºÎ ¿­¼Õ½ÇµîÀº °í·Á µÇÁö ¾Ê¾ÒÀ½À» Âü°íÇϽñ⠹ٶø´Ï´Ù.
¼øÇ×ÀûÀÎ ¹è¿¡¼­ ¿­¼Õ½Ç(Àü´Þ)°è»êÀÇ Áö¹è¹æÁ¤½ÄÀº ¿­Àüµµ(Fourier¡¯s law ¿¡ ÀÇÇÑ Thermal Conductance) °¡ Áö¹èÀû ÀÌ´Ù°í ÁÖ°üÀûÀ¸·Î ÆÇ´Ü µË´Ï´Ù
¹èÀÇ sloshing motion ¿¡ ÀÇÇÑ ¿­¼Õ½Ç Æò°¡ °è»êÀ» À§Çؼ­´Â À¯µ¿Çؼ®À» ÅëÇÏ¿© °á°ú¸¦ ¾ò´Â ¹æ¹ýÀÌ ÀÖ°Ú½À´Ï´Ù.
Boil-Off Rate (BOR)
The design daily BOR of LNG during laden voyage shall be less than 0.3 % of the full loaded LNG when assuming the following conditions:
  - Ambient air temperature ( ´ë±â¿Âµµ ) = +45¡É
  - Sea Water temperature ( Çؼö¿Âµµ ) = +32¡É
  - LNG considered as pure methane (density : 425 kg/m3, Vaporization heat : 511 kJ/kg)
++
mode =     kid =     °ßÀû¹øÈ£(10ÀÚ) ;     °ßÀû¸í ;     DESCRIPTION ;
Tank Information for BOR CalculateData Input   Ãâ·ÂÆùÆ® ¼³Á¤ :
µ¥ÀÌŸ º¹»ç / »èÁ¦ ¸Þ´ºCopy = [±âº» Data]        
NoDescriptionTank No=
ÅÊÅ© ±¸Á¶ÀÇ ¼±Á¤ (±¸Çü ¶Ç´Â ȾÇü)HeadType = Unit
Content name (³»¿ë¹°)CONTENTS =
1Fuel Tank Inside DiameterDi =mm
2Straight Cylinder Length ( T.L to T.L)Lc =mm
3Insulation Thicknesst =mm
4Contents(LNG) TemperatureTi =¡É
5Outer Tank Surface TemperatureTo =¡É
6SPARE (»ç¿ë¾ÈÇÔ)SPARE =
7Temperature difference ¡âT =To-Ti¡âT =¡É
8[Design Data] Nominal Capacity (°øĪ¿ë·®)Vnom =
[311.3]
[528.16]
[528.16]
[528.16]
[528.16]
m©ø
9[Design Data] Net Storage Capacity (Vnom * %)V =
[280.17]
[475.344]
[475.344]
[475.344]
[475.344]
m©ø
10PolyUrethane Foam (PUF)
Thermal conductivity (¿­Àüµµµµ)
k =W/m¡¤¡É
11Density of Insulation material (º¸³ÃÀç ¹Ðµµ)¥ñInsu =kg / m
12Latent heat of vaporization of LNG(Áõ¹ßÀá¿­) by P.O.Sh =KJ/kg
13Density of LNG (by P.O.S)¥ñ =kg/m©ø
14Content Weight of LNG (ÃÑÁú·®), F = V * ¥ñF =kg
15(POS) Boil Off Rate per DayBOR(POS)=%/day
16(Calculate) Boil Off Rate per Day
BOR(day) = 24 * 3600 * 100 * Q / (h * F)
BOR(day)=01234%/day
17Acceptable BOR Check
Calcute BOR(day) < BOR(POS)
Check =01234
18Volume of Insulation material (º¸³ÃÀç üÀû)Vinsu =01234m©ø
19Insulation material Weight (º¸³ÃÀç Áß·®)
Winsu = Vinsu * ¥ñInsu
Winsu =01234kg
20Max. Allowable Relief Valve Setting PressureMARVS =bar.g
21MLI Áø°ø¾Ð·Â¿¡ µû¸¥ MLI Á¦Ç°º° ¿­ÀüµµÀ²q =MLI Áø°ø¾Ð·Â¿¡ µû¸¥ MLI Á¦Ç°º° ¿­ÀüµµÀ², Thermal Conductivity = Ke (W/(m¡¤¡É))
21MLI ¹æ»çÀ²(Emissivity) / Áø°ø¾Ð·Â ÀÔ·Â CVP =milliTorr
21 MLI ¿­Àüµµµµ °è»êÁ¶°Ç :
MLI Reflector (Aluminium Foil) ÀÇ ¹æ»çÀ² :
 
Emissivity (¥å= 0.01~0.05) ¥å =  
Âü°í : ¹æ»çÀ²Àº ¹°Ã¼°¡ Àû¿Ü¼± ¿¡³ÊÁö¸¦ ¹æÃâÇÏ´Â ´É·ÂÀ» ÃøÁ¤ÇÑ °Í ÀÔ´Ï´Ù . ¹æÃâµÈ ¿¡³ÊÁö´Â ¹°Ã¼ÀÇ ¿Âµµ¸¦ ³ªÅ¸³À´Ï´Ù. ¹æ»çÀ²Àº 0(¹Ý¦ÀÌ´Â °Å¿ï)ºÎÅÍ 1.0(Èæü)±îÁöÀÇ °ªÀ» °¡Áú ¼ö ÀÖ½À´Ï´Ù. ´ëºÎºÐÀÇ À¯±â¹°, ÆäÀÎƮĥ ¶Ç´Â »êÈ­µÈ Ç¥¸éÀÇ ¹æ»çÀ² °ªÀº 0.95¿¡ °¡±õ½À´Ï´Ù.
MLI Á¾·ù
Ke.fabric =
Ke.MLI40 =
Ke.foil =
Ke.FG =
Ke.GB =
Ke.MLInet =
W/(m¡¤¡É)
0.00018
0.00007
0.00006
0.00196
0.00068
0.00003
W/(m¡¤¡É)
0.00028
0.00012
0.00007
0.00204
0.00069
0.00008
W/(m¡¤¡É)
0.00087
0.00049
0.00017
0.00277
0.00080
0.00047
W/(m¡¤¡É)
0.00454
0.00272
0.00109
0.00740
0.00177
0.00317
W/(m¡¤¡É)
0.01035
0.00935
0.00638
0.01445
0.00762
0.00818
mW/(m¡¤¡É)
 
̵̧
̵̧

21Heat Flux °è»ê °á°ú (³í¹® Equation)q =MLI ÀϹÝÁ¦Ç° ´ÜÀ§¸éÀû´ç ¿­¼Õ½Ç °è»ê °á°ú (³í¹®¿¡ ÀÇ°Å), Heat Flux = q (W/m2)
22N01 - Foil & Paper (60, 2.5, 26.6)
N02 - Foil & Paper (60, 3.6, -)
N03 - Foil & Paper (80, 3.8, -)
(³í¹®) Unperforated DAM with Silk-net
(³í¹®) Perforated DAM with Glass-tissue
(³í¹®) Perforated DAM with Dacron
HeatFlex q =0.374
0.837
0.72
0.305
0.398
0.313
0.414
0.897
0.768
0.354
0.463
0.304
0.414
0.897
0.768
0.354
0.463
0.304
0.414
0.897
0.768
0.354
0.463
0.304
0.41402
0.89702
0.76802
0.35403
0.46303
0.30403
W/m2
23 ÀÚµ¿ ¾÷µ¥ÀÌÆ® µ¥ÀÌŸ = ¾×ü¿Âµµ(3=Ti) ¿£Å»ÇÇ(11=h), ¾×ü¹Ðµµ(12=p) [ASHRAE µ¥ÀÌŸ ÀÚµ¿ ¾÷µ¥ÀÌÆ®] CALC! [BOG °è»ê ½ÇÇà]

1. Simple Report of BOG Calculation[SI + Metric] [SI Only] [Metric Only]
No.DescriptionTNO =TK-001 TK-002 TK-003 TK-004 TK-005UnitRemarkNo.
Tank Head TypeType =Ell-HeadEll-HeadEll-HeadEll-HeadDish-HeadUnitRemarkNo.
Liquid NameContents =LH2LNGLNGLNGLNGUnitRemarkNo.
1Fuel Tank Inside DiameterDi =430060007000800010000mmÀÔ·Â6
2Straight Cylinder Length ( T.L to T.L)Lc =2000014680146801468014680mmÀÔ·Â7
3PolyUrethane Foam (PUF) Insulation Thicknesst =500.0400.0400.0300.0300.0mmµ¿¼ºÈ­ÀÎÅØ17
4Contents(LNG) TemperatureTi =-252.87-163-163-163-163¡ÉÀÔ·Â13
5Outer Surface TemperatureTo =2045454545¡ÉÀÔ·Â14
6Temperature difference ¡âT =To-Ti¡âT =272.87208208208208¡É15
7PolyUrethane Foam (PUF)
Thermal conductivity (¿­Àüµµµµ)
k =0.00230.0230.0230.0230.023W/m¡¤¡ÉSI18
8Storage Ratio = V / Vnom 100Ratio =90.090.090.090.090.0%ÀÔ·Â22
9Total Heat Leak(¹æ»ê¿­·®)
Q = ¡âT / R or Q = Us¡âTA
Q =439.424584.655494.628480.7611043.79WSI34
10Heat Flex(¿­À¯¼Ó) q = Q / A OR q =Us¡âTq =1.255211.9611.9615.946715.9467W / m©÷SI36
11Latent heat of vaporization(Áõ¹ßÀá¿­) by P.O.Sh =443.9511.0511.0511.0511.0KJ / kgSI28
12[Design Data] Nominal Capacity (°øĪ¿ë·®)Vnom =311.26471.62654.75871.941350.9m©ø20
13[Design Data] Net Storage Capacity (90%)V =280.13424.45589.27784.741215.81m©øÀÔ·Â21
14Density of LNG (by P.O.S)¥ñ =71.67425.0425.0425.0425.0kg / m©øÀÔ·Â23
15Content Weight of LNG (ÃÑÁú·®), F = V ¥ñF =20077180393250442333517516718kg49
16(POS) Boil Off Rate per DayBOR(POS)=0.450.40.40.40.4%/day50
17(Calculate) Boil Off Rate per Day
BOR(day) = 243600100 Q / (h F)
BOR(day)=0.4260.42970.3710.42990.3614%/day51
18Check, Calcute BOR(day) < BOR(POS) CHECK =OK.NG!OK.NG!OK.52
19Max. Allowable Relief Valve Setting PressureMARVS =4.04.04.04.04.0bar.gÀÔ·Â24
20Rated Holding Time (Á¤°ÝÀ¯Áö½Ã°£)RHT =40 days38 days44 days38 days45 daysdays55
21Volume of Insulation material (º¸³ÃÀç üÀû)Vinsu =207.93226.15295.19313.83568.19m©ø61
22Insulation material Weight (º¸³ÃÀç Áß·®)
Winsu = Vinsu ¥ñInsu
Winsu =9.3579.04611.80812.55322.728ton63
2. Detail Report of BOG Calculation[SI + Metric] [SI Only] [Metric Only]
No.DescriptionTNO =TK-001 TK-002 TK-003 TK-004 TK-005UnitRemarkNo.
Tank Head TypeType =Ell-HeadEll-HeadEll-HeadEll-HeadDish-HeadUnitRemarkNo.
Liquid NameContents =LH2LNGLNGLNGLNGUnitRemarkNo.
1Fuel Tank Inside DiameterDi =430060007000800010000mmÀÔ·Â6
2Straight Cylinder Length ( T.L to T.L)Lc =2000014680146801468014680mmÀÔ·Â7
3Outside diameter after insulationDo =530068007800860010600mm8
4Inner Radius Ri =21503000350040005000mm9
5Outer Radius after insulationRo =26503400390043005300mm10
6Logarithmic mean radius (´ë¼öÆò±Õ¹Ý°æ)
Rm = (Ro-Ri) / LN(Ro/Ri)
Rm =2391.33195.83696.44148.25148.5mm11
7Surface Area by mean radius
A = ¥ð[4Rm©÷ + (2RmLc)] / 1000©÷
A =350.08383.33459.42531.82692.55m©÷12
8Contents(LNG) TemperatureTi =-252.87-163-163-163-163¡ÉÀÔ·Â13
9Outer Surface TemperatureTo =2045454545¡ÉÀÔ·Â14
10Temperature difference ¡âT =To-Ti¡âT =272.87208208208208¡É15
11SPARE (»ç¿ë¾ÈÇÔ)Spare =204545454516
12PolyUrethane Foam (PUF) Insulation Thicknesst =500.0400.0400.0300.0300.0mmµ¿¼ºÈ­ÀÎÅØ17
13PolyUrethane Foam (PUF)
Thermal conductivity (¿­Àüµµµµ)
k =0.00230.0230.0230.0230.023W/m¡¤¡ÉSI18
14 k =0.001980.019790.019790.019790.01979kcal/hr¡¤m¡¤¡ÉMetric19
15[Design Data] Nominal Capacity (°øĪ¿ë·®)Vnom =311.26471.62654.75871.941350.9m©ø20
16[Design Data] Net Storage Capacity (90%)V =280.13424.45589.27784.741215.81m©øÀÔ·Â21
17Storage Ratio = V / Vnom 100Ratio =90.090.090.090.090.0%ÀÔ·Â22
18Density of LNG (by P.O.S)¥ñ =71.67425.0425.0425.0425.0kg / m©øÀÔ·Â23
19Max. Allowable Relief Valve Setting PressureMARVS =4.04.04.04.04.0bar.gÀÔ·Â24
20Latent heat of vaporization(Áõ¹ßÀá¿­) by P.O.Sh =443.9511.0511.0511.0511.0KJ / kgSI28
21 h_metric =106.02122.05122.05122.05122.05kcal / kgMetric29
22Thermal Resistance (¿­ÀúÇ×) R = 1/Us = t / (k A)R =0.6210.04540.03790.02450.0188m©÷¡¤K/WSI30
23 R_metric =0.72170.05270.0440.02850.0219h¡¤¡É / KcalMetric31
24Overall heat transfer coefficient, Us= 1/(t/k)
(ÃÑ°ý ¿­Àü´Þ °è¼ö)
Us =0.00460.05750.05750.07670.0767W / m©÷¡¤KSI32
25Overall heat transfer coefficient, Us 1/(t/k)
(ÃÑ°ý ¿­Àü´Þ °è¼ö)
Us =0.0040.04950.04950.0660.066kcal/hr¡¤m©÷¡¤¡ÉMetric33
26Total Heat Leak(¹æ»ê¿­·®)
Q = ¡âT / R or Q = Us¡âTA
Q =439.424584.655494.628480.7611043.79WSI34
27 Q_metric =378.093944.734727.697297.029502.31kcal / hrMetric35
28Heat Flex(¿­À¯¼Ó) q = Q / A OR q =Us¡âTq =1.255211.9611.9615.946715.9467W / m©÷SI36
29 q_metric =1.0810.290610.290613.720813.7208kcal / hr¡¤m©÷Metric37
30Heat Leak Weight per one hour
(½Ã°£´ç ¿­¼Õ½ÇÁß·®), Wt = 3600 Q / h
Wt =3.566132.320538.735659.78777.8557kg / hr42
31Density of LNG (by P.O.S)¥ñ =71.67425.0425.0425.0425.0kg / m©ø43
32BOR per 24hr = Wt 24 hrs / (V p) 100BOR(day) =0.42630.430.37120.43020.3616wt% of 24 hours44
33[Design Data] Net Storage Capacity (90%)V =280.13424.45589.27784.741215.81m©ø45
34Surface Area by mean radius
A = ¥ð[4Rm©÷ + (2RmLc)] / 1000©÷
A =350.08383.33459.42531.82692.55m©÷46
35Total Heat Leak(¹æ»ê¿­·®)
Q = ¡âT / R or Q = Us¡âTA
Q =439.424584.655494.628480.7611043.79W47
36Latent heat of vaporization(Áõ¹ßÀá¿­)h =443900511000511000511000511000J / kg48
37Content Weight of LNG (ÃÑÁú·®), F = V ¥ñF =20077180393250442333517516718kg49
38(POS) Boil Off Rate per DayBOR(POS)=0.450.40.40.40.4%/day50
39(Calculate) Boil Off Rate per Day
BOR(day) = 243600100 Q / (h F)
BOR(day)=0.4260.42970.3710.42990.3614%/day51
40Check, Calcute BOR(day) < BOR(POS) CHECK =OK.NG!OK.NG!OK.52
41Leakage Weight per Day, W_loss = F BOR / 100W_loss =85.53775.17929.031433.931867.29kg/day53
42Leakage Volume per Day, V_loss = W_loss / ¥ñV_loss=1.19341.82392.1863.37394.3936m©ø/day54
43Rated Holding Time (Á¤°ÝÀ¯Áö½Ã°£)RHT =40 days38 days44 days38 days45 daysdays55
44LNG Net Storage Capacity (90%)V =280.13424.45589.27784.741215.81m©ø59
45LNG Liquid Weight (¾×ü Áß·®) wContent = F / 1000wContent =20.077180.393250.442333.517516.718ton60
46Volume of Insulation material (º¸³ÃÀç üÀû)Vinsu =207.93226.15295.19313.83568.19m©ø61
47Density of Insulation material (º¸³ÃÀç ¹Ðµµ)¥ñInsu =45.040.040.040.040.0kg/m©ø62
48Insulation material Weight (º¸³ÃÀç Áß·®)
Winsu = Vinsu ¥ñInsu
Winsu =9.3579.04611.80812.55322.728ton63
49Coefficient of thermal expansion of steel plate
¥á = 1.15¡¿10-5 [/¡É]
¥á =1.53E-51.53E-51.53E-51.53E-51.53E-564
50(at Operating ¼öÃàÈÄ) Cold Diameter,
Dcold = Di ¡¿ [1 - ¥á¡¿¡âT]
Dcold =4286.5
(-13.5)
5985.6
(-14.4)
6983.3
(-16.7)
7980.9
(-19.1)
9976.1
(-23.9)
mm65
51(at Operating ¼öÃàÈÄ) Cold Length,
Lcold = Lc ¡¿ [1 - ¥á¡¿¡âT]
Hcold =19937.0
(-63.0)
14645.0
(-35.0)
14645.0
(-35.0)
14645.0
(-35.0)
14645.0
(-35.0)
mm66
52(°øĪ¿ë·® - ¼öÃà°í·Á) Nominal Capacity
Vnom_cold = ¥ð ¡¿ Dcold2 / 4 ¡¿ Lcold
Vnom_cold =308.33468.23650.08865.711341.24m©ø67
53(ÀúÀå¿ë·® - ¼öÃà°í·Á) Storage Capacity Vnet_cold =277.5421.41585.07779.141207.12m©ø68

Product Linear Temperature Expansion Coefficient - ¥á - (10-6 m/(m ¡É)) [ASME SEC. II Part D Table TE-1] Google
Carbon Steel : 10.8 ~ 12.5 × 10-6 (mm/mm/¡É)
Steel Stainless Austenitic (304) : 17.3 × 10-6 (mm/mm/¡É)
Steel Stainless Austenitic (310) : 14.4 × 10-6 (mm/mm/¡É)
Steel Stainless Austenitic (316) : 15.3 × 10-6 (mm/mm/¡É)

1. Tank No : [TK-001]¡¡¡¡ Head Type : [Ell-Head]¡¡¡¡ Content : [LH2]
3. Rated Holding Time Calculation (Á¤°ÝÀ¯Áö½Ã°£ Holding Time ÀÇ °è»ê)
01234567891011121314151617
#.Temp.
¡É
absolute
Pressure
(kPa)
Density
kg/m©ø
Liquid
Volume
m©ø/kg
Vapor
Enthalpy
kJ/(kg¡¤K)
Liquid
Enthalpy
kJ/(kg¡¤K)
Vapor
Entropy
kJ/(kg¡¤K)
Liquid
Entropy
kJ/(kg¡¤K)
Vapor
Specific Heat cp,
kJ/(kg¡¤K)
Liquid
Specific Heat cp,
kJ/(kg¡¤K)
Vapor
cp /cv
kJ/(kg¡¤K)
Vapor
Velocity of Sound
m/s
Liquid
Velocity of Sound
m/s
Vapor
Viscosity, of Sound
¥ìPa¡¤s
Liquid
Viscosity, of Sound
¥ìPa¡¤s
Vapor
Thermal Cond.,
mW/(m¡¤K)
Liquid
Thermal Cond.,
mW/(m¡¤K)
Vapor
Surface Tension,
mN/m
-252.87101.3270.80.74656-254.4189.58.00929.969.6612.231.8531099354.113.31.07103.417.011.913
Goal-252.87101.3270.80.7466-254.4189.58.00929.969.6612.231.8531099354.113.31.07103.417.011.91RHT TEST START TEMPERATURE
(AFTER INITIAL FILLING.)
-252.65108.1870.540.70371-252.2190.88.11429.7769.8112.331.8641091355.313.11.09103.717.251.873
RHT : Rated Holding Time 49 CFR ¡× 178.338-9 - Holding time. - Legal Information Institute
Tank ³» ¿Âµµ ¹× ¾Ð·ÂÀÌ ÃæºÐÈ÷ ¾ÈÁ¤È­ µÈ ½ÃÁ¡ ºÎÅÍ Counting ½ÃÀÛ Á¶°Ç (When, LNG Temperature : -161.48 ¡É, Pressure : 101.33 kPa)

4. ASHRAE METHANE(CH4) Property [SI UNIT]
#.01234567891011121314151617
#.¿ÂµµÀý´ë
¾Ð·Â
Liquid
¹Ðµµ
Vapor
ºñüÀû
Liquid
¿£Å»ÇÇ
Vapor
¿£Å»ÇÇ
Liquid
¿£Æ®·ÎÇÇ
Vapor
¿£Æ®·ÎÇÇ
Liquid
ºñ¿­
Vapor
ºñ¿­
cp /cvLiquid
À½¼Ó
Vapor
À½¼Ó
Liquid
Á¡µµ
Vapor
Á¡µµ
Liquid
¿­Àüµµµµ
Vapor
¿­Àüµµµµ
Ç¥¸éÀå·Â
#.Temp.
¡É
absolute
Pressure
(kPa)
Density
kg/m©ø
Liquid
Volume
m©ø/kg
Vapor
Enthalpy
kJ/(kg¡¤K)
Liquid
Enthalpy
kJ/(kg¡¤K)
Vapor
Entropy
kJ/(kg¡¤K)
Liquid
Entropy
kJ/(kg¡¤K)
Vapor
Specific Heat cp,
kJ/(kg¡¤K)
Liquid
Specific Heat cp,
kJ/(kg¡¤K)
Vapor
cp /cv
kJ/(kg¡¤K)
Vapor
Velocity of Sound
m/s
Liquid
Velocity of Sound
m/s
Vapor
Viscosity, of Sound
¥ìPa¡¤s
Liquid
Viscosity, of Sound
¥ìPa¡¤s
Vapor
Thermal Cond.,
mW/(m¡¤K)
Liquid
Thermal Cond.,
mW/(m¡¤K)
Vapor
Surface Tension,
mN/m
-259.357.0577.047.8437-307.2140.14.9837.4287.7210.681.691373305260.6575.310.463.124
-259.157.9076.877.1198-305.7141.95.08837.1157.5310.71.692136430725.30.6776.910.653.086
-258.1513.4376.014.492-298.3150.95.58835.6287.1310.841.7041316316.422.20.7484.111.622.894
-257.1521.5275.122.964-291.1159.56.05134.2957.311.011.721269325.119.80.819012.62.705
-256.1532.8474.192.0392-283.5167.56.50433.1077.7211.221.741122433317.80.8794.713.592.516
-255.1548.0773.221.4541-275.41756.95832.0428.2611.461.7671183340.316.20.9498.314.62.33
-254.1567.9672.191.0683-266.6181.87.41631.0778.8511.761.81145346.814.81101.115.642.146
-253.1593.2671.110.80448-257.21887.8830.1939.4812.121.841109352.613.61.0610316.711.963
-252.87101.3270.80.74656-254.4189.58.00929.969.6612.231.8531099354.113.31.07103.417.011.913
Goal-252.87101.3270.80.7466-254.4189.58.00929.969.6612.231.8531099354.113.31.07103.417.011.91RHT TEST START POINT (AFTER INITIAL FILLING.)
Äð´Ù¿îÈÄ ³»ºÎ¾×ü ¾ÈÁ¤È­ÈÄ, Ȧµù ŸÀÓ Ã¼Å© ½ÃÀÛ POINT
-252.15124.7469.960.61847-247.1193.38.3529.37310.1512.561.891073357.812.61.12104.217.821.783
-251.65143.0569.350.54589-241.7195.78.58928.98310.5112.811.921055360.212.11.15104.718.391.693
-251.15163.2068.730.48372-236.2197.88.82928.60410.8713.091.9521036362.311.61.18104.918.981.605
-250.65185.2968.080.43016-230.5199.79.07128.23511.2613.391.9891018364.311.21.2110519.591.517
-250.15209.4267.420.38378-224.6201.39.31527.87511.6713.742.03999366.210.81.2510520.211.429
-249.65235.7066.720.3434-218.5202.69.56227.52112.114.122.075979367.910.41.28104.920.861.342
-249.15264.23660.30808-212.1203.69.81127.17412.5614.562.127959369.410.11.32104.721.531.256
-248.65295.1165.250.27705-205.5204.410.06426.83213.0615.042.185939370.89.71.35104.322.231.171
-248.15328.4564.470.24966-198.7204.710.3226.49213.6115.62.251918372.19.41.39103.822.951.086
-247.15402.9162.80.20378-184.2204.410.84325.8214.8716.962.414873374.18.71.46102.624.510.92
-246.15488.4960.970.16716-168.4202.311.38525.14516.4718.812.635825375.58.11.54100.926.250.757
-245.15586.1058.930.13744-151.2198.111.95424.45418.6121.442.948773376.37.51.6398.728.230.599
-244.15696.7356.60.11286-132191.312.5623.72721.725.453.426716376.46.91.749630.570.445
-243.15821.4353.860.09208-110.2180.613.22322.93326.7332.314.238653375.96.41.8692.633.450.299
-242.15961.4950.480.07387-84.4164.113.98122.01136.6846.585.916582374.85.82.0488.337.310.161
-241.151118.5045.810.05667-51135.814.93820.78866.6793.311.357501373.25.12.3582.343.380.038
-240.211283.8031.360.0318940.340.317.61517.6150000000000

5. Rated Holding Time Calculation (¾ÈÀü¹ëºê°¡ Auto Open µÉ¶§±îÁö °É¸®´Â ½Ã°£(Day) ÀÇ °è»ê)
Max. Allowable Relief Valve Setting Pressure MARVS = 4.0 (bar.g)
¡âH = Q 3600 24 / ( LiqDensity Vtank 1000) (kJ/kg) : 1ÀÏ°£ ¹ß»ýµÇ´Â BOG ¿¡ ÀÇÇÑ º¯È­µÈ ¿£Å»ÇÇ
Count01234567891011
Days¿ÂµµÀý´ë
¾Ð·Â
¾×¹ÐµµÁõ¹ßÀá¿­¹æ»ê¿­·®¿£Å»ÇÇÂ÷ÀÌ¿£Å»ÇÇ
Liquid
¿£Å»ÇÇ
Vapor
ÀúÀå¿ë·®
º¯È­
Àý´ë
¾Ð·Â
¾×Áß·®Days
Holding
Time
(days)
Temp.
(¡É)
Absolute
Pressure
(kPa.a)
Liquid
Density
(kg/m©ø)
Latent
Heat
(kJ/kg)
Q
(W)
¡âH
(kJ/kg)
hLiquid
(kJ/kg)
hVap
(kJ/kg)
Vtank
(m©ø)
Absolute
Pressure
(bar.a)
Contents
Weight
(kg)
Time
(days)
0-252.87101.3270.800443.900439.4221.891-254.400189.500283.5721.013200770RHT TEST START DAY (AFTER INITIAL FILLING.)
Äð´Ù¿îÈÄ ³»ºÎ¾×ü ¾ÈÁ¤È­ÈÄ, ȦµùŸÀÓ Ã¼Å© ½ÃÀÛÀÏ
1-252.68107.2270.576443.129439.1181.884-252.509190.620284.4731.072200771
2-252.50113.3070.355442.218438.8191.877-250.625191.593285.3671.133200772
3-252.31119.4070.141441.261438.5231.870-248.749192.513286.2351.194200773
4-252.13125.4969.934440.281438.2301.863-246.879193.402287.0841.255200774
5-251.96131.8369.718439.264437.9511.856-245.016194.248287.9741.318200775
6-251.78138.1269.509438.229437.6751.849-243.160195.069288.8381.381200776
7-251.61144.4869.304437.165437.4001.843-241.311195.853289.6921.445200777
8-251.45151.2569.092436.039437.1301.836-239.469196.570290.5841.512200778
9-251.28157.9768.886434.900436.8621.829-237.633197.267291.4501.580200779
10-251.12164.7468.683433.740436.5961.823-235.804197.936292.3131.6472007710
11-250.95171.8368.470432.536436.3381.816-233.981198.555293.2211.7182007711
12-250.80178.8668.264431.323436.0821.809-232.165199.158294.1061.7892007712
13-250.64185.8868.063430.096435.8271.803-230.356199.740294.9741.8592007713
14-250.48193.2967.856428.793435.5801.797-228.552200.240295.8751.9332007714
15-250.33200.6467.655427.484435.3351.790-226.756200.728296.7552.0062007715
16-250.18207.9367.459426.170435.0921.784-224.966201.204297.6152.0792007716
17-250.03215.5667.252424.792434.8541.778-223.182201.610298.5322.1562007717
18-249.89223.2367.046423.396434.6191.771-221.404201.992299.4492.2322007718
19-249.74230.8466.846421.998434.3861.765-219.633202.365300.3472.3082007719
20-249.60238.5466.646420.570434.1571.759-217.868202.702301.2462.3852007720
21-249.46246.4166.444419.090433.9351.753-216.109202.981302.1622.4642007721
22-249.33254.2266.247417.611433.7141.746-214.357203.255303.0602.5422007722
23-249.19261.9766.055416.133433.4961.741-212.610203.523303.9412.6202007723
24-249.06270.0265.856414.623433.2811.734-210.870203.753304.8622.7002007724
25-248.92278.1665.656413.101433.0691.728-209.135203.966305.7902.7822007725
26-248.79286.2365.461411.581432.8581.722-207.407204.174306.7022.8622007726
27-248.66294.2565.270410.063432.6491.716-205.685204.378307.5972.9432007727
28-248.54302.6665.069408.438432.4441.710-203.968204.469308.5483.0272007728
29-248.41311.0764.871406.803432.2411.704-202.258204.545309.4923.1112007729
30-248.29319.4164.677405.174432.0401.698-200.554204.620310.4193.1942007730
31-248.16327.7064.487403.548431.8401.693-198.855204.693311.3323.2772007731
32-248.04336.4664.280401.829431.6481.687-197.162204.666312.3333.3652007732
33-247.92345.2264.076400.106431.4591.680-195.476204.630313.3293.4522007733
34-247.81353.9163.876398.390431.2711.674-193.795204.594314.3103.5392007734
35-247.69362.5463.680396.680431.0841.669-192.121204.559315.2763.6252007735
36-247.58371.1063.489394.977430.8991.663-190.452204.525316.2273.7112007736
37-247.46379.6163.301393.280430.7151.657-188.790204.491317.1633.7962007737
38-247.35388.0563.118391.590430.5321.652-187.132204.458318.0873.8802007738
39-247.24396.4362.938389.906430.3511.646-185.481204.425318.9973.9642007739
40-247.13404.9362.754388.182430.1731.641-183.834204.348319.9284.0492007740P > MARVS : 4 bar.g
Pressure Relief Valve Automatic Open
40ÀÏ ÈÄ¿¡´Â ¾×¹Ðµµ°¡ OO ÀÛ¾ÆÁö°í, Liquid Level OOO mm ³·¾ÆÁü ¿¹»ó
41-247.02413.9562.552386.311430.0031.635-182.193204.117320.9654.1402007741
42-246.92422.9162.353384.449429.8351.629-180.558203.891321.9884.2292007742
43-246.81431.8162.158382.598429.6671.623-178.929203.668322.9974.3182007743
44-246.71440.6361.967380.755429.5011.618-177.306203.449323.9924.4062007744
45-246.61449.4061.780378.923429.3361.612-175.688203.234324.9754.4942007745
46-246.51458.1061.596377.099429.1721.607-174.076203.023325.9454.5812007746
47-246.40466.7461.415375.284429.0101.602-172.469202.815326.9044.6672007747
48-246.30475.3261.238373.478428.8481.596-170.868202.610327.8504.7532007748
49-246.20483.8561.064371.680428.6881.591-169.271202.409328.7854.8382007749
50-246.11492.6560.878369.792428.5321.586-167.680202.112329.7884.9272007750
51-246.01501.8060.678367.797428.3811.580-166.095201.702330.8765.0182007751
52-245.92510.8860.481365.814428.2311.574-164.515201.299331.9525.1092007752
53-245.83519.8960.288363.843428.0831.569-162.940200.903333.0155.1992007753
54-245.74528.8460.099361.884427.9351.563-161.372200.513334.0665.2882007754
55-245.65537.7259.912359.938427.7881.558-159.808200.129335.1055.3772007755
56-245.56546.5459.729358.002427.6431.553-158.250199.752336.1335.4652007756
57-245.47555.3159.549356.078427.4981.547-156.698199.380337.1505.5532007757
58-245.38564.0159.372354.165427.3551.542-155.151199.014338.1565.6402007758
59-245.29572.6659.198352.262427.2121.537-153.608198.654339.1515.7272007759
60-245.20581.2559.026350.370427.0701.532-152.071198.299340.1365.8122007760
61-245.11589.9958.843348.387426.9341.527-150.539197.848341.1925.9002007761
62-245.03598.9658.645346.283426.8031.521-149.012197.271342.3455.9902007762
63-244.95607.8658.450344.194426.6741.516-147.490196.703343.4866.0792007763
64-244.87616.6958.259342.119426.5451.510-145.975196.145344.6166.1672007764
65-244.79625.4758.070340.059426.4171.505-144.464195.595345.7356.2552007765
66-244.72634.1857.885338.013426.2901.500-142.959195.054346.8436.3422007766
67-244.64642.8357.702335.980426.1641.495-141.459194.521347.9416.4282007767
68-244.56651.4257.522333.961426.0391.490-139.964193.996349.0286.5142007768
69-244.48659.9657.345331.954425.9151.485-138.475193.479350.1056.6002007769
70-244.41668.4457.171329.960425.7921.480-136.990192.970351.1736.6842007770
71-244.33676.8656.999327.979425.6691.475-135.511192.468352.2306.7692007771
72-244.25685.2256.830326.010425.5471.470-134.036191.974353.2786.8522007772
73-244.18693.5456.664324.052425.4261.465-132.566191.486354.3176.9352007773
74-244.11702.0056.477321.920425.3121.460-131.101190.820355.4857.0202007774
75-244.04710.5356.280319.688425.2021.455-129.641190.048356.7307.1052007775
76-243.97719.0056.086317.474425.0921.449-128.186189.288357.9647.1902007776
77-243.90727.4155.895315.277424.9841.444-126.737188.540359.1887.2742007777
78-243.84735.7755.707313.097424.8761.439-125.293187.804360.4027.3582007778
79-243.77744.0655.522310.933424.7691.434-123.854187.079361.6057.4412007779
80-243.70752.2955.339308.786424.6621.428-122.421186.365362.7997.5232007780
81-243.64760.4755.159306.655424.5571.423-120.992185.662363.9837.6052007781
82-243.57768.6054.981304.539424.4521.418-119.569184.970365.1587.6862007782
83-243.51776.6754.807302.438424.3481.414-118.150184.287366.3237.7672007783
84-243.44784.6854.634300.352424.2441.409-116.737183.615367.4797.8472007784
85-243.38792.6554.464298.280424.1411.404-115.328182.952368.6267.9262007785
86-243.32800.5654.296296.223424.0391.399-113.924182.299369.7658.0062007786
87-243.25808.4254.131294.179423.9371.395-112.524181.655370.8958.0842007787
88-243.19816.2453.968292.149423.8371.390-111.129181.019372.0168.1622007788
89-243.13824.0153.794290.011423.7401.386-109.739180.272373.2208.2402007789
90-243.08831.7453.596287.646423.6511.380-108.354179.292374.5988.3172007790
91-243.02839.4253.401285.303423.5631.375-106.973178.329375.9668.3942007791
92-242.97847.0453.209282.980423.4751.370-105.599177.381377.3248.4702007792
93-242.91854.6053.019280.678423.3881.364-104.229176.449378.6738.5462007793
94-242.86862.1252.832278.395423.3021.359-102.865175.530380.0128.6212007794
95-242.81869.5852.648276.132423.2161.354-101.505174.627381.3418.6962007795
96-242.75876.9952.466273.887423.1311.349-100.151173.737382.6628.7702007796
97-242.70884.3552.287271.662423.0461.345-98.801172.860383.9738.8432007797
98-242.65891.6652.110269.454422.9621.340-97.457171.997385.2768.9172007798
99-242.60898.9251.936267.264422.8791.335-96.117171.146386.5708.9892007799
100-242.55906.1351.764265.091422.7961.330-94.782170.309387.8559.06120077100
101-242.49913.3051.594262.935422.7131.326-93.452169.483389.1329.13320077101
102-242.44920.4251.426260.796422.6311.321-92.126168.669390.4019.20420077102
103-242.39927.4951.261258.673422.5501.317-90.805167.867391.6619.27520077103
104-242.34934.5251.097256.566422.4691.312-89.489167.077392.9139.34520077104
105-242.29941.5050.936254.474422.3891.308-88.177166.297394.1589.41520077105
106-242.24948.4450.777252.398422.3091.303-86.869165.529395.3959.48420077106
107-242.19955.3450.619250.336422.2301.299-85.565164.771396.6249.55320077107
108-242.15962.1450.459248.233422.1521.295-84.266163.967397.8869.62120077108
109-242.11968.4750.256245.655422.0881.289-82.972162.684399.4929.68520077109
110-242.07974.7550.056243.106422.0231.284-81.682161.423401.0899.74820077110
111-242.03980.9949.859240.583421.9591.279-80.398160.185402.6779.81020077111
112-241.99987.1749.664238.088421.8961.274-79.119158.969404.2549.87220077112
113-241.95993.3249.472235.619421.8331.268-77.846157.773405.8239.93320077113
114-241.91999.4249.283233.175421.7701.263-76.577156.598407.3839.99420077114
115-241.871005.4749.096230.756421.7081.258-75.314155.442408.93410.05520077115
116-241.831011.4948.911228.361421.6461.254-74.055154.306410.47510.11520077116
117-241.791017.4648.729225.990421.5851.249-72.802153.188412.00910.17520077117
118-241.761023.3948.550223.642421.5241.244-71.553152.089413.53310.23420077118
119-241.721029.2848.372221.317421.4641.239-70.309151.007415.04910.29320077119
120-241.681035.1348.197219.013421.4041.235-69.070149.943416.55710.35120077120
121-241.641040.9348.024216.732421.3441.230-67.835148.896418.05710.40920077121
122-241.611046.7147.854214.471421.2851.225-66.606147.866419.54810.46720077122
123-241.571052.4447.685212.232421.2261.221-65.380146.851421.03210.52420077123
124-241.531058.1347.518210.012421.1681.216-64.159145.853422.50810.58120077124
125-241.501063.7947.354207.812421.1101.212-62.943144.870423.97610.63820077125
126-241.461069.4147.191205.632421.0521.208-61.731143.901425.43610.69420077126
127-241.431075.0047.031203.471420.9951.203-60.523142.948426.88910.75020077127
128-241.391080.5546.872201.328420.9381.199-59.319142.008428.33410.80520077128
129-241.361086.0646.715199.203420.8811.195-58.120141.083429.77210.86120077129
130-241.321091.5546.560197.097420.8251.191-56.925140.171431.20310.91520077130
131-241.291096.9946.407195.007420.7691.187-55.734139.273432.62710.97020077131
132-241.251102.4146.255192.935420.7141.183-54.547138.388434.04311.02420077132
133-241.221107.7946.106190.880420.6591.179-53.364137.515435.45311.07820077133
134-241.181113.1445.958188.841420.6041.175-52.185136.655436.85611.13120077134
135-241.151118.4545.811186.818420.5491.171-51.011135.808438.25211.18520077135
136-241.141120.8945.552183.197420.5271.164-49.839133.357440.74711.20920077136
137-241.121123.2845.296179.637420.5051.158-48.675130.962443.24111.23320077137
138-241.111125.6445.043176.151420.4831.151-47.517128.634445.72211.25620077138
139-241.101127.9844.795172.736420.4621.145-46.366126.370448.19211.28020077139
140-241.081130.3144.551169.390420.4411.139-45.221124.168450.65111.30320077140
141-241.071132.6144.310166.109420.4201.132-44.083122.026453.09911.32620077141
142-241.061134.8944.073162.892420.3991.126-42.950119.942455.53511.34920077142
143-241.041137.1543.840159.737420.3781.120-41.824117.913457.96111.37120077143
144-241.031139.3943.610156.642420.3581.114-40.704115.938460.37611.39420077144
145-241.021141.6143.383153.604420.3371.108-39.590114.014462.78011.41620077145
146-241.011143.8143.160150.621420.3171.103-38.481112.140465.17311.43820077146
147-240.991145.9942.940147.693420.2971.097-37.379110.314467.55711.46020077147
148-240.981148.1542.723144.816420.2771.091-36.282108.535469.93011.48220077148
149-240.971150.3042.509141.990420.2581.086-35.190106.800472.29311.50320077149
150-240.961152.4242.299139.213420.2381.080-34.104105.109474.64611.52420077150
151-240.951154.5342.091136.483420.2191.075-33.024103.459476.99011.54520077151
152-240.931156.6341.886133.799420.2001.070-31.949101.850479.32311.56620077152
153-240.921158.7041.684131.159420.1811.065-30.879100.280481.64811.58720077153
154-240.911160.7641.484128.562420.1621.059-29.81498.748483.96211.60820077154
155-240.901162.8041.288126.007420.1431.054-28.75597.252486.26811.62820077155
156-240.891164.8341.094123.492420.1251.049-27.70195.792488.56411.64820077156
157-240.881166.8440.902121.017420.1061.044-26.65194.366490.85111.66820077157
158-240.861168.8340.713118.580420.0881.040-25.60792.973493.13011.68820077158
159-240.851170.8140.527116.180420.0701.035-24.56791.613495.39911.70820077159
160-240.841172.7840.343113.815420.0521.030-23.53290.283497.66011.72820077160
161-240.831174.7240.161111.486420.0341.025-22.50288.984499.91211.74720077161
162-240.821176.6639.981109.191420.0161.021-21.47787.714502.15511.76720077162
163-240.811178.5839.804106.928419.9991.016-20.45686.472504.39011.78620077163
164-240.801180.4839.629104.698419.9811.012-19.44085.258506.61711.80520077164
165-240.791182.3839.457102.499419.9641.007-18.42884.071508.83611.82420077165
166-240.781184.2539.286100.330419.9471.003-17.42182.909511.04611.84320077166
167-240.771186.1239.11798.191419.9300.998-16.41981.773513.24811.86120077167
168-240.751187.9738.95196.081419.9130.994-15.42080.661515.44311.88020077168
169-240.741189.8138.78693.998419.8960.990-14.42679.573517.62911.89820077169
170-240.731191.6338.62491.943419.8790.986-13.43678.507519.80811.91620077170
171-240.721193.4438.46389.915419.8620.982-12.45077.464521.97911.93420077171
172-240.711195.2438.30487.912419.8460.978-11.46976.443524.14211.95220077172
173-240.701197.0338.14785.934419.8300.973-10.49175.443526.29811.97020077173
174-240.691198.8137.99283.981419.8130.969-9.51874.464528.44611.98820077174
175-240.681200.5737.83982.052419.7970.966-8.54873.504530.58712.00620077175
176-240.671202.3237.68780.146419.7810.962-7.58372.564532.72112.02320077176
177-240.661204.0637.53878.264419.7650.958-6.62171.643534.84712.04120077177
178-240.651205.7937.38976.403419.7490.954-5.66370.740536.96612.05820077178
179-240.641207.5037.24374.564419.7340.950-4.70969.855539.07912.07520077179
180-240.631209.2137.09872.746419.7180.946-3.75968.987541.18412.09220077180
181-240.621210.9036.95570.949419.7030.943-2.81368.136543.28212.10920077181
182-240.611212.5936.81369.172419.6870.939-1.87067.302545.37412.12620077182
183-240.611214.2636.67367.415419.6720.935-0.93166.484547.45812.14320077183
184-240.601215.9236.53465.677419.6570.9320.00565.681549.53612.15920077184
185-240.591217.5736.39763.957419.6420.9280.93764.894551.60812.17620077185
186-240.581219.2136.26162.256419.6270.9251.86564.121553.67212.19220077186
187-240.571220.8436.12760.574419.6120.9212.79063.363555.73112.20820077187
188-240.561222.4635.99458.908419.5970.9183.71162.619557.78212.22520077188
189-240.551224.0735.86357.260419.5820.9154.62961.889559.82812.24120077189
190-240.541225.6735.73255.629419.5670.9115.54461.173561.86712.25720077190
191-240.531227.2635.60454.014419.5530.9086.45560.469563.90012.27320077191
192-240.521228.8435.47652.415419.5380.9057.36359.778565.92612.28820077192
193-240.511230.4235.35050.832419.5240.9018.26859.099567.94612.30420077193
194-240.501231.9835.22549.264419.5100.8989.16958.433569.96112.32020077194
195-240.501233.5335.10147.711419.4950.89510.06757.778571.96912.33520077195
196-240.491235.0834.97946.173419.4810.89210.96257.135573.97112.35120077196
197-240.481236.6134.85844.649419.4670.88911.85456.504575.96812.36620077197
198-240.471238.1434.73843.140419.4530.88612.74355.883577.95812.38120077198
199-240.461239.6534.61941.644419.4390.88313.62955.273579.94312.39720077199
200-240.451241.1634.50140.162419.4250.88014.51154.674581.92212.41220077200
ÀÌ ÇÁ·Î±×·¥Àº LH2(¾×ü¼ö¼Ò ÀúÀåÅÊÅ©) ¿¡¼­ CVP MLI ¸¦ »ç¿ë ÇÒ °æ¿ìÀÇ
Heat Flux ¹× Thrmal Conductivity ¸¦ °è»ê ÇÏ´Â ¸ðµâÀÔ´Ï´Ù. (2024³â 2¿ù 1ÀÏ ¼Û±æ¼ö ÀÌ»ç)

This file location is : /jhb/FUNCTION_LH2_SPH.jsp


S-Tank Engineering
Heat Flux ¹× Thrmal Conductivity   Page   [$CP] / [$TP]
[AAA1] [AAA2] 
Doc. No. : of Multi Layer Inuslation for LH2 tankRev. No.[AAA4] 

1. Design Condition of LH2 Tank
NoDescriptionSymbolÀý´ë¿Âµµ, K¼·¾¾ [¡É]Remark
1LH2 Liquid Temperature (Cold)Tc = 20.28-252.87
2Outside Temperature (Hot)Th =293.60620.456
3Temperature difference ¡âT = Th - Tc¡âT =273.326273.326
3Mid. Point Temperature, Tavg = (Th+Tc)/2Tavg =156.943-116.207
No P, [torr]P, milliTorr
4Residual Gas Pressure (vacuum level)P =1.0¡¿10-40.1
5Effective Emissivity ( e = 0.01 ~ 0.05 )
MLI_ASTM_C740 - C 740M - 3 page
(¹Ý»çÀ² : alumininum foil : 0.02)
Emissivity of MLI shield surface, assumed equal for all layers
MLI Â÷Æó Ç¥¸éÀÇ ¹æ»çÀ²(¸ðµç ·¹À̾ ´ëÇØ µ¿ÀÏÇÏ´Ù°í °¡Á¤)
¥å =0.020.02

Ãâó : NASA_Cylindrical cryogenic calorimeter testing of six types of MLI_2017SCWChicago-SixTypesMLI.pdf
2. MLI Coefficients for Heat Flux Calculation
No.MLI NAMECsCrCgN
(Layers)
N*
Layers/cm
thickness
N/N*
(mm)
Remark
1N01 - Foil & Paper (60, 2.5, 26.6)8.95¡¿10-85.39¡¿10-101.46¡¿10-46025.526.6
2N02 - Foil & Paper (60, 3.6, -)8.95¡¿10-85.39¡¿10-101.46¡¿10-4603616.6
3N03 - Foil & Paper (80, 3.8, -)8.95¡¿10-85.39¡¿10-101.46¡¿10-4803821.1ÁÖ) ¾Æ·¡ 4.1 Eqn) »ç¿ë
4(³í¹®) Unperforated DAM with Silk-net8.95¡¿10-85.39¡¿10-101.46¡¿10-4401921.1
5(³í¹®) Perforated DAM with Glass-tissue7.3¡¿10-87.07¡¿10-101.46¡¿10-44022.717.6
6(³í¹®) Perforated DAM with DacronEqn) 4.14.94¡¿10-101.46¡¿10-4401428.6
Calculation ResultCVP, P = 1.0¡¿10-4 (torr)¹æ»çÀ² e = 0.02MLI ConditionHeat Flex
Check!
qTotal < 2.5 OK)
No.MLI NameHet Flux. q (W/m©÷)Heat Flux Ratio (%)@CVP, PNN*N/N*
q(solid)q(rad)q(gas)q(total)q(solid)q(rad)q(gas)q(total)torrLayersLayers/cmmm
1N01 - Foil & Paper (60, 2.5, 26.6)0.3150.063.725¡¿10-90.37584160100(%)1.0¡¿10-46025.526.6q(total) < 2.5 OK!
2N02 - Foil & Paper (60, 3.6, -)0.780.063.725¡¿10-90.8492.867.140100(%)1.0¡¿10-4603616.6q(total) < 2.5 OK!
3N03 - Foil & Paper (80, 3.8, -)0.6770.0452.794¡¿10-90.72293.776.230100(%)1.0¡¿10-4803821.1q(total) < 2.5 OK!
4(³í¹®) Unperforated DAM with Silk-net0.2160.095.122¡¿10-90.30670.5929.410100(%)1.0¡¿10-4401921.1q(total) < 2.5 OK!
5(³í¹®) Perforated DAM with Glass-tissue0.2810.1185.122¡¿10-90.39970.4329.570100(%)1.0¡¿10-44022.717.6q(total) < 2.5 OK!
6(³í¹®) Perforated DAM with Dacron0.2320.0835.122¡¿10-90.31573.6526.350100(%)1.0¡¿10-4401428.6q(total) < 2.5 OK!

¾Æ·¡ º¸³ÃÀç(MATERIL 7°³ Ç׸ñ)º°·Î CVP(Áø°ø¾Ð·Â) : 1 ~ 10,000 milliTorr ±îÁö ÀÇ ¿­Àüµµµµ¸¦ ¾Æ·¡ ¼ö½Ä¿¡ ÀÇÇÏ¿© °è»êÇÕ´Ï´Ù.
÷ºÎ 20ÂÊ ¹®¼­ : Effective thermal conductivity of insulation materials for cryogenic LH2 storage tanks_ A review.pdf
4. Thermal Conductivity Calculation Result ( Ke, W/(m©÷-K) )
No.Vacuum Pressure, PCold Inuslation Material
Thermal Conductivity, Ke, mW/(m©÷-K)
Sketech
No.(millitorr)(torr)(Pa, N/m©÷)4.
Ke.fabric
3.
Ke.MLI40
̵̧
2.
Ke.foil
̵̧
7.
Ke.FG
5.
Ke.GB
1.
Ke.MLInet
6.
Ke.AB
8.
Ke.SOF
Sketech
10.0011.0¡¿10-61.3¡¿10-40.13070.07000.06001.95010.68000.03001.70007.3017Ãâó : 20ÂÊ, Effective thermal conductivity of insulation materials for cryogenic LH2 storage tanks_ A review.pdf [º¸±â]

20.0022.0¡¿10-62.7¡¿10-40.13150.07010.06001.95020.68000.03011.70007.3034
30.0033.0¡¿10-64.0¡¿10-40.13220.07010.06001.95030.68000.03011.70007.3050
40.0044.0¡¿10-65.3¡¿10-40.13290.07020.06001.95030.68000.03021.70017.3067
50.0055.0¡¿10-66.7¡¿10-40.13360.07020.06011.95040.68010.03021.70017.3084
60.0066.0¡¿10-68.0¡¿10-40.13430.07030.06011.95050.68010.03031.70017.3101
70.0077.0¡¿10-69.3¡¿10-40.13490.07030.06011.95060.68010.03031.70017.3117
80.0088.0¡¿10-60.001070.13560.07040.06011.95070.68010.03041.70017.3134
90.0099.0¡¿10-60.00120.13630.07040.06011.95080.68010.03041.70017.3151
100.011.0¡¿10-50.001330.13690.07050.06011.95090.68010.03051.70017.3168
110.022.0¡¿10-50.002670.14310.07090.06021.95170.68020.03091.70037.3335
120.033.0¡¿10-50.0040.14870.07140.06031.95260.68040.03141.70047.3502
130.044.0¡¿10-50.005330.15380.07180.06041.95350.68050.03181.70067.3668
140.055.0¡¿10-50.006670.15840.07230.06061.95440.68060.03231.70077.3834
150.066.0¡¿10-50.0080.16260.07270.06071.95520.68070.03281.70097.4000
160.077.0¡¿10-50.009330.16650.07320.06081.95610.68090.03321.70107.4165
170.088.0¡¿10-50.010670.17020.07370.06091.95700.68100.03371.70117.4330
180.099.0¡¿10-50.0120.17360.07410.06101.95780.68110.03411.70137.4494
190.11.0¡¿10-40.013330.17670.07460.06111.95870.68120.03461.70147.4658
200.22.0¡¿10-40.026660.20060.07910.06221.96740.68250.03921.70287.6272
210.33.0¡¿10-40.040.21690.08370.06331.97610.68370.04381.70437.7846
220.44.0¡¿10-40.053330.22970.08820.06441.98480.68490.04841.70577.9379
230.55.0¡¿10-40.066660.24060.09280.06551.99340.68610.05301.70718.0874
240.66.0¡¿10-40.079990.25040.09730.06662.00210.68740.05761.70858.2333
250.77.0¡¿10-40.093330.25940.10180.06772.01070.68860.06211.70998.3755
260.88.0¡¿10-40.106660.26800.10640.06882.01940.68980.06671.71138.5144
270.99.0¡¿10-40.119990.27620.11090.06992.02800.69100.07131.71288.6499
2810.0010.133320.28410.11530.07102.03660.69230.07591.71428.7822
2920.0020.266640.35650.15980.08202.12220.70450.12131.72829.9525
3030.0030.399970.42440.20350.09302.20680.71670.16631.742210.8998
3140.0040.533290.49040.24630.10392.29040.72890.21091.756011.6824
3250.0050.666610.55530.28830.11492.37300.74100.25511.769712.3398
3360.0060.799930.61930.32960.12582.45470.75310.29891.783312.8997
3470.0070.933260.68240.37020.13672.53540.76520.34231.796913.3825
3580.0081.066580.74480.41010.14762.61520.77720.38531.810313.8030
3690.0091.19990.80650.44940.15852.69410.78920.42791.823614.1725
37100.011.333220.86740.48800.16932.77210.80120.47011.836814.4997
38200.022.666451.44190.84370.27713.50620.91920.87251.963616.4634
39300.033.999671.96031.15540.38334.16561.03431.24192.081517.3798
40400.045.33292.43061.43460.48794.76121.14671.58212.191417.9104
41500.056.666122.85941.68890.59105.30191.25651.89652.294018.2564
42600.067.999343.25181.92330.69275.79481.36412.18792.390118.4999
43700.079.332573.61232.14170.79306.24621.46942.45882.480318.6806
44800.0810.665793.94472.34670.89186.66101.57272.71122.565118.8199
45900.0911.999024.25222.54040.98937.04351.67412.94702.644918.9307
461000.113.332244.53732.72431.08547.39731.77363.16782.720319.0209
472000.226.664486.55534.21231.97819.87582.68834.78963.291519.4445
483000.339.996727.72585.32372.762411.29453.49395.78183.657019.5927
494000.453.328968.49016.21433.457012.21484.22236.45263.911219.6681
505000.566.66129.02836.95214.076412.86094.89116.93724.098519.7138
516000.679.993449.42797.57604.632113.34015.51107.30424.242419.7444
527000.793.325689.73628.11195.133713.71036.08947.59244.356419.7664
538000.8106.657929.98148.57775.588514.00526.63177.82504.449219.7830
549000.9119.9901610.18118.98666.002914.24617.14208.01714.526319.7959
551,0001133.322410.34689.34866.382114.44687.62368.17864.591319.8062
562,0002266.644811.166211.52348.930215.468011.31359.02484.933819.8529
573,0003399.967211.469612.542810.310215.885013.73569.38585.077619.8686
584,0004533.289611.627713.134811.177616.132415.45549.60645.162719.8764
595,0005666.61211.724813.521811.774816.308216.74119.76685.222719.8811
606,0006799.934411.790413.794512.212216.446917.73909.89565.269619.8843
617,0007933.256811.837713.997112.547316.563818.536410.00565.308719.8865
628,00081066.579211.873514.153512.812816.666719.188010.10325.342819.8882
639,00091199.901611.901414.277913.028916.759919.730710.19235.373719.8895
6410,000101333.22411.923914.379313.208716.846020.189610.27505.402119.8906
Nomenclature
NASA_Cylindrical cryogenic calorimeter testing of six types of MLI_2017SCWChicago-SixTypesMLI.pdf
SymbolDescription
QHeat fow rate [W]
q Heat flux [W/m©÷]
hfg Heat of vaporization [J/g]
ke Effective thermal conductivity [mW/m-K]
do Outside diameter of test specimen [m]
di Inside diameter of test specimen [m]
LeEffective length of test specimen [m]
AeEffective heat transfer area [m©÷]
x Thickness of test specimen [(do - di)/2)] [m or mm]
n Number of layers (or layer-pairs) [-]
z Layer density [layers/mm]
SymbolDescription
WVP Warm vacuum pressure [torr or millitorr]
CVP Cold vacuum pressure [torr or millitorr [Note: 1 torr = 133 Pa]]
WBT Warm boundary temperature [K] CBT
ThWarm boundary temperature [K]
TcCold boundary temperature [K]
¥ÄT Temperature difference [K]
P Residual gas pressure (vacuum level) [torr]
¥á Accommodation coeffcient [-]
¥å Effective emissivity [-]
hc Thermal contact conductance [W/K+]
¥ò Stefan-Boltzmann constant (5.67 ¡¿ 10-8) [W-m/K4]


Referance : FUNCTION_MATH.jsp / String PRT_LIQUID_PROP(contName)
1. Thermophysical Properties of Refrigerants (ASHRAE Chap.30 ¹ßÃé)_2009³â.pdf
[ÀÚ¼¼È÷ Popup View]
No.NameLiquid NameBoiling Point
Temperature
Latent Heat
of Vaporization
Áõ¹ßÀá¿­
L = hVapor-hLiquid
Density of Liquid
at Boiling Point, ¥ñ
ASHRAE NOEnthalpy
(Vapor)
Enthalpy
(Liquid)
(¡É)(K)(kJ/kg)(kg/m©ø)(kJ/kg)(kJ/kg)
1LH2¾×È­¼ö¼Ò (LH2) (Parahydrogen)-252.8020.35443.970.8R702p189.5-254.4
2LN2¾×È­Áú¼Ò LN2-195.8077.35199.18806.1R72877.16-122.02
3LAR¾Æ¸£°ï(Ar)-185.8087.35161.141395.4R74043.62-117.52
4LOXLiquid Oxygen »ê¼Ò(O2)-183.0090.15213.061141.2R73279.69-133.37
5LNGLNG(CH4 Methane)-163.00110.15510.83422.4R50510.830
6ETHYLENE¿¡Æ¿·»(C2H4 Ethylene)-103.72154.70482.41567.7R1150482.410
7ETHANE¿¡Åº(C2H6 Ethane)-88.58184.47489.49543.8R170489.490
8PROPYLENEÇÁ·ÎÇÊ·» (Propylene )-47.69225.46439.16609.1R1270529.390.14
9LPGÇÁ·ÎÆÇ (Propane)-42.11231.04425.59580.9R290525.95100.36
10AMMONIA¾Ï¸ð´Ï¾Æ (Ammonia)-33.33239.821369.5682R7171418.2648.76
11LCO2¾×üÀÌ»êȭź¼Ò LCO2
Liquid carbon dioxide
-37.00236.15316.921101R744435.9118.98
12BUTANEN-ºÎź (N-Butane, C4-H10)-0.49272.66385.71601.3R600584.58198.87
[ÀÚ¼¼È÷ Popup View]


2. Thermal conductivity of Insulation material (¿­Àüµµµµ , k)
No.Insulation MaterialSI UnitMetricDensityPARTREMARK
(ASTM No.)
k [W/m¡¤¡É]k [kcal/h¡¤m¡¤¡É]¥ñ, kg/m©ø
 ¾×È­¼ö¼Ò Liquid Hydrogen Insulation
Perlite Vacuum Pressure = 0.01 Torr0.00190.0016365All Vessel
(ÀϹÝÀûÀÓ) Perlite Vacuum Pressure = 0.05 Torr0.00210.0018165All Vessel
Perlite Vacuum Pressure = 0.10 Torr0.00350.0030165All Vessel
Perlite Vacuum Pressure = 0.5 Torr0.060.051665All Vessel
Perlite Vacuum Pressure = 1.0 Torr0.140.120465All Vessel
Perlite Vacuum Pressure = 760 Torr (atm)44.0037.83365All Vessel
BMLI : Multilayer Vacuum Insulation
1Steel Shell Plate (C/S)45.2988538.957850Shell & Roof???
2PolyUrethane Foam (PUF)0.0267490.02340Shell & Roof
3Perlite0.0441940.03865Shell & Roof
4Resilient blanket0.0267490.02317.5Shell & Roof
5Pre-stressed concrete2.3004141.978-Shell & Roof
6Cellular glass0.0430310.037120Shell & Bottom
7Perlite Concrete Block (PCB)0.270.23221200Bottom
8Level Concrete0.290750.25-Bottom
9Cellular Glass Block0.0372160.032120Bottom
10Dry sand0.1570.135-Bottom
11Level concrete0.290750.25-Bottom
12Fiber Glass0.0407050.03524Roof Deck »ó´Ü



3. Fillm coefficient of heat transfer (°æ¸·¿­Àü´Þ °è¼ö, h)
No.Insulation MaterialSI UnitMetricDensityREMARK
(ASTM No.)
h [W/m©÷¡¤¡É]h [kcal/h¡¤m©÷¡¤¡É]¥ñ, kg/m©ø
1Liquid to Steel23.2620-
2Air to Steel11.6310-
3Air to concreate11.6310-
Where,
  º¸¿ÂµÎ²², t : Insulation Thickness [m]
  (ÃÑ°ý ¿­Àü´Þ °è¼ö) Overall heat transfer coefficient, Us= 1/(t/k) [W/m©÷¡¤¡É]
  (¿­ÀúÇ×) Thermal Resistance , R = t/(k*A) [¡É/W]

4. °æ¸· ¿­Àü´Þ °è¼ö [¹Ù·Î°¡±â]
[ ÌÑدæðîîÓ¹Ìõ⦠, film coefficient of heat transfer , Warmeubergangszahl ]
¹°Ã¼ÀÇ °æ°è¸é¿¡¼­ ¿­Àü´ÞÀ» Áö¹èÇÏ´Â ¿­Àü´Þ °è¼öÀÇ ÀÏÁ¾. °íüº®°ú À¯Ã¼ »çÀÌ¿¡ ¿­Àü´ÞÀÌ ÇàÇØÁö´Â °æ¿ìÀÇ ¿Âµµ ºÐÆ÷´Â,
À¯Ã¼°¡ ¿¹¸¦ µé¸é ³­·ù »óÅ·ΠÈ帣°í ÀÖÀ» ¶§´Â ´ÙÀ½ ±×¸²°ú °°ÀÌ º®¸é °¡±îÀÌ¿¡ ±Þ°ÝÇÑ ¿Âµµ ±â¿ï±â°¡ Á¸ÀçÇÑ´Ù.
ÀÌ°ÍÀº À¯Ã¼ º»Ã¼¿¡¼­´Â º®¸é¿¡ ¼öÁ÷ ¹æÇâÀÇ À¯Ã¼ ÈåÆ®·¯Áü¿¡ ÀÇÇØ ¿­ÀÇ À̵¿ÀÌ À绡¸® ÀÌ·ç¾îÁö´Â µ¥ ´ëÇؼ­ ¾Æ¹«¸® À¯Ã¼ º»Ã¼°¡
³­·ùÀÌ´õ¶óµµ º®¸é °¡±îÀÌ¿¡¼­´Â ÈåÆ®·¯ÁüÀÌ ¾ïÁ¦µÇ°í º® Ç¥¸é¿¡´Â ÃþÈ帧 »óÅÂÀÇ ¾ãÀº À¯Ã¼¸·ÀÌ À־
¿©±â¸¦ Åë°úÇÏ´Â Àüµµ ¿­Àü´ÞÀÇ ÀúÇ×ÀÌ ¸Å¿ì Å©±â ¶§¹®ÀÌ´Ù.

¹øÈ£±¸ºÐh[kcal/h¡¤m¡¤¡É]
1°ø±â °¡¿­, ³Ã°¢1~50
2¹° °¡¿­, ³Ã°¢200~15000
3±â¸§ °¡¿­, ³Ã°¢50~1500
4¼öÁõ±â °ú¿­20~100
5¼öÁõ±â ¸·»ó ÀÀÃà4000~15000
6¼öÁõ±â ¹æ¿ï»ó ÀÀÃà50000~100000
7À¯±â Áõ±â ÀÀÃà1000~2000
8¹° ²úÀ½1500~40000
5. µ¿¼ºÄɹÌÄ® IMO TYPE A/B/C TANK ( PUF INSULATION ) / Product Description [¹Ù·Î°¡±â]

Insulation System of PUF SPRAY type applicable to LPG/LEG/LNG liquidified cargi tank

Applicable to DECK TANK due to high environmental effect resistance

Construction is easy, and easy maintenance and repair

Relatively short construction period saves costs

Fp140-40
PropertiesUnitAllowanceTest Method
Sprayed densitykg/m©ø36 – 50ASTM D1622
Compressive strengthkg/cm©÷¡Ã 1.7ASTM D1621
Tensile strengthkg/cm©÷¡Ã 2.0ISO 1926:2009
Thermal conductivity at 20¡ÆCW/mK¡Â 0.021ASTM C518
at 20¡ÆC aged 4 month W/mK¡Â 0.023ASTM C518
Dimensional stabilityvol%¡Â 1ASTM 2126
Closed cell content%¡Ã 90ASTM D6226
Water absorptiong/100cm©÷¡Â 3.0KS M 3809
FlammabilityB2DIN 4102, Part 1

Fp140-60
PropertiesUnitAllowanceTest Method
Sprayed densitykg/m©ø50 – 56ASTM D1622
Compressive strengthkg/cm©÷¡Ã 2.5ASTM D1621
Tensile strengthkg/cm©÷¡Ã 2.8ISO 1926:2009
Thermal conductivity at 20¡ÆCW/mK¡Â 0.022ASTM C518
at 20¡ÆC aged 4 month W/mK¡Â 0.023ASTM C518
Dimensional stabilityvol%¡Â 1ASTM 2126
Closed cell content%¡Ã 90ASTM D6226
Water absorptiong/100cm©÷¡Â 4.0KS M 3809
FlammabilityB2DIN 4102, Part 1