BOG Calculation

BOR Calculation (IMO TYPE C FUEL TANK)

No	Description	Symbol	Value	Unit
1	Fluid Name	Fluid =
2	Contents(LNG) Temperature	Ti =		℃
3	Outer Surface Temperature	To =		℃
4	Temperature difference △T =To-Ti	△T =		℃
5	Effective Area of Inner Base	A =		m²
9	[Design Data] Net Storage Capacity (Vnom * 90%)	V =		m³
13	Density of LNG (by P.O.S)	ρ =		kg/m³
12	Latent heat of vaporization of LNG(증발잠열) by P.O.S	h =		J / kg
14	Content Weight of LNG (총질량), F = V * ρ	F =		kg
15	(POS) Boil Off Rate per Day	BOR(POS)=		%/day
CALC! [BOG 계산 실행]

대류 열전달 : 대만 (필즈 엔지니어링) BEDD 17 - NVLNG-ITECO-FD-SA-CAL-100_Sizing Calculation LNG Tank_Rev.3.pdf
참고1 : Vapour to Roof ( 대류 : Suspended Deck ), h = 22 W/(m²·℃)
참고2 : Roof Plate to Air ( 대류 : ), h = 68 W/(m²·℃)
참고3 : Liquid to Shell Side ( 대류 ) , h = 3500 W/(m²·℃)
참고4 : Outer Shell Plate to Air ( 대류 ), h = 68 W/(m²·℃)
참고5 : Liquid to Bottom Plate ( 대류 ) , h = 3500 W/(m²·℃)
참고6 : Under the Concrete slab to Air ( 대류 : ), h = 45 W/(m²·℃)

No.	Insulation Material Location :	Symbol	보냉재 두께 t	열전도도 k	Film Coeff. h	R = t/k OR R = 1/h	Temperature Difference δt=△T · (R/∑R)	Face Temperature	Remark	SKETCH
No.	Insulation Material Location :	Symbol	m	W /(m·℃)	W/(m²·℃)	(m²·℃) / W	℃	℃	Remark	SKETCH
1						0.00029	0.0038	-168.00
2						0.00017	0.0022	-167.99
3						0.03125	0.4125	-167.58
4						0.00017	0.0022	-167.58
5						0.03125	0.4125	-167.17
6						0.00000	0.0000	0.00
7						3.77358	49.8150	-117.35
8						3.32226	43.8571	-73.49
9						2.91545	38.4868	-35.01
10						2.57069	33.9357	-1.07
11						0.12500	1.6501	0.58
12						0.00025	0.0033	0.58
13						0.31250	4.1253	4.71
14						0.02222	0.2934	5.00
15						0.00000	0.0000	0.00
16						0.00000	0.0000	0.00
17						0.00000	0.0000	0.00
18						0.00000	0.0000	0.00
19						0.00000	0.0000	0.00
20						0.00000	0.0000	0.00
	Total Wall Thickness, Thk = ∑t	Thk =	1.215
	Total Thermal Resistance Ratio, ∑R (전체 열저항율)	∑R =				13.105
CALC! [BOG 계산 실행]

Result

No.	Insulation Material	Symbol	보냉재 두께 t	열전도도 k	Film Coeff. h	R = t/k OR R = 1/h	Temperature Difference δt=△T · (R/∑R)	Face Temperature	Remark
No.	Insulation Material	Symbol	m	W /(m·℃)	W/(m²·℃)	(m²·℃) / W	℃	℃	Remark
1	Liquid to Bottom Shell (Convection)				3500	0.00029	0.0038	-168.00
2	9% Nickel Steel (inner tank)	ignored	0.005	30.0		0.00017	0.0022	-167.99
3	Screed ( Sand Cement )		0.050	1.6		0.03125	0.4125	-167.58
4	9% Nickel Steel (2nd Bottom)	ignored	0.005	30.0		0.00017	0.0022	-167.58
5	Screed ( Sand Cement )		0.050	1.6		0.03125	0.4125	-167.17
6	BDPC Felt (Pluvex DPC Felt)	ignored				0.00000	0.0000	0.00
7	Form Glass HLB 800 : Layer 1	at -142.247 ℃	0.100	0.0265		3.77358	49.8150	-117.35
8	Form Glass HLB 800 : Layer 2	at -95.3637 ℃	0.100	0.0301		3.32226	43.8571	-73.49
9	Form Glass HLB 800 : Layer 3	at -54.116 ℃	0.100	0.0343		2.91545	38.4868	-35.01
10	Form Glass HLB 800 : Layer 4	at -17.8057 ℃	0.100	0.0389		2.57069	33.9357	-1.07
11	Reinforced Concrete Screed		0.200	1.6		0.12500	1.6501	0.58
12	Vapour Barrier ( 3rd Btm Steel ? )	ignored	0.005	20.0		0.00025	0.0033	0.58
13	Concrete Outer Tank		0.500	1.6		0.31250	4.1253	4.71
14	Air to Concrete (Convection)	ignored			45	0.02222	0.2934	5.00
	Total Wall Thickness, Thk = ∑t	Thk =	1.215
	Total Thermal Resistance Ratio, ∑R (전체 열저항율)				∑R =	13.105	(m²·℃) / W
BOG Calculation Result :
No.	Description	SI Unit			Metric
1	Contents(LNG) Temperature	Ti =	-168	℃	Ti =	105.15	K
1	Outer Surface Temperature	To =	5	℃	To =	278.15	K
1	Temperature difference △T =To-Ti	△T =	173	℃	△T =	173	K
2	Effective Insulation Area	A =	3589.08	m²	A =	3589.08	m²
3	Overall heat transfer coefficient, U = 1 / ∑R	U =	0.07631	W / (m²·℃)	U =	0.06561	kcal / (m²·K)
4	Total Heat Leak(방산열량) Q = U·△T·A	Q =	47379.4	W	Q =	40766.2	kcal / hr
5	Heat Flex(열유속) q = △T / ∑R or Q / A	q =	13.201	W / m²	q =	11.3508	kcal / (hr·m²)
9	Latent heat of vaporization of LNG(증발잠열) by P.O.S	h =	511000	J / kg	L =	122.05	kcal / kg
10	[Design Data] Net Storage Capacity (90%)	V =	475.35	m³	V =	475.35	m³
11	Density of LNG (by P.O.S)	ρ =	425	kg / m³	ρ =	425	kg / m³
12	Content Weight of LNG (총질량), F = V ⋅ ρ	F =	202024	kg	F =	202024	kg
29	Heat Leak Weight per one hour (시간당 열손실중량), Wt = 3600 ⋅ Q / h	Wt =	333.7883	kg / hr	Wt =	333.7883	kg / hr
13	(POS) Boil Off Rate per Day	BOR(POS)=	0.3	%/day
14	(Calculate) Boil Off Rate per Day BOR(day) = 24⋅3600⋅100 ⋅ Q / (h ⋅ F)	BOR(day)=	3.9653	%/day
15	Check, Calcute BOR(day) < BOR(design)		NG!
40	Leakage Weight per Day, W_loss = F ⋅ BOR / 100	W_loss =	8010.92	kg/day
41	Leakage Volume per Day, V_loss = W_loss / ρ	V_loss=	18.8492	m³/ kg
16	Days of Vaporization of Liquid(Evaporation) , Hdays = F / W_loss	Hdays =	25.22	day

Where ,
t : Insulation material Thickness, 보온두께 (m)
k : Thermal Conductivity 열전도율 [W /(m·℃)]
h : Heat convection coefficients, 대류열전달계수 [W/(m²·℃)]
R : Thermal Transfer Resistance, 열저항율 (m²·℃)/W

시작시간 = [2025-04-03 17:20:12.0973]
종료시간 = [2025-04-03 17:20:12.0974]

Referance
1. Thermophysical Properties of Refrigerants(ASHRAE Chap.30 발췌)_2009년.pdf

No.	Liquid	Boiling Point Temperature		Latent Heat of Vaporization 증발잠열 L=h(vapor)-h(liquid)	Density of Liquid at Boiling Point	ASHRAE NO	Enthalpy (Vapor)	Enthalpy (Liquid)
		(℃)	(K)	(KJ / kg)	ρ , (kg / m³)	ASHRAE NO	h, (kJ/kg)	h, (kJ/kg)
1	LNG(CH4 Methane)	-163	110.15	510.83	422.4	R50	510.83	0
2	프로판 (Propane)	-42.11	231.04	425.59	580.9	R290	525.95	100.36
3	부탄 (Butane)	-0.49	272.66	385.71	601.3	R600	584.58	198.87
4	프로필렌 ( Propylene )	-47.69	225.46	439.16	609.1	R1270	529.3	90.14
5	암모니아 (Ammonia )	-33.33	239.82	1369.5	682	R717	1418.26	48.76
7	Liquid Oxygen 산소	-183	90.15	213.06	1141.2	R732	79.69	-133.37
6	액화질소 LN2	-195.8	77.35	199.18	806.1	R728	77.16	-122.02
8	아르곤	-185.8	87.35	161.14	1395.4	R740	43.62	-117.52
9	헬륨	-268.9	4.25	20.75	124.73	R704	30.59	9.84
10	액화수소 (LH2) (Parahydrogen)	-252.8	20.35	443.9	70.8	R702p	189.5	-254.4

2. Thermal conductivity of Insulation material (열전도도 , k)

No.	Insulation Material	SI Unit	Metric	Density	PART	REMARK (ASTM No.)
No.	Insulation Material	k [W/m·℃]	k [kcal/h·m·℃]	ρ, kg/m³	PART	REMARK (ASTM No.)
1	Steel Shell Plate (C/S)	45.29885	38.95	7850	Shell & Roof	???
2	PolyUrethane Foam (PUF)	0.026749	0.023	40	Shell & Roof
3	Perlite	0.044194	0.038	65	Shell & Roof
4	Resilient blanket	0.026749	0.023	17.5	Shell & Roof
5	Pre-stressed concrete	2.300414	1.978	-	Shell & Roof
6	Cellular glass	0.043031	0.037	120	Shell & Bottom
7
8	Perlite Concrete Block (PCB)	0.27	0.2322	1200	Bottom
9	Level Concrete	0.29075	0.25	-	Bottom
2	Cellular Glass Block	0.037216	0.032	120	Bottom
10	Dry sand	0.157	0.135	-	Bottom
11	Level concrete	0.29075	0.25	-	Bottom
12	Fiber Glass	0.040705	0.035	24	Roof Deck 상단

3. Fillm coefficient of heat transfer (경막열전달 계수, h)

No.	Insulation Material	SI Unit	Metric	Density	REMARK (ASTM No.)
No.	Insulation Material	h [W/m²·℃]	h [kcal/h·m²·℃]	ρ, kg/m³	REMARK (ASTM No.)
1	Liquid to Steel	23.26	20	-
2	Air to Steel	11.63	10	-
3	Air to concreate	11.63	10	-

Where,
보온두께, t : Insulation Thickness [m]
(총괄 열전달 계수) Overall heat transfer coefficient, Us= 1/(t/k) [W/m²·℃]
(열저항) Thermal Resistance , R = t/(k*A) [℃/W]

4. 경막 열전달 계수
[ 境膜熱傳達係數 , film coefficient of heat transfer , Warmeubergangszahl ]
물체의 경계면에서 열전달을 지배하는 열전달 계수의 일종. 고체벽과 유체 사이에 열전달이 행해지는 경우의 온도 분포는,
유체가 예를 들면 난류 상태로 흐르고 있을 때는 다음 그림과 같이 벽면 가까이에 급격한 온도 기울기가 존재한다.
이것은 유체 본체에서는 벽면에 수직 방향의 유체 흐트러짐에 의해 열의 이동이 재빨리 이루어지는 데 대해서 아무리 유체 본체가
난류이더라도 벽면 가까이에서는 흐트러짐이 억제되고 벽 표면에는 층흐름 상태의 얇은 유체막이 있어서
여기를 통과하는 전도 열전달의 저항이 매우 크기 때문이다.

번호	구분	h[kcal/h·m·℃]
1	공기 가열, 냉각	1~50
2	물 가열, 냉각	200~15000
3	기름 가열, 냉각	50~1500
4	수증기 과열	20~100
5	수증기 막상 응축	4000~15000
6	수증기 방울상 응축	50000~100000
7	유기 증기 응축	1000~2000
8	물 끓음	1500~40000

동성케미칼 IMO A/B/C TYPE TANK (PUF INSULATION )

Product Description

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

Properties	Unit	Allowance	Test Method
Sprayed density	kg/m³	36 – 50	ASTM D1622
Compressive strength	kg/cm²	≥ 1.7	ASTM D1621
Tensile strength	kg/cm²	≥ 2.0	ISO 1926:2009
Thermal conductivity at 20°C	W/mK	≤ 0.021	ASTM C518
at 20°C aged 4 month	W/mK	≤ 0.023	ASTM C518
Dimensional stability	vol%	≤ 1	ASTM 2126
Closed cell content	%	≥ 90	ASTM D6226
Water absorption	g/100cm²	≤ 3.0	KS M 3809
Flammability	–	B2	DIN 4102, Part 1

Fp140-60

Properties	Unit	Allowance	Test Method
Sprayed density	kg/m³	50 – 56	ASTM D1622
Compressive strength	kg/cm²	≥ 2.5	ASTM D1621
Tensile strength	kg/cm²	≥ 2.8	ISO 1926:2009
Thermal conductivity at 20°C	W/mK	≤ 0.022	ASTM C518
at 20°C aged 4 month	W/mK	≤ 0.023	ASTM C518
Dimensional stability	vol%	≤ 1	ASTM 2126
Closed cell content	%	≥ 90	ASTM D6226
Water absorption	g/100cm²	≤ 4.0	KS M 3809
Flammability	–	B2	DIN 4102, Part 1