Vessel 내부 부피 계산

Vertical Vessel 및 Horizontal Vessel의 내부 Volume(부피)을 구하는 공식에 대해 공유하고자 한다.

 

 

 

Vessel 내부 부피 계산

경판(head)의 유형

경판(head)은 압력용기와 저장탱크(storage tank) 열교환기(heat exchanger) 탑조류(tower)에 사용된다.

경판의 종류는 다음 그림과 같이 평면(flat), 반구형(hemispherical), 접시형(flanged and dished or torispherical), 반타원형(semi ellipsoidal) 경판 등으로 구분된다.

 

	Inside Diameter (ID), Knuckle Radius (R), Dish End Total Height (H), Straight Face (SF)		Inside Diameter (ID), Crown Radius (C.R), Knuckle Radius (K.R), Dish End Total Height (H), Straight Face (SF)
Flat Heads		2:1 Ellipsoidal Heads or Semi Elliptical Heads
	Inside Diameter (ID), Crown Radius (C.R), Knuckle Radius (K.R), Dish End Total Height (H), Straight Face (SF)		Inside Diameter (ID), Crown Radius (R), Dish end Total Height (H),  Straight Face (SF)
Torispherical Heads or Flange and Dished Heads		Hemispherical Heads

<그림 1> Typical head types of pressure vessels

 

 

Vertical / Horizontal Vessel Volume 계산식

아래 내용은 하부 경판에 부분적으로 액체가 채워져 있을 경우의 계산식이다.

 

1. 반구형(hemispherical) 

Vertical Volume		bottom head		h:the free space between the liquid surface and the top of the head   Di:Inside Diameter of Vessel h:Liquid level above vessel bottom R:Inside Vessel Radius Rc:Inside crown radius Rk:Inside knuckle radius Vp:Partially Filled Liquid Volume Vt:Total Volume of head or vessel z:Inside Dish Depth ε:Eccentricity of elliptical heads
		top head
Horizontal Volume

 

 

2. 반타원형(semi ellipsoidal or semi elliptical)

Vertical Volume		bottom head		for ASME 2:1 Elliptical heads:C  = 1/2 for DIN 28013 Semi ellipsoidal heads:C  = 0.49951 + 0.10462*(t/Do) + 2.3227*(t/Do)^2 The volume calculated does not include the straight flange of the head,only the curved section. The straight flange length must be included inthe calculation of the volume of the cylindrical section. Di:Inside Diameter of Vessel Do:Outside Diameter of Vessel h:Liquid level above vessel bottom t:Vessel Wall Thickness Vp:Partially Filled Liquid Volume Vt:Total Volume of head or vessel z:Inside Dish Depth ε:Eccentricity of elliptical heads
		top head
Horizontal Volume

 

 

3. 접시형(flanged and dished or torispherical)

Vertical Volume		bottom head		for ASME Torispherical heads:C  = 0.30939 + 1.7197*(Rk-0.06Do)/Di − 0.16116*(t/Do) + 0.98997*(t/Do)^2 for DIN 28011 Torispherical heads:C  = 0.37802 + 0.05073*(t/Do)+ 1.3762 *(t/Do)^2 The volume calculated does not include the straight flange of the head,only the curved section. The straight flange length must be included in the calculation of the volume of the cylindrical section. Di:Inside Diameter of Vessel Do:Outside Diameter of Vessel h:Liquid level above vessel bottom t:Vessel Wall Thickness Rk:Inside knuckle radius Vp:Partially Filled Liquid Volume Vt:Total Volume of head or vessel z:Inside Dish Depth ε:Eccentricity of elliptical heads
		top head
Horizontal Volume

 

Reference : 1. https://www.scribd.com/document/323026271/Volume-and-Wetted-Area-of-Partially-Filled-Vertical-Vessels-Neutrium-pdf

2. https://www.scribd.com/document/535710638/Volume-and-Wetted-Area-of-Partially-Filled-Horizontal-Vessels-Neutrium