Volume of a Horizontal Vessel

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Premium Power-User Join Date: Feb 2009 Posts: 118 Good Answers: 3	Volume of a Horizontal Vessel 05/19/2009 9:37 PM
	Dear all.. I need your input here.. What is the volume of horizontal vessel with 2:1 ellipsoidal head? And also what is the volume of horizontal vessel with hemispherical head? Actually, i have found the calculation template from this following link, http://www.hatltd.com/hosted/55000702/home.nsf/396e036940cdfb7a802571280074ad47/a8d02af95cc8aae080257309002fa139/$FILE/HAT%20Horiz%20Vessel%20Vol.xls I just want to know what exactly is the formula.. Really thankful for your response.. __________________ Please give respectful & positive answer than insulting! Respect each other ok..
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#6 "Re: Volume of a Horizontal Vessel" by ba/ael on 05/21/2009 10:23 AM (score 1)

Dilip Kumar Singh Member Join Date: Jan 2009 Location: Navi Mumbai Posts: 9 Good Answers: 1	#1 Re: Volume of a Horizontal Vessel 05/21/2009 12:15 AM
	u can refer Denis moss Appendix D for reference.
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Anonymous Poster

Re: Volume of a Horizontal Vessel

05/21/2009 12:45 AM

it is not a formula but is a series of calculation, I have excel file but I am new member and trying to paste that file but donot know you can send me a mail writing horizontal tank volume i will send you.

Calculate volume of Dish V for ellipsoidal (std ASME) = pi()* Dia(ft)^3/24

Calculate H/D where H is the depth of liquid and D is diameter of tank in inch.

Calculate angle A in rad Acos(1-2(H/D))

Vol of tank cft. = (Lenth(ft)*Dia(ft)^2/4)*(A-sinA*CosA)+4*V*A^2*(1.5-A)

22.22	cu.ft
heads
H/D	Angle
rad
1.65	0.86	6.5	24	0.008333	0.183
1.3	3.30	2.45	18.4	69	0.016667	0.259
1.95	4.95	4.50	33.8	128	0.025	0.318
2.6	6.60	6.93	52.0	197	0.033333	0.367
3.25	8.26	9.69	72.7	275	0.041667	0.411
3.9	9.91	12.73	95.5	361	0.05	0.451
4.55	11.56	16.03	120.2	454	0.058333	0.488
5.2	13.21	19.57	146.8	555	0.066667	0.522
5.85	14.86	23.33	174.9	661	0.075	0.555
6.5	16.51	27.29	204.7	774	0.083333	0.586
7.15	18.16	31.45	235.8	891	0.091667	0.615
7.8	19.81	35.78	268.4	1014	0.1	0.644
8.45	21.46	40.29	302.2	1142	0.108333	0.671
9.1	23.11	44.96	337.2	1275	0.116667	0.697
9.75	24.77	49.79	373.4	1412	0.125	0.723
10.4	26.42	54.76	410.7	1553	0.133333	0.748
11.05	28.07	59.88	449.1	1697	0.141667	0.772
11.7	29.72	65.12	488.4	1846	0.15	0.795
12.35	31.37	70.50	528.7	1999	0.158333	0.818
13	33.02	76.00	570.0	2154	0.166667	0.841
13.65	34.67	81.61	612.1	2314	0.175	0.863
14.3	36.32	87.34	655.0	2476	0.183333	0.885
14.95	37.97	93.17	698.8	2641	0.191667	0.906
15.6	39.62	99.11	743.3	2810	0.2	0.927
16.25	41.28	105.15	788.6	2981	0.208333	0.948
16.9	42.93	111.28	834.6	3155	0.216667	0.968
17.55	44.58	117.51	881.3	3331	0.225	0.988
18.2	46.23	123.82	928.6	3510	0.233333	1.008
18.85	47.88	130.21	976.6	3692	0.241667	1.028
19.5	49.53	136.69	1025.2	3875	0.25	1.047
20.15	51.18	143.24	1074.3	4061	0.258333	1.066
20.8	52.83	149.87	1124.0	4249	0.266667	1.085
21.45	54.48	156.57	1174.2	4439	0.275	1.104
22.1	56.13	163.33	1225.0	4630	0.283333	1.123
22.75	57.79	170.16	1276.2	4824	0.291667	1.141
23.4	59.44	177.05	1327.9	5019	0.3	1.159
24.05	61.09	184.00	1380.0	5216	0.308333	1.177
24.7	62.74	191.00	1432.5	5415	0.316667	1.195
25.35	64.39	198.06	1485.5	5615	0.325	1.213
26	66.04	205.17	1538.8	5817	0.333333	1.231
26.65	67.69	212.33	1592.5	6019	0.341667	1.249
27.3	69.34	219.53	1646.5	6224	0.35	1.266
27.95	70.99	226.77	1700.8	6429	0.358333	1.284
28.6	72.64	234.05	1755.4	6635	0.366667	1.301
29.25	74.29	241.38	1810.3	6843	0.375	1.318
29.9	75.95	248.73	1865.5	7052	0.383333	1.335
30.55	77.60	256.12	1920.9	7261	0.391667	1.352
31.2	79.25	263.54	1976.5	7471	0.4	1.369
31.85	80.90	270.98	2032.4	7682	0.408333	1.386
32.5	82.55	278.46	2088.4	7894	0.416667	1.403
33.15	84.20	285.95	2144.6	8107	0.425	1.420
33.8	85.85	293.46	2201.0	8320	0.433333	1.437
34.45	87.50	301.00	2257.5	8533	0.441667	1.454
35.1	89.15	308.55	2314.1	8747	0.45	1.471
35.75	90.80	316.11	2370.8	8962	0.458333	1.487
36.4	92.46	323.68	2427.6	9176	0.466667	1.504
37.05	94.11	331.27	2484.5	9391	0.475	1.521
37.7	95.76	338.86	2541.4	9607	0.483333	1.537
38.35	97.41	346.45	2598.4	9822	0.491667	1.554
39	99.06	354.05	2655.4	10037	0.5	1.571
39.65	100.71	361.64	2712.3	10253	0.508333	1.587
40.3	102.36	369.24	2769.3	10468	0.516667	1.604
40.95	104.01	376.83	2826.2	10683	0.525	1.621
41.6	105.66	384.41	2883.1	10898	0.533333	1.638
42.25	107.32	391.99	2939.9	11113	0.541667	1.654
42.9	108.97	399.55	2996.6	11327	0.55	1.671
43.55	110.62	407.10	3053.2	11541	0.558333	1.688
44.2	112.27	414.63	3109.7	11755	0.566667	1.705
44.85	113.92	422.15	3166.1	11968	0.575	1.721
45.5	115.57	429.64	3222.3	12180	0.583333	1.738
46.15	117.22	437.11	3278.3	12392	0.591667	1.755
46.8	118.87	444.56	3334.2	12603	0.6	1.772
47.45	120.52	451.98	3389.8	12814	0.608333	1.789
48.1	122.17	459.36	3445.2	13023	0.616667	1.806
48.75	123.83	466.72	3500.4	13232	0.625	1.823
49.4	125.48	474.04	3555.3	13439	0.633333	1.841
50.05	127.13	481.32	3609.9	13646	0.641667	1.858
50.7	128.78	488.57	3664.3	13851	0.65	1.875
51.35	130.43	495.77	3718.3	14055	0.658333	1.893
52	132.08	502.93	3771.9	14258	0.666667	1.911
52.65	133.73	510.03	3825.3	14459	0.675	1.928
53.3	135.38	517.09	3878.2	14660	0.683333	1.946
53.95	137.03	524.10	3930.7	14858	0.691667	1.964
54.6	138.68	531.05	3982.8	15055	0.7	1.982
55.25	140.34	537.94	4034.5	15250	0.708333	2.001
55.9	141.99	544.77	4085.7	15444	0.716667	2.019
56.55	143.64	551.53	4136.5	15636	0.725	2.038
57.2	145.29	558.23	4186.7	15826	0.733333	2.056
57.85	146.94	564.85	4236.4	16014	0.741667	2.075
58.5	148.59	571.41	4285.5	16199	0.75	2.094
59.15	150.24	577.88	4334.1	16383	0.758333	2.114
59.8	151.89	584.28	4382.1	16564	0.766667	2.133
60.45	153.54	590.59	4429.4	16743	0.775	2.153
61.1	155.19	596.81	4476.1	16920	0.783333	2.173
61.75	156.85	602.95	4522.1	17094	0.791667	2.194
62.4	158.50	608.98	4567.4	17265	0.8	2.214
63.05	160.15	614.92	4611.9	17433	0.808333	2.235
63.7	161.80	620.76	4655.7	17598	0.816667	2.257
64.35	163.45	626.48	4698.6	17761	0.825	2.278
65	165.10	632.10	4740.7	17920	0.833333	2.301
65.65	166.75	637.60	4782.0	18076	0.841667	2.323
66.3	168.40	642.97	4822.3	18228	0.85	2.346
66.95	170.05	648.22	4861.6	18377	0.858333	2.370
67.6	171.70	653.33	4900.0	18522	0.866667	2.394
68.25	173.36	658.31	4937.3	18663	0.875	2.419
68.9	175.01	663.13	4973.5	18800	0.883333	2.444
69.55	176.66	667.80	5008.5	18932	0.891667	2.471
70.2	178.31	672.31	5042.3	19060	0.9	2.498
70.85	179.96	676.65	5074.9	19183	0.908333	2.526
71.5	181.61	680.81	5106.0	19301	0.916667	2.556
72.15	183.26	684.77	5135.8	19413	0.925	2.587
72.8	184.91	688.53	5164.0	19520	0.933333	2.619
73.45	186.56	692.07	5190.5	19620	0.941667	2.654
74.1	188.21	695.37	5215.3	19714	0.95	2.691
74.75	189.87	698.41	5238.1	19800	0.958333	2.730
75.4	191.52	701.16	5258.7	19878	0.966667	2.774
76.05	193.17	703.59	5277.0	19947	0.975	2.824
76.7	194.82	705.65	5292.4	20005	0.983333	2.883
77.35	196.47	707.23	5304.2	20050	0.991667	2.959
78	198.12	708.10	5310.7	20075	1	1.000

gsuhas Guru Join Date: Dec 2007 Location: 18 29 N 73 57E Posts: 1390 Good Answers: 31	#3 Re: Volume of a Horizontal Vessel 05/21/2009 12:49 AM
	Refer Chemical Engineers Handbook by Parry. You will get a formula.
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Randall Guru Join Date: Aug 2005 Location: Hemel Hempstead, UK Posts: 5826 Good Answers: 322	#4 Re: Volume of a Horizontal Vessel 05/21/2009 5:02 AM
	This is "cheating" a lot. Instead of going to the link you've supplied, right click on it and save it to your PC. Open it, and, open a blank worksheet. Copy cells A1 to R40 from the sheet you've "stolen" to the blank worksheet. Columns OPQ should now have re-appeared with all the formulas used in the original spread sheet. I haven't got a clue how to manipulate excel the way the guy who has written the original has done: very impressive. __________________ If you spend all your time looking for people and things to complain about: trust me, you will find plenty to complain about.
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flynnstar Commentator Join Date: Feb 2008 Posts: 77 Good Answers: 5	#5 Re: Volume of a Horizontal Vessel 05/21/2009 7:30 AM
	This came up recently. One of the responders posted this link which is quite helpful to do the calculations. It has quite a flexible set of selection parameters http://vps.arachnoid.com/TankCalc/
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ba/ael Guru Join Date: Nov 2007 Location: Sherwood Park, Alberta, Canada Posts: 1212 Good Answers: 74	#6 Re: Volume of a Horizontal Vessel 05/21/2009 10:23 AM
	The volume of an ellipsoid is 4/3 * (pi) abc where a, b and c are the three different radii. When the heads are half ellipsoids, their combined volume using the notation of your reference is 4/3pia(D/2)² = piaD²/3. The volume of the cylindrical portion is piD²/4 L. The total volume is piD²(a/3 + L/4) When the heads are hemispherical, the total volume is piD²(D/6 + L/4) __________________ Bruce
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Anonymous Poster	#7 Re: Volume of a Horizontal Vessel 05/21/2009 7:59 PM
	Try this site http://www.xcalcs.com/cgi-bin/tutti/x2calcs.cgi?l=en&b=i_3_9_0&d=i_3_9_0_1
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dhayanandhan Guru Join Date: May 2008 Location: CHENNAI, TAMIL NADU, INDIA. Posts: 1851 Good Answers: 65	#8 Re: Volume of a Horizontal Vessel 08/02/2009 12:47 PM
	I have 2 formulae and I have to to search from my old books and try to furnish the same to this forum and if you send your mail Id. to me I will mark a copy to you. It is very simple formula but applicable to horizontal tank with flat end and not dished end. I could see your message to-day only. My mail Id. is sd610@rediffmail.com. Regards, DHAYANANDHAN.S, INDIA.
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Anonymous Poster	#9 Re: Volume of a Horizontal Vessel 08/20/2009 7:39 AM
	Hi you can use formula to calculate volume of dish (hemisphere) = 3.14/2 * h2 * D [ 1 - (2h/3D)] where h = height of liquid fill D= diam of vessel For shell 3.1/4d2*L
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#6 "Re: Volume of a Horizontal Vessel" by ba/ael on 05/21/2009 10:23 AM (score 1)

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Anonymous Poster (3); ba/ael (1); dhayanandhan (1); Dilip Kumar Singh (1); flynnstar (1); gsuhas (1); Randall (1)

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