8) Cylindrical tank 1 ft in diameter discharges through a nozzle connected to the base. Find the time needed for the water level in the tank to drop from 4 ft to 2 ft above the nozzle. The diameter of the nozzle is 1 inch and its discharge coefficient maybe taken as unity.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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8) Cylindrical tank 1 ft in diameter discharges through a nozzle connected to the base. Find the
time needed for the water level in the tank to drop from 4 ft to 2 ft above the nozzle. The
diameter of the nozzle is 1 inch and its discharge coefficient maybe taken as unity.
Transcribed Image Text:8) Cylindrical tank 1 ft in diameter discharges through a nozzle connected to the base. Find the time needed for the water level in the tank to drop from 4 ft to 2 ft above the nozzle. The diameter of the nozzle is 1 inch and its discharge coefficient maybe taken as unity.
10-78
TRANSPORT AND STORAGE OF FLUIDS
TABLE 10-22 Properties of Steel Pipe
Circumference,
ft, or surface,
ft/ft of length
DEVELOPED HEAD:
Capacity at 1-ft/s
velocity
Bernoulli Equation:
Cross-sectional area
Outside
diameter,
Inside
diameter,
Weight of
plain-end
pipe, Ib/ft
Nominal
Wall
(P2 , a2V?
+ 22
(P1 , a1V?
pipe
size, in
Schedule
thickness,
Metal,
in?
U.S. gal/
Притр Wритр
+ z1
g
in
no.
in
in
Flow, ft
Outside
Inside
min
Ib/h water
+
2gc
go
2gc
gc
0.307
.269
.215
0.00051
.00040
.00025
0.231
.179
.113
0.106
0.0804
.0705
.0563
115.5
89,5
56.5
0.405
10S
0.049
0.055
0.19
.068
.095
.072
.093
40ST, 40S
.24
.31
.106
80XS, 80S
.106
The quantities in parenthesis are called TOTAL HEADS and are denoted by H.
.097
.00092
.00072
.00050
.412
.323
.224
14
0.540
.065
.107
.095
.079
206.5
161.5
112.0
33
.42
10S
410
.141
40ST, 40S
80XS, 80S
.364
.302
.088
.125
.157
.141
ΔΗ
.119
.141
.54
Therefore:
W,
.00162
.00133
.00098
0.675
10S
40ST, 40S
80XS, 80S
.177
.177
.177
.065
.727
.545
.493
.423
.125
.167
.217
.143
.129
363.5
298.0
220.0
.42
57
.091
.596
.126
.111
.440
.74
POWER REQUIREMENT:
.710
.674
.622
.546
.464
.252
1.234
1.112
0.945
0.730
0.527
0.155
1/2
065
617.0
556.0
472.0
365.0
263.5
77.5
0.840
5S
10S
40ST, 40S
80XS, 80S
160
XX
.158
.197
.250
.320
.385
.504
.00275
.00248
220
220
.220
.220
220
.186
.176
.163
.54
.083
.109
.147
.188
.294
EDIFICA
.67
.85
1.09
1.31
1.71
P3 = m Wp
= m AH
Pt
.00211
.00163
.00117
.00035
.143
122
.066
.220
34
1.050
where:
5S
10S
40ST, 40S
80XS, 80S
160
XX
.065
.083
.113
.920
.884
.824
.742
.612
.434
.201
.252
.333
.433
.572
.718
.00461
.00426
.00371
.00300
.00204
.00103
.275
.275
.275
.275
.275
.275
.241
.231
.216
.194
.160
.114
2.072
1.903
1036.0
951.5
832.5
672.5
458.5
230.5
0.69
0.86
1.13
1.47
1.94
2.44
Pa, Po = pressure at the suction and discharge lines
V = velocity
H = total head
PB = the power supplied to the pump
Z = height above the datum plane
Pi = the power delivered to the fluid
1.665
1.345
0.917
0.461
.154
219
.308
1725
1473
1345
1120
812.5
439.0
1.315
.065
.109
.133
.179
250
.358
.00768
.00656
.00600
.00499
.00362
1
5S
10S
1.185
1.097
1.049
0.957
0.815
0.599
.255
.413
.494
.639
.344
.344
.344
.344
.344
.344
.310
.287
.275
250
.213
.157
3.449
2.946
2.690
2.240
1.625
0.878
0.87
1.40
40ST, 40S
80XS, 80S
160
XX
1.68
2.17
2.84
3.66
.836
1.076
.00196
NPS versus DN
Pipes are idertified by "nominal"o "trade" names that are loosely related to the cctual
dimensions. For instance, a 2-inch galvanized steel pipe hcs an inside diameter of about 2
1/8 inches and an outside diameter of about 2 5/8 inches.
In plumbing pipe size is referred to as nominal pipe size - NPS, or "Nominal Pipe Size". The
metric equivalent is called DN or "diametre nominel". The metric designations conform to
International Organization for Standardization (ISO] usage and apply to all plumbing,
nulurul gus, heuling oil, und miscelluneous pipiny used in buildings.
Diameter
Nominal
DN
(mm)
Nominal
Pipe Size
NPS
(inches)
Diameter
Nominal
DN
Nominal
Pipe Size
NPS
(inches)
1 1/4
1 1/2
Diameter
Nominal
DN
(mm)
Naminal
Pipe Size
NPS
(inches)
(mm)
1/8
32
100
1
8
1/4
40
150
10
3/8
50
200
8
15
1/2
65
2 1/2
250
10
20
3/4
80
3
300
12
25
1
100
4
350
14
||
Transcribed Image Text:10-78 TRANSPORT AND STORAGE OF FLUIDS TABLE 10-22 Properties of Steel Pipe Circumference, ft, or surface, ft/ft of length DEVELOPED HEAD: Capacity at 1-ft/s velocity Bernoulli Equation: Cross-sectional area Outside diameter, Inside diameter, Weight of plain-end pipe, Ib/ft Nominal Wall (P2 , a2V? + 22 (P1 , a1V? pipe size, in Schedule thickness, Metal, in? U.S. gal/ Притр Wритр + z1 g in no. in in Flow, ft Outside Inside min Ib/h water + 2gc go 2gc gc 0.307 .269 .215 0.00051 .00040 .00025 0.231 .179 .113 0.106 0.0804 .0705 .0563 115.5 89,5 56.5 0.405 10S 0.049 0.055 0.19 .068 .095 .072 .093 40ST, 40S .24 .31 .106 80XS, 80S .106 The quantities in parenthesis are called TOTAL HEADS and are denoted by H. .097 .00092 .00072 .00050 .412 .323 .224 14 0.540 .065 .107 .095 .079 206.5 161.5 112.0 33 .42 10S 410 .141 40ST, 40S 80XS, 80S .364 .302 .088 .125 .157 .141 ΔΗ .119 .141 .54 Therefore: W, .00162 .00133 .00098 0.675 10S 40ST, 40S 80XS, 80S .177 .177 .177 .065 .727 .545 .493 .423 .125 .167 .217 .143 .129 363.5 298.0 220.0 .42 57 .091 .596 .126 .111 .440 .74 POWER REQUIREMENT: .710 .674 .622 .546 .464 .252 1.234 1.112 0.945 0.730 0.527 0.155 1/2 065 617.0 556.0 472.0 365.0 263.5 77.5 0.840 5S 10S 40ST, 40S 80XS, 80S 160 XX .158 .197 .250 .320 .385 .504 .00275 .00248 220 220 .220 .220 220 .186 .176 .163 .54 .083 .109 .147 .188 .294 EDIFICA .67 .85 1.09 1.31 1.71 P3 = m Wp = m AH Pt .00211 .00163 .00117 .00035 .143 122 .066 .220 34 1.050 where: 5S 10S 40ST, 40S 80XS, 80S 160 XX .065 .083 .113 .920 .884 .824 .742 .612 .434 .201 .252 .333 .433 .572 .718 .00461 .00426 .00371 .00300 .00204 .00103 .275 .275 .275 .275 .275 .275 .241 .231 .216 .194 .160 .114 2.072 1.903 1036.0 951.5 832.5 672.5 458.5 230.5 0.69 0.86 1.13 1.47 1.94 2.44 Pa, Po = pressure at the suction and discharge lines V = velocity H = total head PB = the power supplied to the pump Z = height above the datum plane Pi = the power delivered to the fluid 1.665 1.345 0.917 0.461 .154 219 .308 1725 1473 1345 1120 812.5 439.0 1.315 .065 .109 .133 .179 250 .358 .00768 .00656 .00600 .00499 .00362 1 5S 10S 1.185 1.097 1.049 0.957 0.815 0.599 .255 .413 .494 .639 .344 .344 .344 .344 .344 .344 .310 .287 .275 250 .213 .157 3.449 2.946 2.690 2.240 1.625 0.878 0.87 1.40 40ST, 40S 80XS, 80S 160 XX 1.68 2.17 2.84 3.66 .836 1.076 .00196 NPS versus DN Pipes are idertified by "nominal"o "trade" names that are loosely related to the cctual dimensions. For instance, a 2-inch galvanized steel pipe hcs an inside diameter of about 2 1/8 inches and an outside diameter of about 2 5/8 inches. In plumbing pipe size is referred to as nominal pipe size - NPS, or "Nominal Pipe Size". The metric equivalent is called DN or "diametre nominel". The metric designations conform to International Organization for Standardization (ISO] usage and apply to all plumbing, nulurul gus, heuling oil, und miscelluneous pipiny used in buildings. Diameter Nominal DN (mm) Nominal Pipe Size NPS (inches) Diameter Nominal DN Nominal Pipe Size NPS (inches) 1 1/4 1 1/2 Diameter Nominal DN (mm) Naminal Pipe Size NPS (inches) (mm) 1/8 32 100 1 8 1/4 40 150 10 3/8 50 200 8 15 1/2 65 2 1/2 250 10 20 3/4 80 3 300 12 25 1 100 4 350 14 ||
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