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CHAPTER 49
1960 Guide
the footnotes to Table 3. Briefiy, enow-melting systems are /Oftgafwl as to the urgency for melting as follows:
CUan I (minimum): Residential walks or driveways and interpl&nt areaways.
film II (moderate): Commercial (stores and offices) side walks and driveways, and steps of hospitals.
Class III (maximum): Toll pl&xas of highways and bridges, and aprons and loading areas of airports.
These classifications depend upon the allowable rate of
snow melting- For example, a residential system does not
have to melt snow as rapidly as a commercial system. In
fact, a depth of snow of an inch, for an hour or so during a
heavy storm might not be objectionable with a residential
system. On the other hand, a store manager would consider
the system inadequate if half an inch of snow accumulated
on the sidewalk in front of the store. The difference, then,
between a Class I system and a Class II system is in the
required ability of aeh system to melt snow. The one feature
that is common to all
is that the systems must be
adequate for some combination of weather factors. The
Hp-gignpr may select equipment having capacity to melt snow
whenever condition!? are milder *hm some critical values, but
be willing to have an inadequate system for a given fraction
of the time. In other words, the designer will take a calculated
risk providing he knows the odds of that risk. For a residential
system, where initial cost must be at a minimum, the designer
must accept more frequent snow accumulations. -
Table 3 contains the design heat requirements for the 3
rlnsarei of snow-melting systems. Under Class I systems, the
values in parentheses are idling rata and, since they exceed
the Class I design rates, should be taken as design output for
this classification. Design rates may be altered by the de
signer if he feels that a particular job should have different
design criteria from those given in the footnotes of Table 3.
Any change in Hp-sign conditions used should be based on the
frequency distribution given in Table 1.
Use of Tables 1, 3,.and 4 is illustrated by Example 1.
Example 1: An engineer has been retained to design snow melting systems for the service areas of a turnpike running from the eastern edge of the Wisconsin-UJinois border north west to the Wisconsin-Mmnesota border just east of St. Paul. He decides that Chicago data will be adequate for the southern terminus and that Minneapolis-St. Paul data will be adequate for the northern terminus. Hi problem is to determine the beat and hydraulic requirements of the systems for service areas between Chicago and St. Paul.
Solution: Assume, for this example, that the city in question is Madison, Wis. Weather bureau records indicate that the annual average number of days with snow cover of an inch or more would be 100, and that the engineer can assume an aver age snowfall of 40 inches. In addition, he can estimate about 11 days per year with a snowfall of an inch or more (see Refer ence 3).
For the walkways to the restaurant from the parking area a Class I design rate could be used. This rate could be taken as 90 Btuh per sq ft. This is in good agreement with data in Tables 3 and 4 which give the rate at 89 (design rate) for Chicago and 95 (idling rate) for Minneapolis.
The lanes leading from the turnpike to the gasoline pumps and parking areas should be rated as Class II areas. A check of Tables 1 and 3 would indicate that 160 Btuh per sq ft would be adequate.
If an emergency area were included, for a wrecking truck, ambulance, or police garage, it would be wise to consider a Class 111 rate for such areas- An inspection of Table 1 for Chicago shows that a rate of 275 Btuh per sq ft would be ade-
Table 5 .... Physical Properties of Antifreeze Solutions*
_ .. frsszinp
rflp. f
-20 0
rr 'J _ 20 40 120 140 160 200
Ethylene Glycol 15.3% by vol.
Ethylene Glycol 31.4% by vol.
Ethylene Glycol 42.7% by vol.
Ethylene Glycol 51.2% by vol.
+20 0
-20 -40
V X 10* c to
r X 10* c w
W X 10* c w
r X 10*
u
-- _ _ 2.64 0.840 0.687 0.577 0.458 -- -- -- 0.935 0.956 0.960 0.962 0.969
-- -- 64.0 62.8 62.5 62.1 58.8
__ _ 6.86 4.18 1.19 0.955 0.784 0.609 -- -- 0.833 0.850 0.895 0.905 0.910 0.923 -- -- 65.7 65.4 64.1 63.7 63.3 60.0
__ 16.1
9.47 5.75 1.46 1.20 0.950 0.748
-- 0.764 0.775 0.788 0.832 0.845 0.856 0.884
-- 66.8 66.7 66.3 65.3 64.9 64.4 60.6
46.3 0.682 68.2 '
21.3 0.717
67.6
12.13 0.726 67.4
7.54
0-745 67.2
1.77 0.809 65.9
1.46 0.823 65.4
1.14 0.835 65.0
0.870 0.854 61.1
Heat Transfer Oil Water
-40
r X 10* 105
43.1 29.7 14.0
3.13 2.51 2.06 1.48
0.3S2 0.390 0.400 0.408 0.444 0.452 0.462 0.480
to
62.9
62.5 62.0 61.6 59.1 58.6 57.6 55.3
+32 F X 10* _ _ _ 1.71 0.603 0.494 0.413 0.328
-- -- -- 1.005 0.999 0.999 1.001 1.005
to " -- -- 62.4 61.7 61.4 61.0 60.1 '
a--a on dtt* fiTcn ia Befereocs t. r KinmetK viseositj, (feet squared per second) (m- far oil et 40 F, s * 0400140 ft* per tee.).
e - mafic heat, Bta per (pound) (Fahrenheit decree)* " specific weight, pounds per cubic foot.
I
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Soow Melting
quate for A, TM 1 for 99.4 percent of the time. Similarly, 275 would be adequate 99.4 percent of the time in St. Paul. There fore, 275 Btun per sq ft seems sufficient for the emergency areas. Table 3 in Class III column lists 350 Btuh per sq ft for Chicago and 254 for St. Paul but for uses similar to the areas in this example, 275 should be adequate.
Hydraulic Requirement
After determining the heating requirements, it is necessary to determine the hydraulic requirements of the system. This can be done by means of the procedures explained in Chapter 4, Fluid Flow, but it is necessary to use the proper physical properties of the antifreeze solution. A complete discussion of the hydraulic problem is given in Reference 4.
The main consideration is the proper allowance for vis cosity. Table 5 gives viscosities for typical fluids used as
Table 6 .... Conversion of Kinematic Viscosity Units*
Ceob'doket
W/Se4X 0*
SSU*
Cenf/Woke*
(H*/S*c) X 10*
SSU*
2
2.15
32.6
31
33.4
145.7
2.5
2.69
36.0
32
34.4
150.2
3
3.23
36.0
33
35.5
154.7
3-5
3.77
37.6
34
36.6
159.2
4
4.30
39.1
35
37.7
163.7
4.5
4.84
40.8
5.
5.38
42.4
6
6.46
45.6
36
38.7
168.2
7
7.53
48.8
37
39.8
172.7
8
8.61
52.1
38
40.9
177.3
9
9.68
55.5
39
42.0
181-8
10
10.8
58.9
40
43-0
186.3
11
11.8
62.4
41
44.1
190.8
12
12.9
66.0
42
45.2
195.3
13
14.0
69.8
43
46.3
199.8
14
15.1
73.6
44
47.3
204.4
15
16.1
77.4
45
48.4
209.1
16
17.2
81.3
46
49.5
213.7
17
18.3
85.3
47
50.6
218.3
18
19.4
89.4
48
51.6
222.9
19
20.4
93.6- ' 49
52.7
227.5
20
21.5
97.8
50
53.8
232.1
21
22.6
102.0
55
59.2
255.2
22
23.7
106.4 60
64.6
278.3
23
24.7
110.7
65
69.9
301.4
24
25.8
115.0
70
75.3
324.4
25
26.9
119.3
26
28.0
123.7
27
29.1
128.1
28
30.1
132.5
29
31.2
136.9
30
32.3
141.3
Over 704 centistokes. SSU - 4.6SS X centistoke*. * Kinematic vboositr ia Ityaee -- ]47> X lff~ X eeaiistoke*. b Value* lined for SSU (Saybdt Second*--Universal) are for fluid temperaUvea of 100 F. To obtain the Stybolt Universal viscosity equivalent to a kinematie viscosity determined at a Fahrenheit temperature t, multiply the equiva lent Saybolt Universal viscosity at 100 F by 1 + <; -- 100)0400004; for example, 10 eeatistoke* at SI0 Fare equivalent to 5S.0 X 14)070 69J see Saybolt Universal at 210 F. (Taken from ASTM D 446 - 63.)
695
antifreezes for snow-melting systems. Viscosities are given in feet squared per second. Table 6 can be used in conversion of viscosity units. A large increase in viscosity will be noted for glycols and oils--about 20 times--as the fluid temperature changes from 160 F to 0 F. This viscosity change hag two effects. First, an increase in viscosity will increase the fluid friction in the piping circuit. Second, an increase in viscosity will decrease the pump capacity--in both volume and head. The effect of viscosity on fluid friction in the piping circuit is illustrated in Fig. 2.
For large installations, the friction losses should be cal culated by the Fanning equation
where hf = the loss io head of the fluid under conditions of flow, in feet. I " the length of the pipe, in feet. V " the velocity, in feet per second. g = the acceleration due to gravity = 32.174 ft per (second) (second). D = the interna) diameter of the pipe in feet. / = a dimensionless friction coefficient whicb can be de termined from Fig. 4, Chapter 4. The Reynolds num ber can be computed from data in Table 5 of this chap, ter. Solutions for the pipe friction should be plotted for tem
peratures at the starting condition (probably 0 F) and at the operating condition (use either 120 or 160 F). Then on the same graph, the operating curve of the pump should be plotted (see Reference 4 for such a graph). The intersection of the fluid friction curve and pump operating curve will give the operating point for the system. Table 7 can be used to allow for the viscosity offset on the pump.
The designer must decide on tile tolerable viscosity limit. Generally it is between 300 and 500 SSU, although for
(For I-ta. Pipe) Fig. 2 .... Effect of Viscosity on Friction Loss