Carlon Determining the Number of Innerducts Contained in User Manual download pdf

Determining the Number of Innerducts Contained in Outerducts

Outerducts enclosing a given number of innerducts based on volume. --four of many

possible compact arrangements of circles within a circle are shown at A, B, C, and D in

Fig. 1.

1. Arrangements of Center of Core Innerducts: the four most common arrangements of

center or core innerducts are shown cross-sectioned in Fig 1. It may seem that the “A”

pattern would require the smallest enclosing outerduct for a given number of enclosed

innerducts, but this is not always the case since the most compact arrangement will, in part,

depend on the number of innerducts to be enclosed.

ABC D

Fig. 1

2. Diameter of Enclosing Outerduct: Successive, complete layers of innerducts may be

placed around each of the central cores, Fig. 1, of 1, 2, 3, or 4 innerducts as the case may be.

The number of innerducts contained in arrangements of complete layers around a central core

of innerducts, as well as the diameter of the enclosing outerducts, may be obtained using the

data in Table 1.

Thus, for example, the “A” pattern in Fig. 1 shows by actual count, a total of 19

innerducts arranged in two complete “layers” around a central core consisting of one

innerduct. This agrees with the data shown in the left half of table 1 for n = 2

To determine the diameter of the enclosing outerduct, the data in the right half of

Table 1 is used. Thus, for n = 2 and an “A” pattern, the diameter D is 5 times the

diameter d of the enclosed innerducts.

3. Number of Innerducts, N, Enclosed by an Outerduct: The diameters of innerduct

and outerduct are already known and use the data in the left half of Table 1 is used.

Thus, for example, if D = 16” and d = 1.66”, and an “A” pattern, we would divide

16/1.66 (D/d) which gives an answer of 9.64. Truncating the decimal portion gives 9.

Therefore, D is 9 times larger than d (D= 9d). Look in the right half of Table 1 and

find in the “A” pattern the value “9d.” Follow the row across to the “A” pattern in the left

half of the table to obtain the No. of innerducts, which is 61.

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Page 1 - Fig. 1

Determining the Number of Innerducts Contained in OuterductsOuterducts enclosing a given number of innerducts based on volume. --four of manypossible

Page 2

Determining the Number of Innerducts Contained in OuterductsTable 1. Number of Circles, n, Contained in Complete Layers of Circles and Diameter ofEncl

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Determining the Number of Innerducts Contained in OuterductsOuterducts enclosing a given number of innerducts based on complexity of run.The volume fi

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