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Non-Uniform Temperature Distributions

a0,0

a1,0

a2,0

.

.

.

a5,0

a0,1

a1,1

a2,1

.

.

.

a5,1

a0,2

.

.

.

a5,4

a0,5

a1,5

.

.

.

a4,5

a5,5

Type 2: Circular with Interpolated Points

Type 2 situations have Dim1_Coeffs_Points as the number of different R values, and Dim2_Coeffs_Points is the number of θ values to be gone through. In other words, Dim1_Coeffs_Points is the number of concentric circles of points on the surface, while Dim2_Coeffs_Points is the number of spokes out from the circle with temperature values on them. Again, the temperature values are listed under the Data Set. A general system would look like the following:

TracePro 5.0 User’s Manual

7.69

Technical Reference

We have n concentric circles and m spokes. All points of the form T(R1j), where

1 j m , are defining the temperature at the origin. If the values given for points of this form differ, TracePro will take the average and assign it to the origin. A type 2 data file would have the following format:

TracePro Temperature Distribution Property Data File Name C:\Tracepro\Example2.txt

TracePro Release: 2 4 0

Database Version: 2 1 0

Data generated at 09:52:39 November 16, 2001

Name

Type 2 Example

Catalog

Examples

Description

 

Type

2

Dim1_Coeffs_Pointsn

Dim2_Coeffs_Pointsm

User_Data

1

Temperatures [Kelvin] T(R1,q1)

T(R2,q1)

T(R3,q1)

.

.

.

T(Rn,q1)

T(R1,q2)

T(R2,q2)

T(R3,q2)

.

7.70

TracePro 5.0 User’s Manual

Non-Uniform Temperature Distributions

.

.

T(Rn,q2)

T(R1,q3)

.

.

.

T(Rn,qm-1) T(R1,qm) T(R2,qm) T(R3,qm)

.

.

.

T(Rn-2,qm) T(R n-1,qm) T(Rn,qm)

Type 3: Circular with Polynomial Distribution

A file for a type 3 situation will have the Dim1_Coeffs_Points as the number of Zernike R, θ coefficients, 21. Dim2_Coeffs_Points is not needed in this case, and so is assigned the value of 0. The Data Set is a list of the Zernike coefficients. This file type has the format:

TracePro Temperature Distribution Property Data File Name C:\Tracepro\Example3.txt

TracePro Release: 2 4 0

Database Version: 2 1 0

Data generated at 09:52:39 November 16, 2001

Name

Type 3 Example

Catalog

Examples

Description

 

Type

3

Dim1_Coeffs_Points21

Dim2_Coeffs_Points0

User_Data 1

Coefficients b0

b1

b2

b3

b4

TracePro 5.0 User’s Manual

7.71

Technical Reference

b5

b6

b7

b8

b9

b10

b11

b12

b13

b14

b15

b16

b17

b18

b19

b20

Type 4: Cylinder with Interpolated Points

For a type 4 situation the Dim1_Coeffs_Points is the number of Z values along the surface, and Dim2_Coeffs_Points is the number of θ values. Alternately, Dim1_Coeffs_Points could be viewed as the number of cross-sections of values, and Dim2_Coeffs_Points could be seen as the number of spokes of points at each cross-section. The Data Set is a list of temperature values. A type 4 situation would look as follows:

7.72

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

TracePro 5.0 User’s Manual

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Non-Uniform Temperature Distributions

FIGURE 7.19 - Map view of cylinder’s surface

This diagram shows n cross-sections and m spokes. A data file for this information would be:

TracePro Temperature Distribution Property Data File Name C:\Tracepro\Example4.txt

TracePro Release: 2 4 0

Database Version: 2 1 0

Data generated at 09:52:39 November 16, 2001

Name

Type 4 Example

Catalog

Examples

Description

 

Type

4

Dim1_Coeffs_Pointsn

Dim2_Coeffs_Pointsm

User_Data 1

Temperatures [Kelvin] T(Z1,q1)

T(Z2,q1)

T(Z3,q1)

.

.

.

T(Zn,q1)

T(Z1,q2)

T(Z2,q2)

T(Z3,q2)

.

TracePro 5.0 User’s Manual

7.73

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