SIST-TP CEN/CLC/TR 17603-31-09:2021

Space Engineering - Thermal design handbook - Part 9: Radiators

In this Part 9 of the spacecraft thermal control and design data handbooks, view factors of diffuse and specular thermal surfaces are discussed.
For diffuse surfaces, calculations are given for radiation emission and absorption between different configurations of planar, cylindrical, conical, spherical and ellipsoidal surfaces for finite and infinite surfaces.
For specular surfaces the affect of reflectance on calculations for view factors is included in the calculations. View factors for specular and diffuse surfaces are also included.
The Thermal design handbook is published in 16 Parts
TR 17603-31-01 Part 1
Thermal design handbook – Part 1: View factors
TR 17603-31-01 Part 2
Thermal design handbook – Part 2: Holes, Grooves and Cavities
TR 17603-31-01 Part 3
Thermal design handbook – Part 3: Spacecraft Surface Temperature
TR 17603-31-01 Part 4
Thermal design handbook – Part 4: Conductive Heat Transfer
TR 17603-31-01 Part 5
Thermal design handbook – Part 5: Structural Materials: Metallic and Composite
TR 17603-31-01 Part 6
Thermal design handbook – Part 6: Thermal Control Surfaces
TR 17603-31-01 Part 7
Thermal design handbook – Part 7: Insulations
TR 17603-31-01 Part 8
Thermal design handbook – Part 8: Heat Pipes
TR 17603-31-01 Part 9
Thermal design handbook – Part 9: Radiators
TR 17603-31-01 Part 10
Thermal design handbook – Part 10: Phase – Change Capacitors
TR 17603-31-01 Part 11
Thermal design handbook – Part 11: Electrical Heating
TR 17603-31-01 Part 12
Thermal design handbook – Part 12: Louvers
TR 17603-31-01 Part 13
Thermal design handbook – Part 13: Fluid Loops
TR 17603-31-01 Part 14
Thermal design handbook – Part 14: Cryogenic Cooling
TR 17603-31-01 Part 15
Thermal design handbook – Part 15: Existing Satellites
TR 17603-31-01 Part 16
Thermal design handbook – Part 16: Thermal Protection System

Raumfahrttechnik - Handbuch für thermisches Design - Teil 9: Radiatoren

Ingénierie spatiale - Manuel de conception thermique - Partie 9: Radiateurs

Vesoljska tehnika - Priročnik o toplotni zasnovi - 9. del: Radiatorji

General Information

• Status: Published
• Public Enquiry End Date: 19-May-2021
• Publication Date: 23-Aug-2021
• ICS: 49.140 - Space systems and operations
• Technical Committee: I13 - Imaginarni 13
• Current Stage: 6060 - National Implementation/Publication (Adopted Project)
• Start Date: 19-Aug-2021
• Due Date: 24-Oct-2021
• Completion Date: 24-Aug-2021
• Mandate: M/496 - Mandate addressed to CEN, CENELEC and ETSI to develop standardisation regarding space industry (Phase 3 of the process)
• Ref Project: CEN/CLC/TR 17603-31-09:2021 - Space Engineering - Thermal design handbook - Part 9: Radiators

Standards Content (Sample)

SLOVENSKI STANDARD
01-oktober-2021
Vesoljska tehnika - Priročnik o toplotni zasnovi - 9. del: Radiatorji
Space Engineering - Thermal design handbook - Part 9: Radiators
Raumfahrttechnik - Handbuch für thermisches Design - Teil 9: Radiatoren
Ingénierie spatiale - Manuel de conception thermique - Partie 9: Radiateurs
Ta slovenski standard je istoveten z: CEN/CLC/TR 17603-31-09:2021
ICS:
49.140 Vesoljski sistemi in operacije Space systems and
operations
2003-01.Slovenski inštitut za standardizacijo. Razmnoževanje celote ali delov tega standarda ni dovoljeno.

TECHNICAL REPORT
CEN/CLC/TR 17603-31-
RAPPORT TECHNIQUE
TECHNISCHER BERICHT
August 2021
ICS 49.140
English version
Space Engineering - Thermal design handbook - Part 9:
Radiators
Ingénierie spatiale - Manuel de conception thermique - Raumfahrttechnik - Handbuch für thermisches Design -
Partie 9 : Radiateurs Teil 9: Radiatoren

This Technical Report was approved by CEN on 21 June 2021. It has been drawn up by the Technical Committee CEN/CLC/JTC 5.

CEN and CENELEC members are the national standards bodies and national electrotechnical committees of Austria, Belgium,
Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Italy,
Latvia, Lithuania, Luxembourg, Malta, Netherlands, Norway, Poland, Portugal, Republic of North Macedonia, Romania, Serbia,
Slovakia, Slovenia, Spain, Sweden, Switzerland, Turkey and United Kingdom.

CEN-CENELEC Management Centre:
Rue de la Science 23, B-1040 Brussels
© 2021 CEN/CENELEC All rights of exploitation in any form and by any means Ref. No. CEN/CLC/TR 17603-31-09:2021 E
reserved worldwide for CEN national Members and for
CENELEC Members.
Table of contents
European Foreword . 7
1 Scope . 8
2 References . 9
3 Terms, definitions and symbols . 10
3.1 Terms and definitions . 10
3.2 Symbols . 10
4 Diffuse surfaces . 12
4.1 General . 12
4.2 Infinitesimal to finite surfaces . 13
4.2.1 Planar to planar . 13
4.2.2 Planar to spherical . 19
4.2.3 Cylindrical to spherical . 20
4.2.4 Conical to spherical . 21
4.2.5 Spherical to spherical . 23
4.2.6 Ellipsoidal to spherical . 25
4.2.7 Planar to conical . 28
4.3 Finite to finite surface . 31
4.3.1 Planar to planar. Two-dimensional configurations . 31
4.3.2 Planar to planar. Three-dimensional configurations. 35
4.3.3 Planar to cylindrical. Two-dimensional configurations . 46
4.3.4 Planar to cylindrical. three-dimensional configurations . 48
4.3.5 Planar to conical . 54
4.3.6 Spherical to planar . 56
4.3.7 Cylindrical to cylindrical. two-dimensional configurations . 62
4.3.8 Cylindrical to cylindrical. axisymmetrical configurations . 64
4.3.9 Spherical to cylindrical . 69
4.3.10 Conical to conical . 72
4.3.11 Conical to spherical . 72
4.3.12 Spherical to spherical . 77
4.4 Additional sources of data . 80
5 Specular surfaces . 103
5.1 General . 103
5.2 Two planar specular surfaces . 105
5.2.1 Two-dimensional configurations . 105
5.2.2 Parallel, directly opposed rectangles of same width and length . 109
5.2.3 Rectangles of same width and length with one common edge . 115
5.3 Planar specular and planar diffuse surface . 118
5.3.1 Two dimensional cavities. Cylinders of quadrangular cross section . 118
5.4 Non-planar specular surfaces . 123
5.4.1 Concentric cylinder or concentric spheres . 123
Bibliography . 125

Figures
Figure 4-1: Geometric notation for view factors between diffuse surface. . 13
Figure 4-2: Values of F as a function of x and y. From Hamilton & Morgan (1952) [15]. . 15
Figure 4-3: Values of F as a function of x and y. From Hamilton & Morgan (1952) [15] . 17
Figure 4-4: F vs. H for different values of dH. Infinitesimal surface to very thin coaxial
annulus with finite radius. Calculated by the compiler. 18
Figure 4-5: Values of F vs. λ for different values of H. The analytical expression (case
I) is only valid in the shadowed region. Calculated by the compiler. . 19
Figure 4-6: Values of F as a function of H and λ. Calculated by the compiler. . 20
Figure 4-7: Values of F as a function of H and λ, for δ = 10°. Calculated by the
compiler. . 21
Figure 4-8: Values of F as a function of H and λ, for δ = 30°. Calculated by the
compiler. . 22
Figure 4-9: Values of F as a function of H and λ, for δ = 50°. Calculated by the
compiler. . 22
Figure 4-10: Values of F as a function of H and λ, for δ = 80°. Calculated by the
compiler. . 23
Figure 4-11: F as a function of H in the case of an infinitesimal sphere viewing a finite
sphere. Calculated by the compiler. . 24
Figure 4-12: F as a function of angle λ for different values of the dimensionless
distance H. Calculated by the compiler. . 25
Figure 4-13: F as a function of λ and H, for A = 0,5. Calculated by the compiler. . 26
Figure 4-14: F as a function of λ and H, for A = 1,5. Calculated by the compiler. . 27
Figure 4-15: F as a function of λ and H, for A = 2. Calculated by the compiler. . 27
Figure 4-16: Values of F vs. M for different values of L. Configuration 1, β = 10°.
Calculated by the compiler. . 29
Figure 4-17: Values of F12 vs. M for different values of L. Configuration 1, β = 20°.
Calculated by the compiler. . 29
Figure 4-18: Values of F vs. M for different values of L. Configuration 2, β = 10°.
Calculated by the compiler. . 30
Figure 4-19: Values of F vs. M for different values of L. Configuration 2, β = 20°.
Calculated by the compiler. . 30
Figure 4-20: Values of F as a function of X and Y, for Z = 0. Calculated by the
compiler. . 33
Figure 4-21: Values of F as a function of X and Y, for Z = 0,5. Calculated by the
compiler. . 33
Figure 4-22: Values of F as a function of X and Y, for Z = 1. Calculated by the
compiler. . 34
Figure 4-23: Values of F as a function of X and Y, for Z = 2. Calculated by the
compiler. . 34
Figure 4-24: Values of F as a function of X and Y, for Z = 5. Calculated by the
compiler. . 35
Figure 4-25: Values of F12 as a function of X and Y. Calculated by the compiler. . 36
Figure 4-26: F as a function of L and N for Φ = 30°. Table from Feingold (1966) [11],
figure from Hamilton & Morgan (1952) [15]. . 39
Figure 4-27: F as a function of L and N for Φ = 60°. Table from Feingold (1966) [11],
figure from Hamilton & Morgan (1952) [15]. . 39
Figure 4-28: F as a function of L and N for Φ = 90°. Table from Feingold (1966) [11],
figure from Hamilton & Morgan (1952) [15]. . 40
Figure 4-29: F as a function of L and N for Φ = 120°. Table from Feingold (1966) [11],
figure from Hamilton & Morgan (1952) [15]. . 40
Figure 4-30: F as a function of L and N for Φ = 150°. Table from Feingold (1966) [11],
figure from Hamilton & Morgan (1952) [15]. . 41
Figure 4-31: Values of F as a function of L for different regular polygons. n is the
number of sides of the polygon. From Feingold (1966) [11]. . 43
Figure 4-32: View factors between different faces of a honeycomb cell as a function of
the cell length, L. From Feingold (1966) [11]. . 44
Figure 4-33: Values of F as a function of R and R in the case of two parallel coaxial
12 1 2
discs. Calculated by the compiler. . 46
Figure 4-34: Values of F and F as a function of the parameter K. From Jakob (1957)
12 13
[19]. . 48
Figure 4-35: F as a function of T and R. Calculated by the compiler. . 49
Figure 4-36: F as a function of T and R. Calculated by the compiler. . 50
Figure 4-37: F as a function of T and R. Calculated by the compiler. . 50
Figure 4-38: F as a function of Z, for different values of the dimensionless radius R.
Calculated by the compiler. . 52
Figure 4-39: F as a function of R for different values of the sector central angel α.
12 2
Calculated by the compiler. . 57
Figure 4-40: F as a function of Z for different values of R . Calculated by the compiler. . 58
12 2
Figure 4-41: F from a sphere to both sides of a coaxial intersecting disc, vs. H, for
different values of R. Calculated by the compiler. . 59
Figure 4-42: F12 from a sphere to the upper side of a coaxial intersecting disc, vs. H (-
1 ≤H≤ 1), for different values of R. Calculated by the compiler. . 59
Figure 4-43: Values of F as a function of Z and R. Calculated by the compiler. . 60
Figure 4-44: F12 as a function of x in the case of two infinitely long parallel cylinders of
the same diameter. Calculated by the compiler. . 64
Figure 4-45: Plot of F vs. L for different values of R. From Hamilton & Morgan (1952)
[15] .
...