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A study of heat transfer for single and double layer inclined synchrotron radiation absorbers

Untersuchung der Wärmeübertragung bei Ein- und Zweischicht-Schrägabsorbern für Synchrotron-Strahlung

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Abstract

The heat transfer phenomena for single and double layer inclined absorbers which absorb synchrotron radiation has been studied using analytical and numerical methods. Photon penetration through the metal layers has been included and the effects of the spectral variation of the absorption coefficients and variable thermal conductivities have been examined. Different thickness ratios and inclination angles have been studied for double layer absorbers and it has been shown that double layer inclined absorbers significantly reduce the peak temperatures.

Zusammenfassung

Das Wärmeübertragungsphenomen bei Synchrotron-Strahlung absorbierenden Ein- und Zweischicht-Schrägabsorbern wurde mit Hilfe von analytischen und numerischen Verfahren untersucht. Die Durchdringung der Metallschichten von Photonen ist auch Teil der Studie gewesen, und die Wirkungen der Spektralvariation der Absorptionskoeffizienten und variablen Wärmeleitfähigkeiten wurden erforscht. Es wurden unterschiedliche Dickenverhältnisse und Neigungswinkel für Zweischicht-Absorber untersucht, und es wird gezeigt, daß Zweischicht-Schrägabsorber die Spitzentemperaturen wesentlich reduzieren.

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Abbreviations

a :

thickness of the plate

B :

Magnetic field

b :

length of the plate

C :

5424E 4 BI/l 2

E :

electron beam energy

e :

photon energy

e c :

critical photon energy

f :

heat generation

h :

heat transfer coefficient

I :

electron beam current

I o :

synchrotron radiation intensity

i :

√−1

k :

thermal conductivity

l :

distance from the radiation source

T :

temperature

T:

tesla, unit for magnetic field

w :

width of the photon projection

x :

coordinate along the depth of the plate

y :

coordinate along the length of the plate

y*:

y + b/2

y′:

coordinate perpendicular to photon path

z :

complex transformed coordinate

α :

absorption coefficient

γ :

ratio of electron beam energy to its rest energy, 1957E

η :

e/e c

ϑ :

angle

λ :

wavelength

λ m :

eigen value

ψ :

vertical opening angle =y′/l

1:

first layer of plates

2:

second layer of plates

c:

critical

t:

total

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  1. Advanced Photon Source Division, Argonne National Laboratory, 9700 S. Cass Av., 60439, Argonne, IL, USA

    M. Choi

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  1. M. Choi
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Choi, M. A study of heat transfer for single and double layer inclined synchrotron radiation absorbers. Wärme - und Stoffübertragung 26, 109–119 (1991). https://doi.org/10.1007/BF01590244

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  • DOI: https://doi.org/10.1007/BF01590244

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