For nearly 150years, the cross section of the heat collection tubes used at the focus of parabolic trough solar concentrators has been circular. This type of tube is obviously simple and easily fabricated, but it is not optimal. It is shown in this article that the optimal shape, assuming a perfect parabolic figure for the concentrating mirror, is instead oblong and is approximately given by a pair of facing parabolic segments.

1.
Church
,
W. C.
, 1890,
The Life of John Ericsson
,
Charles Scribner’s Sons
,
New York
, Vol.
II
, p.
265
.
2.
Church
,
W. C.
, 1890,
The Life of John Ericsson
,
Charles Scribner’s Sons
,
New York
, Vol.
II
, p.
269
.
3.
Price
,
H.
, “
Concentrating Solar Power Systems Analysis and Implications
,” slide 39, available at http://www1.eere.energy.gov/solar/pdfs/3solar_henryprice.pdfhttp://www1.eere.energy.gov/solar/pdfs/3solar_henryprice.pdf
4.
Ries
,
H.
, and
Spirkl
,
W.
, 1995, “
Caustic and Its Use in Designing Optimal Absorber Shapes for 2D Concentrators
,” in
Nonimaging Optics: Maximum Efficiency Light Transfer III
, (
SPIE Proceedings
Vol.
2538
),
R.
Winston
, ed., pp.
2
9
.
5.
Cobble
,
M. H.
, 1961, “
Theoretical Concentrations for Solar Furnaces
,”
Sol. Energy
0038-092X,
5
, pp.
61
72
.
6.
Wendelin
,
T.
, 2006, “
Parabolic Trough VSHOT Optical Characterization in 2005-2006
,” presented at the
2006 Parabolic Trough Technology Workshop in Incline Village
, NV, available from the website: www.eere.energy.gov/troughnet/2006_parabolic_trough_tech_workshop.htmlwww.eere.energy.gov/troughnet/2006_parabolic_trough_tech_workshop.html
7.
Bendt
,
P.
,
Rabi
,
A.
,
Gaul
,
H. W.
, and
Reed
,
K. A.
, 1979, “
Optical Analysis and Optimization of Line Focus Solar Collectors
,”
Solar Energy Research Institute
, Report No. TR-34-092, especially see Eqs. (2)–(18) on p.
11
.
You do not currently have access to this content.