Table 7 PTC optimum performance.

From: Multiobjective design optimization of parabolic trough collectors

Type

Fluid

Design point

\(\left({\eta }_{th},{\eta }_{ex}\right)\%\)

\(\frac{\left({\eta }_{th}+{\eta }_{ex}\right)}{2}\%\)

Liquids

\({m}^{o}=2\frac{\mathrm{kg}}{\mathrm{s}}\)

Pressurized water

\(\left(1.004, \mathrm{1.135,0.863,1.013,1.083,1.191}\right)\)

\(\left(79.97, 1.17\right)\)

40.57

\(\left(1.607, \mathrm{1.002,0.907,0.833,1.106,1.093}\right)\)

\(\left(78.99, 32.32\right)\)

55.655

\(\left(1.797, \mathrm{0.995,0.936,1.084,1.015,1.054}\right)\)

\(\left(77.85, 37.29\right)\)

57.57

Therminol VP-1

\(\left(1.002, \mathrm{1.041,0.845,0.895,0.886,0.916}\right)\)

\(\left(79.85, 2.23\right)\)

41.04

\(\left(1.7, \mathrm{1.014,0.823,0.863,0.854,0.862}\right)\)

\(\left(78.52, 35.26\right)\)

56.89

\(\left(1.899, \mathrm{0.938,1.067,1.008,1.009,0.94}\right)\)

\(\left(77.32, 39.68\right)\)

58.5

Molten solar salt

\(\left(1.727, \mathrm{0.977,0.923,0.904,1.019,0.995}\right)\)

\(\left(78.12, 35.99\right)\)

57.055

\(\left(2.245, \mathrm{0.951,1.094,0.869,1.165,1.073}\right)\)

\(\left(75.04, 45.06\right)\)

60.05

\(\left(2.608, \mathrm{0.93,1.077,0.877,1.14,1.035}\right)\)

\(\left(71.11, 47.34\right)\)

59.225

Liquid Sodium

\(\left(1.206, \mathrm{0.966,1.049,0.939,0.987,0.919}\right)\)

\(\left(79.75, 16.11\right)\)

47.93

\(\left(2.333, \mathrm{1.099,1.164,0.824,0.959,0.883}\right)\)

\(\left(74.98, 46.47\right)\)

60.725

\(\left(2.755, \mathrm{1.099,1.164,0.819,0.9588,0.8826}\right)\)

\(\left(70.25, 48.37\right)\)

59.31

Syltherm 800

\(\left(1.402, \mathrm{1.087,0.826,0.808,0.903,0.942}\right)\)

\(\left(79.44, 25.22\right)\)

52.33

\(\left(1.863, \mathrm{1.087,0.8258,0.803,0.905,0.943}\right)\)

\(\left(78.05, 39.21\right)\)

58.63

\(\left(2.093, \mathrm{1.099,0.8309,0.825,0.903,0.953}\right)\)

\(\left(76.76, 43.35\right)\)

60.055

Gases

\({m}^{o}=0.2\frac{\mathrm{kg}}{\mathrm{s}}\)

Air

\(\left(1.501, \mathrm{0.967,0.924,0.97,1.0114,0.999}\right)\)

\(\left(76.06, 36.49\right)\)

56.275

\(\left(1.962, \mathrm{0.968,0.919,0.97,1.0177,1.008}\right)\)

\(\left(72.02, 42.96\right)\)

57.49

\(\left(2.256, \mathrm{0.969,0.916,0.967,1.021,1.012}\right)\)

\(\left(68.34, 44.35\right)\)

56.345

Carbon dioxide

\(\left(1.0615, \mathrm{0.945,0.956,0.9196,1.062,1.014}\right)\)

\(\left(77.71, 23.98\right)\)

50.845

\(\left(1.844, \mathrm{0.954,0.9055,0.885,1.084,1.049}\right)\)

\(\left(73.54, 42.04\right)\)

57.79

\(\left(2.335, \mathrm{0.8296,1.089,0.86,1.182,0.966}\right)\)

\(\left(68.33, 44.74\right)\)

56.535

Helium

\(\left(1.203, \mathrm{1.0797,1.055,1.0699,1.0599,1.118}\right)\)

\(\left(79.49, 18.62\right)\)

49.055

\(\left(2.117, \mathrm{1.105,0.998,0.882,1.12,1.154}\right)\)

\(\left(75.56, 44.14\right)\)

59.85

\(\left(2.582, \mathrm{1.017,1.046,0.803,0.953,0.865}\right)\)

\(\left(71.48, 47.78\right)\)

59.63

Hydrogen

\(\left(1.034, \mathrm{0.977,0.997,0.963,1.025,0.999}\right)\)

\(\left(79.92, 4.97\right)\)

42.445

\(\left(2.285, \mathrm{0.887,0.952,0.87,1.051,0.929}\right)\)

\(\left(75, 45.64\right)\)

60.32

\(\left(2.663, \mathrm{0.889,0.951,0.868,1.0517,0.931}\right)\)

\(\left(70.83, 47.74\right)\)

59.285