Table 4 Comparison with previous analyses from literature (for molten salt).

From: Multiobjective design optimization of parabolic trough collectors

\({\mathrm{T}}_{\mathrm{in}} [\mathrm{K}]\)

Property

Value

Output parameter

Bellos 2017 34

Present analytical model

Difference % \((\left|\Delta \right|\%)\)

600

\(k\) \(\left[\frac{\mathrm{W}}{\mathrm{mK}}\right]\)

0.506

\({\mathrm{T}}_{\mathrm{out}}[\mathrm{K}]\)

607

607.1

0.1

\(\rho \left[\frac{\mathrm{kg}}{{\mathrm{m}}^{3}}\right]\)

1880

\({\upeta }_{\mathrm{th}}\)

0.7546

0.7665

0.0119

\({C}_{p}\left[\frac{\mathrm{J}}{\mathrm{kg K}}\right]\)

1504

\(\mathrm{h }[\frac{\mathrm{W}}{{\mathrm{m}}^{2}\mathrm{K}}]\)

1492

1489.3

2.7

\(\mu \left[\mathrm{Pa s}\right]\)

2.7e−3

\({\upeta }_{ex}\)

0.4288

0.4142

0.0146

700

\(k\) \(\left[\frac{\mathrm{W}}{\mathrm{mK}}\right]\)

0.525

\({\mathrm{T}}_{\mathrm{out}}[\mathrm{K}]\)

706.6

706.8

0.2

\(\rho \left[\frac{\mathrm{kg}}{{\mathrm{m}}^{3}}\right]\)

1816

\({\upeta }_{\mathrm{th}}\)

0.7263

0.7384

0.0121

\({C}_{p}\left[\frac{\mathrm{J}}{\mathrm{kg K}}\right]\)

1521

\(\mathrm{h }[\frac{\mathrm{W}}{{\mathrm{m}}^{2}\mathrm{K}}]\)

1897

1885.5

11.5

\(\mu \left[\mathrm{Pa s}\right]\)

1.6e−3

\({\upeta }_{ex}\)

0.4644

0.455

9.4e-3

800

\(k\) \(\left[\frac{\mathrm{W}}{\mathrm{mK}}\right]\)

0.545

\({\mathrm{T}}_{\mathrm{out}}[\mathrm{K}]\)

806.2

806.3

0.1

\(\rho \left[\frac{\mathrm{kg}}{{\mathrm{m}}^{3}}\right]\)

1752

\({\upeta }_{\mathrm{th}}\)

0.683

0.6955

0.0125

\({C}_{p}\left[\frac{\mathrm{J}}{\mathrm{kg K}}\right]\)

1539

\(\mathrm{h }[\frac{\mathrm{W}}{{\mathrm{m}}^{2}\mathrm{K}}]\)

2142

2173.6

31.6

\(\mu \left[\mathrm{Pa s}\right]\)

1.2e−3

\({\upeta }_{ex}\)

0.4734

0.4682

4.2e-3