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 |