Table 3 The values and relative error of viscosity for methane nanofluidic by the presented model.
State points | Nonslip boundary | Rough boundary | Experiment54 | |||
|---|---|---|---|---|---|---|
\(T\left( K \right)\) | \(\begin{gathered} \;\;\;\;\rho \hfill \\ \left( {{{kg} \mathord{\left/ {\vphantom {{kg} {m^{3} }}} \right. \kern-\nulldelimiterspace} {m^{3} }}} \right) \hfill \\ \end{gathered}\) | \(\begin{gathered} \;\;\;\;\;\eta_{{{\text{cal}}}} \hfill \\ \left( {{{\upmu {\text{g/cm}}}}\;{\text{s}}} \right) \hfill \\ \end{gathered}\) | \(\frac{{\eta_{{{\text{cal}}}} - \eta_{\exp } }}{{\eta_{\exp } }}\) | \(\begin{gathered} \;\;\;\;\;\eta_{{{\text{cal}}}} \hfill \\ \left( {{{\upmu {\text{g/cm}}}}\;{\text{s}}} \right) \hfill \\ \end{gathered}\) | \(\frac{{\eta_{{{\text{cal}}}} - \eta_{\exp } }}{{\eta_{\exp } }}\) | \(\begin{gathered} \;\;\;\;\;\eta_{\exp } \hfill \\ \left( {{{\upmu {\text{g/cm}}}}\;{\text{s}}} \right) \hfill \\ \end{gathered}\) |
100 | 439.02 | \({1433} \pm 24\) | \(- 0.083\) | \(1336 \pm 14\) | \(- 0.145\) | 1563 |
110 | 424.97 | \({1}0{87} \pm 13\) | \(- 0.111\) | \(1078 \pm 29\) | \(- 0.119\) | 1223 |
120 | 410.13 | \(847 \pm 12\) | \(- 0.139\) | \(795 \pm 29\) | \(- 0.192\) | 984 |
130 | 394.29 | \(716 \pm 16\) | \(- 0.113\) | \(664 \pm 30\) | \(- 0.177\) | 807 |
140 | 377.15 | \(652 \pm 17\) | \(- 0.025\) | \(613 \pm 27\) | \(- 0.084\) | 669 |
150 | 358.19 | \(496 \pm 18\) | \(- 0.111\) | \(477 \pm 21\) | \(- 0.145\) | 558 |
160 | 336.59 | \(454 \pm 18\) | \(- 0.022\) | \(430 \pm 18\) | \(- 0.073\) | 464 |
170 | 310.77 | \(396 \pm 15\) | \(0.042\) | \(384 \pm 22\) | \(0.011\) | 380 |
180 | 276.58 | \(299 \pm 13\) | \(- 0.003\) | \(301 \pm 17\) | \(0.003\) | 300 |
190 | 200.20 | \(179 \pm 12\) | \(- 0.043\) | \(199 \pm 15\) | \(0.064\) | 187 |
