Table 9 Thermophysical properties of Al 2 O 3 + H 2 O nanofluid for different wall temperatures and concentration
From: Natural convection heat transfer of nanofluids along a vertical plate embedded in porous medium
Properties | Values | ||||||||
---|---|---|---|---|---|---|---|---|---|
At T = 324 K, d p = 10 nm, ε = 0.72 | Φ | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.09 |
ρ (103) | 0.998 | 1.0268 | 1.0556 | 1.0845 | 1.1133 | 1.1421 | 1.1709 | 1.2574 | |
βnf (103) | 0.214 | 0.2062 | 0.1989 | 0.1919 | 0.1853 | 0.179 | 0.1731 | 0.1568 | |
Cpnf (103) | 4.187 | 4.1871 | 4.1872 | 4.1873 | 4.1874 | 4.1875 | 4.1876 | 4.1878 | |
μ nf | 0.0007 | 0.0007 | 0.0008 | 0.0009 | 0.0009 | 0.001 | 0.0011 | 0.0016 | |
k nf | 0.6288 | 0.7281 | 0.7857 | 0.8339 | 0.8768 | 0.9161 | 0.9529 | 1.0523 | |
k eff | 0.8728 | 1.0106 | 1.0905 | 1.1573 | 1.2167 | 1.2713 | 1.3222 | 1.46 | |
αeff (10−6) | 0.2089 | 0.235 | 0.2467 | 0.2548 | 0.261 | 0.2658 | 0.2697 | 0.2773 | |
Preff | 3.358 | 3.0766 | 3.0441 | 3.0801 | 3.1656 | 3.2973 | 3.4795 | 4.4709 | |
RaKeff | 172.7511 | 143.4813 | 126.9420 | 113.4505 | 101.6234 | 90.8972 | 80.8972 | 53.9553 | |
Σ | 0.9505 | 0.944 | 0.9379 | 0.9321 | 0.9266 | 0.9214 | 0.9164 | 0.9029 | |
At T = 317, d p = 10 nm | Φ | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.09 |
k nf | 0.6288 | 0.7079 | 0.7538 | 0.7922 | 0.8264 | 0.8577 | 0.887 | 0.9662 | |
k eff | 0.8728 | 0.9826 | 1.0462 | 1.0995 | 1.1468 | 1.1903 | 1.2309 | 1.3407 | |
αeff (10−6) | 0.2089 | 0.2285 | 0.2367 | 0.2421 | 0.246 | 0.2489 | 0.251 | 0.2546 | |
Preff | 3.358 | 3.1643 | 3.1728 | 3.242 | 3.3584 | 3.5216 | 3.7376 | 4.8687 | |
RaKeff | 133.7428 | 114.2469 | 102.4320 | 92.4494 | 83.4695 | 75.1410 | 67.2753 | 45.4884 | |
At T = 310 K, d p = 10 nm | Φ | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.09 |
k nf | 0.6288 | 0.6915 | 0.7279 | 0.7584 | 0.7854 | 0.8103 | 0.8335 | 0.8963 | |
k eff | 0.8728 | 0.9598 | 1.0103 | 1.0525 | 1.0901 | 1.1245 | 1.1567 | 1.2438 | |
αeff (10−6) | 0.2089 | 0.2232 | 0.2286 | 0.2318 | 0.2338 | 0.2351 | 0.2359 | 0.2362 | |
Preff | 3.358 | 3.2393 | 3.2857 | 3.3867 | 3.5334 | 3.7276 | 3.9773 | 5.2482 | |
RaKeff | 94.7345 | 82.8428 | 75.1371 | 68.4071 | 62.2040 | 56.3387 | 50.7101 | 34.7324 | |
At T = 303, d p = 10 nm | Φ | 0 | 0.01 | 0.02 | 0.03 | 0.04 | 0.05 | 0.06 | 0.09 |
k nf | 0.6288 | 0.6783 | 0.707 | 0.731 | 0.7523 | 0.7719 | 0.7902 | 0.8398 | |
k eff | 0.8728 | 0.9414 | 0.9812 | 1.0145 | 1.0441 | 1.0713 | 1.0967 | 1.1654 | |
αeff (10−6) | 0.2089 | 0.219 | 0.222 | 0.2234 | 0.224 | 0.224 | 0.2237 | 0.2213 | |
Preff | 3.358 | 3.3026 | 3.383 | 3.5135 | 3.6888 | 3.9128 | 4.195 | 5.6014 | |
RaKeff | 55.7261 | 49.6834 | 45.5077 | 41.7463 | 38.2001 | 34.7866 | 31.4619 | 21.8057 |