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Effects of the Darcy number, the Prandtl number, and the Reynolds number on local thermal non-equilibrium

Effects of the Darcy number, the Prandtl number, and the Reynolds number on local thermal non-equilibrium,10.1016/S0017-9310(02)00109-6,International

Effects of the Darcy number, the Prandtl number, and the Reynolds number on local thermal non-equilibrium   (Citations: 40)
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In the present study a general criterion for local thermal equilibrium is presented in terms of parameters of engineering importance which include the Darcy number, the Prandtl number, and the Reynolds number. For this, an order of magnitude analysis is performed for the case when the effect of convection heat transfer is dominant in a porous structure. The criterion proposed in this study is more general than the previous criterion suggested by Carbonell and Whitaker, because the latter is applicable only when conduction is the dominant heat transfer mode in a porous medium while the former can be applied even when convection heat transfer prevails. In order to check the validity of the proposed criterion for local thermal equilibrium, the forced convection phenomena in a porous medium with a microchanneled structure subject to an impinging jet are studied using a similarity transformation. The effects of the Darcy number, the Prandtl number, and the Reynolds number on local thermal non-equilibrium are systematically studied by comparing the temperature of the solid phase with that of the fluid phase as each of these parameters is varied. The proposed criterion is also validated with the existing experimental and numerical results for convection heat transfer in various porous materials that include some of the parameters used in the criterion such as a microchannel heat sink with a parallel flow, a packed bed, a cellular ceramic, and a sintered metal. It is shown that the criterion presented in this work well-predicts the validity of the assumption of local thermal equilibrium in a porous medium.
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    • ...Efforts associated with this topic include: [8-10, 12, 31, 32, 34-37, 40, 48, 54, 67, 69, 70, 73, 77, 90, 94, 114, 127, 151, 167, 171, 172, 180, 207, 208, 219, 259, 262, 269, 319, 322, 334, 359, 370, 375, 382, 410, 412, 424, 439, 441, 457, 470, 471, 473, 474, 508, 513, 547, 553, 597, 619, 633, 648, 682, 683, 693, 695, 706, 713, 751, 766, 772, 778, 790, 824, 839, 847, 853, 858, 868, 870, 882, 883, 887, 901, 907, 909, 923, 927, 944, 952, 953, 955, 960, 965, 968, 971, 991, 993, 995, 996, 999, 1000, 1002, 1012-1014, 1025, 1036, 1051, 1052, 1090, 1109, 1146, 1157, 1174, 1193, 1196, 1197, 1204, 1212, 1220, 1238, 1239, 1253, 1260, 1262, 1263, 1267, 1289, 1290, 1306, 1317, 1321, 1322, 1331, 1342, 1346-1348, 1358, 1360, 1367, 1378, 1379-1385, 1424, 1461-1464, 1483, 1485, 1502, 1533, 1542-1544, 1562, 1573, 1589, 1605, 1610, 1635, 1675, 1694, 1695, 1705, 1710, 1712, 1714, 1722, 1723, 1726, 1729, 1749, 1761, 1776, 1784-1786, 1805, 1863, 1868, 1883, 1884, 1911, 1931, 1932, 2022, 2038, 2046, 2078, 2084, 2088, 2095, 2114, 2115, 2134-2137, 2139, 2146]...

    Tien-Mo Shihet al. Literature Survey of Numerical Heat Transfer (2000-2009): Part I

    • ...associated with packed beds comprised of spherical particles. Kim and Jang [2] provide extensive...

    Akira Nakayamaet al. A study on interstitial heat transfer in consolidated and unconsolidat...

    • ...Several authors have studied whether LTE is valid for different geometries and conditions (eg, pore diameters, flow conditions, solid-to-thermal conductivity ratio) (eg, see [33])...

    Maxime Tye-Gingraset al. Thermal Resistance Minimization of a Fin-and-Porous-Medium Heat Sink w...

    • ...Kim and Jang [13] predicated that when the interstitial heat transfer coefficient is proportional to the Reynolds number with a power greater than 1, the assumption of local thermal equilibrium is valid...

    Jianhua Wanget al. Numerical simulation of control ablation by transpiration cooling

    • ...Forced-convection phenomena in a porous medium with a microchanneled structure subject to an impinging jet were studied by Kim and Jang [13] using a similarity transformation...

    A.-R. A. Khaledet al. Analysis of Flow and Heat Transfer Inside Nonisothermal Squeezed Thin ...

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