PMC:7143804 / 51361-53800 JSONTXT

{"target":"https://pubannotation.org/docs/sourcedb/PMC/sourceid/7143804","sourcedb":"PMC","sourceid":"7143804","source_url":"https://www.ncbi.nlm.nih.gov/pmc/7143804","text":"Appendix B. Equations and Values Used in the COMSOL Multiphysics Study\n\nAppendix B.1. Water\nFor H2O, the build-in temperature-dependent equations for the density (ρH2O, see equations in Equation (A1)), heat capacity at constant pressure (CP,H2O, see equations in Equation (A2)), and thermal conductivity (κH2O, see equations in Equation (A3)) are used. The ratio (γH2O) of the specific heats at constant pressure (CP,H2O) and constant volume (CV,H2O) is calculated manually according to the table from the Engineering Toolbox website [81] and Equation (A4). The values for γH2O are listed in Table A1. (A1) ρH2O(T)=972.7584+0.2084T−4×10−4T2for273≤T\u003c283345.28+5.749816T−0.0157244T2+1.264375×10−5T3for283≤T\u003c373 (A2) CP,H2O(T)=12010.1471−80.4072879T+0.309866854T2for273.15≤T\u003c553.75−5.38186884×10−4T3+3.62536437×10−7T4 (A3) κH2O(T)=−0.869083936+0.00894880345T−1.58366345×10−5T2for273.15≤T\u003c553.75+7.97543259×10−9T3 (A4) γH2O=CP,H2OCV,H2O\nTable A1 The ratio of specific heats of water.\nT γH2O T γH2O\n[K] [-] [K] [-]\n273.16 1.000592782 393.15 1.157465496\n283.15 1.001073729 413.15 1.199809492\n293.15 1.006591292 433.15 1.246234334\n298.15 1.010560913 453.15 1.297534537\n303.15 1.015203400 473.15 1.355013713\n313.15 1.025996023 493.15 1.420794975\n323.15 1.038520763 513.15 1.498241758\n333.15 1.052405261 533.15 1.592792563\n343.15 1.067512483 553.15 1.714447794\n353.15 1.083658241 573.15 1.883524402\n363.15 1.100748613 593.15 2.148448797\n373.15 1.118756966 613.15 2.666580033\n383.15 1.137648990 633.15 4.550527720\n\nAppendix B.2. Cyclic Olefin Copolymer\nValues for the density (ρCOC = 1020 kg m−3), specific heat (cCOC, see Table A2), and thermal conductivity (κCOC,23°C = 0.17 W m−1 K−1 and κCOC,320°C = 0.24 W m−1 K−1, linear fit in between these point) of TOPAS 6017 COC are obtained via TOPAS Advanced Polymers (TOPAS Advanced Polymers, Farmington Hills, MI, USA). The heat capacity at constant pressure (CP,COC) is calculated assuming a homogeneous body of mass m, via Equation (A5), where COMSOL interpolated linearly in between the points. (A5) CP,COC=cCOC×m\nTable A2 The specific heat of TOPAS 6017 COC.\nT c T c\n[°C] [W m−1 K−1] [°C] [W m−1 K−1]\n30 1333 180 2298\n70 1538 210 2412\n110 1754 250 2539\n150 1968 290 2645\n160 2047 330 2758 Convective heat loss to the air is also taken into account with Equation (A6), which is often used in simulations [56]. 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