Vista previa del material en texto
Hoja1 x(t) X(t) Δt ΔT Δx Δt 0.1 s Tf Ti xf xi 0 0 10 0 r 1000 Kg/m^3 31 41 k 0.58 W/m.k Lf 333000 Hoja2 espesor (m) tiempo (s) ΔT r 1000 Tf Ti xi xf ΔX 0.04 0 10 k 1.6 0.04 0 0.12 2.497500000000E+06 Lf 333000 -10 0 0.04 0.12 0.0064 5000.12 ΔX 5000 10000.12 15000.12 20000.12 25000.12 30000.12 35000.12 40000.12 45000.12 50000.12 55000.12 60000.12 65000.12 70000.12 75000.12 Hoja3 tiempo (s) espesor (m) tiempo (h) r 1000 0 0.04 0.00 k 1.6 6000 0.064 1.67 Lf 333000 12000 0.074 3.33 ΔX 6000 18000 0.082 5.00 ΔT 10 24000 0.088 6.67 30000 0.094 8.33 0 36000 0.099 10.00 42000 0.104 11.67 48000 0.108 13.33 54000 0.112 15.00 60000 0.116 16.67 66000 0.120 18.33 72000 0.123 20.00 78000 0.127 21.67 84000 0.130 23.33 90000 0.133 25.00 96000 0.136 26.67 102000 0.139 28.33 108000 0.142 30.00 114000 0.145 31.67 120000 0.147 33.33 126000 0.150 35.00 132000 0.153 36.67 138000 0.155 38.33 144000 0.158 40.00 150000 0.160 41.67 156000 0.162 43.33 162000 0.165 45.00 168000 0.167 46.67 174000 0.169 48.33 180000 0.172 50.00 186000 0.174 51.67 192000 0.176 53.33 198000 0.178 55.00 204000 0.180 56.67 210000 0.182 58.33 216000 0.184 60.00 222000 0.186 61.67 228000 0.188 63.33 234000 0.190 65.00 240000 0.192 66.67 246000 0.194 68.33 252000 0.196 70.00 258000 0.197 71.67 264000 0.199 73.33 270000 0.201 75.00 276000 0.203 76.67 282000 0.205 78.33 288000 0.206 80.00 294000 0.208 81.67 300000 0.210 83.33 306000 0.211 85.00 312000 0.213 86.67 318000 0.215 88.33 324000 0.216 90.00 330000 0.218 91.67 336000 0.220 93.33 342000 0.221 95.00 348000 0.223 96.67 354000 0.224 98.33 360000 0.226 100.00 366000 0.228 101.67 372000 0.229 103.33 378000 0.231 105.00 384000 0.232 106.67 390000 0.234 108.33 396000 0.235 110.00 402000 0.237 111.67 408000 0.238 113.33 414000 0.239 115.00 420000 0.241 116.67 426000 0.242 118.33 432000 0.244 120.00 438000 0.245 121.67 444000 0.247 123.33 450000 0.248 125.00 456000 0.249 126.67 462000 0.251 128.33 468000 0.252 130.00 474000 0.253 131.67 480000 0.255 133.33 486000 0.256 135.00 492000 0.257 136.67 498000 0.259 138.33 504000 0.260 140.00 510000 0.261 141.67 516000 0.263 143.33 522000 0.264 145.00 528000 0.265 146.67 534000 0.267 148.33 540000 0.268 150.00 546000 0.269 151.67 552000 0.270 153.33 558000 0.272 155.00 564000 0.273 156.67 570000 0.274 158.33 576000 0.275 160.00 582000 0.276 161.67 588000 0.278 163.33 594000 0.279 165.00 600000 0.280 166.67 606000 0.281 168.33 612000 0.283 170.00 618000 0.284 171.67 624000 0.285 173.33 630000 0.286 175.00 636000 0.287 176.67 642000 0.288 178.33 648000 0.290 180.00 654000 0.291 181.67 660000 0.292 183.33 666000 0.293 185.00 672000 0.294 186.67 678000 0.295 188.33 684000 0.296 190.00 690000 0.298 191.67 696000 0.299 193.33 702000 0.300 195.00 708000 0.301 196.67 714000 0.302 198.33 720000 0.303 200.00 726000 0.304 201.67 732000 0.305 203.33 738000 0.306 205.00 744000 0.307 206.67 750000 0.308 208.33 756000 0.310 210.00 762000 0.311 211.67 768000 0.312 213.33 774000 0.313 215.00 780000 0.314 216.67 786000 0.315 218.33 792000 0.316 220.00 798000 0.317 221.67 804000 0.318 223.33 810000 0.319 225.00 816000 0.320 226.67 822000 0.321 228.33 828000 0.322 230.00 834000 0.323 231.67 840000 0.324 233.33 846000 0.325 235.00 Espesor vs Tiempo 0.04 6.40120090075065 73E-2 7.3958108798240718E-2 8.1590019592802904E-2 8.8024018015013139E-2 9.3692484417121941E-2 9.8817169767504626E-2 0.10352980431290526 0.10791621759648143 0.11203602702251969 0.11593263966019993 0.11963882434053344 0.12318003918560583 0.12657652970346811 0.12984471087421937 0.13299811099505543 0.13604803603002627 0.13900404942123226 0.14187432639472214 0.14466592069510953 0.1473849688342439 0.15003684886486029 0.15262630547383096 0.15515754973626897 0.15763433953500924 0 1.6666666666666667 3.3333333333333335 5 6.666666666666667 8.3333333333333339 10 11.666666666666666 13.333333333333334 15 16.666666666666668 18.333333333333332 20 21.666666666666668 23.333333333333332 25 26.666666666666668 28.333333333333332 30 31.666666666666668 33.333333333333336 35 36.666666666666664 38.333333333333336 40 Hoja4 x (m) t(h) dt/dx=(Lf*Po*x)/(k*(Tc-Tf)) delta t = (dt/dx)*h h=delta(x) r 1000 cúmulo 0.04 0 639.846743295 0.6398467433 0.001 k 0.58 0.6398467433 0.0001777352 0.041 0.6398467433 655.8429118774 0.6558429119 Lf 334000 656.4827586207 0.1823563218 0.042 1.2956896552 671.8390804598 0.6718390805 ΔX 6000 1328.3218390805 0.3689782886 0.043 1.9675287356 687.8352490421 0.687835249 ΔT 10 2016.1570881226 0.5600436356 0.044 2.6553639847 703.8314176245 0.7038314176 2719.9885057471 0.7555523627 0.045 3.3591954023 719.8275862069 0.7198275862 3439.816091954 0.95550447 0.046 4.0790229885 735.8237547893 0.7358237548 4175.6398467433 1.1598999574 0.047 4.8148467433 751.8199233716 0.7518199234 4927.4597701149 1.368738825 0.048 5.5666666667 767.816091954 0.767816092 5695.275862069 1.5820210728 0.049 6.3344827586 783.8122605364 0.7838122605 6479.0881226054 1.7997467007 0.05 7.1182950192 799.8084291188 0.7998084291 7278.8965517241 2.0219157088 0.051 7.9181034483 815.8045977011 0.8158045977 8094.7011494253 2.2485280971 0.052 8.733908046 831.8007662835 0.8318007663 8926.5019157088 2.4795838655 0.053 9.5657088123 847.7969348659 0.8477969349 9774.2988505747 2.715083014 0.054 10.4135057471 863.7931034483 0.8637931034 10638.091954023 2.9550255428 0.055 11.2772988506 879.7892720307 0.879789272 11517.8812260536 3.1994114517 0.056 12.1570881226 895.785440613 0.8957854406 12413.6666666667 3.4482407407 0.057 13.0528735632 911.7816091954 0.9117816092 13325.4482758621 3.70151341 0.058 13.9646551724 927.7777777778 0.9277777778 14253.2260536398 3.9592294593 0.059 14.8924329502 943.7739463602 0.9437739464 15197 4.2213888889 0.06 15.8362068966 959.7701149425 0.9597701149 16156.7701149425 4.4879916986 0.061 16.7959770115 975.7662835249 0.9757662835 17132.5363984674 4.7590378885 0.062 17.771743295 991.7624521073 0.9917624521 18124.2988505747 5.0345274585 0.063 18.7635057471 1007.7586206897 1.0077586207 19132.0574712644 5.3144604087 0.064 19.7712643678 1023.754789272 1.0237547893 20155.8122605364 5.598836739 0.065 20.7950191571 1039.7509578544 1.0397509579 21195.5632183908 5.8876564496 0.066 21.8347701149 1055.7471264368 1.0557471264 22251.3103448276 6.1809195402 0.067 22.8905172414 1071.7432950192 1.071743295 23323.0536398467 6.4786260111 0.068 23.9622605364 1087.7394636015 1.0877394636 24410.7931034483 6.7807758621 0.069 25.05 1103.7356321839 1.1037356322 25514.5287356322 7.0873690932 0.07 26.1537356322 1119.7318007663 1.1197318008 26634.2605363985 7.3984057046 0.071 27.273467433 1135.7279693487 1.1357279693 27769.9885057471 7.713885696 0.072 28.4091954023 1151.724137931 1.1517241379 28921.7126436782 8.0338090677 0.073 29.5609195402 1167.7203065134 1.1677203065 30089.4329501916 8.3581758195 0.074 30.7286398467 1183.7164750958 1.1837164751 31273.1494252874 8.6869859515 0.075 31.9123563218 1199.7126436782 1.1997126437 32472.8620689655 9.0202394636 0.076 33.1120689655 1215.7088122605 1.2157088123 33688.5708812261 9.3579363559 0.077 34.3277777778 1231.7049808429 1.2317049808 34920.275862069 9.7000766284 0.078 35.5594827586 1247.7011494253 1.2477011494 36167.9770114943 10.046660281 0.079 36.807183908 1263.6973180077 1.263697318 37431.6743295019 10.3976873138 0.08 38.0708812261 1279.69348659 1.2796934866 38711.367816092 10.7531577267 0.081 39.3505747126 1295.6896551724 1.2956896552 40007.0574712644 11.1130715198 0.082 40.6462643678 1311.6858237548 1.3116858238 41318.7432950192 11.4774286931 0.083 41.9579501916 1327.6819923372 1.3276819923 42646.4252873563 11.8462292465 0.084 43.2856321839 1343.6781609195 1.3436781609 43990.1034482759 12.2194731801 0.085 44.6293103448 1359.6743295019 1.359674329545349.7777777778 12.5971604938 0.086 45.9889846743 1375.6704980843 1.3756704981 46725.4482758621 12.9792911877 0.087 47.3646551724 1391.6666666667 1.3916666667 48117.1149425287 13.3658652618 0.088 48.7563218391 1407.662835249 1.4076628352 49524.7777777778 13.756882716 0.089 50.1639846743 1423.6590038314 1.4236590038 50948.4367816092 14.1523435504 0.09 51.5876436782 1439.6551724138 1.4396551724 52388.091954023 14.552247765 0.091 53.0272988506 1455.6513409962 1.455651341 53843.7432950192 14.9565953597 0.092 54.4829501916 1471.6475095785 1.4716475096 55315.3908045977 15.3653863346 0.093 55.9545977011 1487.6436781609 1.4876436782 56803.0344827586 15.7786206897 0.094 57.4422413793 1503.6398467433 1.5036398467 58306.6743295019 16.1962984249 0.095 58.9458812261 1519.6360153257 1.5196360153 59826.3103448276 16.6184195402 0.096 60.4655172414 1535.632183908 1.5356321839 61361.9425287356 17.0449840358 0.097 62.0011494253 1551.6283524904 1.5516283525 62913.5708812261 17.4759919115 0.098 63.5527777778 1567.6245210728 1.5676245211 64481.1954022989 17.9114431673 0.099 65.1204022989 1583.6206896552 1.5836206897 66064.816091954 18.3513378033 0.1 66.7040229885 1599.6168582376 1.5996168582 67664.4329501916 18.7956758195 0.101 68.3036398467 1615.6130268199 1.6156130268 69280.0459770115 19.2444572158 0.102 69.9192528736 1631.6091954023 1.6316091954 70911.6551724138 19.6976819923 0.103 71.550862069 1647.6053639847 1.647605364 72559.2605363985 20.155350149 0.104 73.198467433 1663.6015325671 1.6636015326 74222.8620689655 20.6174616858 0.105 74.8620689655 1679.5977011494 1.6795977011 75902.459770115 21.0840166028 0.106 76.5416666667 1695.5938697318 1.6955938697 77598.0536398468 21.5550149 0.107 78.2372605364 1711.5900383142 1.7115900383 79309.6436781609 22.0304565773 0.108 79.9488505747 1727.5862068966 1.7275862069 81037.2298850575 22.5103416347 0.109 81.6764367816 1743.5823754789 1.7435823755 82780.8122605364 22.9946700724 0.11 83.4200191571 1759.5785440613 1.7595785441 84540.3908045977 23.4834418902 0.111 85.1795977011 1775.5747126437 1.7755747126 86315.9655172414 23.9766570881 0.112 86.9551724138 1791.5708812261 1.7915708812 88107.5363984675 24.4743156662 0.113 88.746743295 1807.5670498084 1.8075670498 89915.1034482759 24.9764176245 0.114 90.5543103448 1823.5632183908 1.8235632184 91738.6666666667 25.482962963 0.115 92.3778735632 1839.5593869732 1.839559387 93578.2260536399 25.9939516816 0.116 94.2174329502 1855.5555555556 1.8555555556 95433.7816091954 26.5093837803 0.117 96.0729885057 1871.5517241379 1.8715517241 97305.3333333334 27.0292592593 0.118 97.9445402299 1887.5478927203 1.8875478927 99192.8812260537 27.5535781183 0.119 99.8320881226 1903.5440613027 1.9035440613 101096.425287356 28.0823403576 0.12 101.7356321839 1919.5402298851 1.9195402299 103015.965517241 28.615545977 0.121 103.6551724138 1935.5363984674 1.9355363985 104951.501915709 29.1531949766 0.122 105.5907088123 1951.5325670498 1.951532567 106903.034482759 29.6952873563 0.123 107.5422413793 1967.5287356322 1.9675287356 108870.563218391 30.2418231162 0.124 109.5097701149 1983.5249042146 1.9835249042 110854.088122605 30.7928022563 0.125 111.4932950192 1999.5210727969 1.9995210728 112853.609195402 31.3482247765 0.126 113.492816092 2015.5172413793 2.0155172414 114869.126436782 31.9080906769 0.127 115.5083333333 2031.5134099617 2.03151341 116900.639846743 32.4723999574 0.128 117.5398467433 2047.5095785441 2.0475095785 118948.149425287 33.0411526181 0.129 119.5873563218 2063.5057471264 2.0635057471 121011.655172414 33.614348659 0.13 121.650862069 2079.5019157088 2.0795019157 123091.157088123 34.19198808 0.131 123.7303639847 2095.4980842912 2.0954980843 125186.655172414 34.7740708812 0.132 125.825862069 2111.4942528736 2.1114942529 127298.149425287 35.3605970626 0.133 127.9373563218 2127.4904214559 2.1274904215 129425.639846743 35.9515666241 0.134 130.0648467433 2143.4865900383 2.14348659 131569.126436782 36.5469795658 0.135 132.2083333333 2159.4827586207 2.1594827586 133728.609195402 37.1468358876 0.136 134.367816092 2175.4789272031 2.1754789272 135904.088122605 37.7511355896 0.137 136.5432950192 2191.4750957854 2.1914750958 138095.563218391 38.3598786718 0.138 138.7347701149 2207.4712643678 2.2074712644 140303.034482759 38.9730651341 0.139 140.9422413793 2223.4674329502 2.223467433 142526.501915709 39.5906949766 0.14 143.1657088123 2239.4636015326 2.2394636015 144765.965517241 40.2127681992 0.141 145.4051724138 2255.4597701149 2.2554597701 147021.425287356 40.839284802 0.142 147.6606321839 2271.4559386973 2.2714559387 149292.881226054 41.470244785 0.143 149.9320881226 2287.4521072797 2.2874521073 151580.333333333 42.1056481481 0.144 152.2195402299 2303.4482758621 2.3034482759 153883.781609195 42.7454948914 0.145 154.5229885057 2319.4444444444 2.3194444444 156203.22605364 43.3897850149 0.146 156.8424329502 2335.4406130268 2.335440613 158538.666666667 44.0385185185 0.147 159.1778735632 2351.4367816092 2.3514367816 160890.103448276 44.6916954023 0.148 161.5293103448 2367.4329501916 2.3674329502 163257.536398468 45.3493156662 0.149 163.896743295 2383.4291187739 2.3834291188 165640.965517241 46.0113793103 0.15 166.2801724138 2399.4252873563 2.3994252874 168040.390804598 46.6778863346 0.151 168.6795977011 2415.4214559387 2.4154214559 170455.812260536 47.348836739 0.152 171.0950191571 2431.4176245211 2.4314176245 172887.229885058 48.0242305236 0.153 173.5264367816 2447.4137931035 2.4474137931 175334.643678161 48.7040676884 0.154 175.9738505747 2463.4099616858 2.4634099617 177798.053639847 49.3883482333 0.155 178.4372605364 2479.4061302682 2.4794061303 180277.459770115 50.0770721584 0.156 180.9166666667 2495.4022988506 2.4954022989 182772.862068966 50.7702394636 0.157 183.4120689655 2511.3984674329 2.5113984674 185284.260536399 51.467850149 0.158 185.9234674329 2527.3946360153 2.527394636 187811.655172414 52.1699042146 0.159 188.450862069 2543.3908045977 2.5433908046 190355.045977012 52.8764016603 0.16 190.9942528736 2559.3869731801 2.5593869732 192914.432950192 53.5873424862 0.161 193.5536398467 2575.3831417625 2.5753831418 195489.816091954 54.3027266922 0.162 196.1290229885 2591.3793103448 2.5913793103 198081.195402299 55.0225542784 0.163 198.7204022989 2607.3754789272 2.6073754789 200688.570881226 55.7468252448 0.164 201.3277777778 2623.3716475096 2.6233716475 203311.942528736 56.4755395913 0.165 203.9511494253 2639.367816092 2.6393678161 205951.310344828 57.208697318 0.166 206.5905172414 2655.3639846743 2.6553639847 208606.674329502 57.9462984249 0.167 209.2458812261 2671.3601532567 2.6713601533 211278.034482759 58.6883429119 0.168 211.9172413793 2687.3563218391 2.6873563218 213965.390804598 59.4348307791 0.169 214.6045977011 2703.3524904215 2.7033524904 216668.743295019 60.1857620264 0.17 217.3079501916 2719.3486590038 2.719348659 219388.091954023 60.9411366539 0.171 220.0272988506 2735.3448275862 2.7353448276 222123.436781609 61.7009546616 0.172 222.7626436782 2751.3409961686 2.7513409962 224874.777777778 62.4652160494 0.173 225.5139846743 2767.337164751 2.7673371648 227642.114942529 63.2339208174 0.174 228.2813218391 2783.3333333333 2.7833333333 230425.448275862 64.0070689655 0.175 231.0646551724 2799.3295019157 2.7993295019 233224.777777778 64.7846604938 0.176 233.8639846743 2815.3256704981 2.8153256705 236040.103448276 65.5666954023 0.177 236.6793103448 2831.3218390805 2.8313218391 238871.425287356 66.3531736909 0.178 239.5106321839 2847.3180076628 2.8473180077 241718.743295019 67.1440953597 0.179 242.3579501916 2863.3141762452 2.8633141762 244582.057471264 67.9394604087 0.18 245.2212643678 2879.3103448276 2.8793103448 247461.367816092 68.7392688378 0.181 248.1005747126 2895.306513412.8953065134 250356.674329502 69.5435206471 0.182 250.9958812261 2911.3026819923 2.911302682 253267.977011494 70.3522158365 0.183 253.907183908 2927.2988505747 2.9272988506 256195.275862069 71.1653544061 0.184 256.8344827586 2943.2950191571 2.9432950192 259138.570881226 71.9829363559 0.185 259.7777777778 2959.2911877395 2.9592911877 262097.862068966 72.8049616858 0.186 262.7370689655 2975.2873563218 2.9752873563 265073.149425287 73.6314303959 0.187 265.7123563218 2991.2835249042 2.9912835249 268064.432950192 74.4623424862 0.188 268.7036398467 3007.2796934866 3.0072796935 271071.712643678 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