EJEMPLO: 5.3 (Incropera, Frank; Fundamentos de Transferencia de Calor; Prentice Hall; 4ed; pg. 231)Gabriel Fabricio Rodrguez Cajas.t[s]T1(L=0,04m)T2(L=0,03m)T3(L=0,02m)T4(L=0,01m)T5(L=0m)

0-20-20-20-20-20

2-15,2920-20-20-20-20

4-14,4017-18,2298-20-20-20

6-12,9022-17,4560-19,3344-20-20

8-12,0367-16,4500-18,8784-19,7497-20

10-11,1166-15,7037-18,2930-19,5162-19,8118

12-10,3813-14,9525-17,7793-19,1674-19,5895

14-9,6774-14,2966-17,2384-18,8042-19,2721

16-9,0511-13,6659-16,7210-18,3914-18,9202

18-8,4583-13,0794-16,2003-17,9622-18,5225

20-7,9052-12,5154-15,6893-17,5104-18,1011

22-7,3764-11,9754-15,1807-17,0478-17,6569

24-6,8704-11,4514-14,6775-16,5748-17,1989

26-6,3806-10,9419-14,1779-16,0961-16,7296

28-5,9049-10,4436-13,6824-15,6130-16,2532

30-5,4402-9,9548-13,1905-15,1278-15,7718

32-4,9848-9,4739-12,7023-14,6415-15,2875

34-4,5370-8,9999-12,2176-14,1553-14,8017

36-4,0959-8,5317-11,7363-13,6698-14,3156

38-3,6604-8,0688-11,2584-13,1856-13,8299

40-3,2299-7,6105-10,7837-12,7032-13,3454

42-2,8039-7,1565-10,3123-12,2229-12,8625

44-2,3819-6,7065-9,8441-11,7450-12,3816

46-1,9637-6,2602-9,3791-11,2696-11,9029

48-1,5490-5,8174-8,9172-10,7969-11,4267

50-1,1376-5,3780-8,4585-10,3269-10,9531

52-0,7294-4,9419-8,0028-9,8598-10,4822

54-0,3242-4,5089-7,5501-9,3956-10,0142

560,0780-4,0790-7,1005-8,9343-9,5490

580,4774-3,6520-6,6539-8,4759-9,0867

600,8739-3,2281-6,2103-8,0205-8,6274

621,2677-2,8070-5,7696-7,5681-8,1710

641,6588-2,3888-5,3319-7,1186-7,7176

662,0473-1,9735-4,8971-6,6720-7,2671

682,4331-1,5610-4,4652-6,2284-6,8196

702,8162-1,1512-4,0362-5,7877-6,3750

723,1969-0,7442-3,6100-5,3500-5,9334

743,5749-0,3399-3,1867-4,9151-5,4946

763,95040,0617-2,7662-4,4831-5,0588

784,32340,4606-2,3485-4,0540-4,6259

804,69390,8568-1,9336-3,6278-4,1958

825,06191,2504-1,5214-3,2043-3,7686

845,42751,6413-1,1120-2,7837-3,3443

865,79062,0297-0,7053-2,3659-2,9228

886,15132,4154-0,3014-1,9509-2,5040

906,50962,79860,0999-1,5386-2,0881

926,86553,17920,4985-1,1291-1,6749

947,21913,55730,8945-0,7223-1,2645

967,57023,93291,2878-0,3183-0,8568

987,91914,30601,67850,0831-0,4518

1008,26564,67662,06660,4818-0,0495

1028,60985,04472,45210,87790,3501

1048,95175,41032,83501,27130,7470

1069,29135,77363,21541,66211,1413

1089,62876,13443,59322,05031,5330

1109,96386,49283,96862,43591,9220

11210,29676,84884,34142,81902,3085

11410,62747,20244,71173,19952,6924

11610,95597,55375,07963,57743,0737

11811,28227,90275,44513,95283,4525

12011,60638,24935,80804,32583,8288

12211,92828,59366,16864,69624,2025

12412,24808,93566,52685,06424,5738

12612,56579,27546,88265,42974,9426

12812,88129,61287,23605,79285,3089

13013,19479,94817,58716,15355,6728

13213,506110,28117,93586,51186,0343

13413,815410,61188,28226,86776,3934

13614,122610,94048,62637,22126,7501

13814,427811,26688,96817,57247,1044

14014,730911,59109,30767,92127,4563

14215,032111,91319,64498,26777,8059

14415,331212,23309,97998,61198,1532

14615,628312,550710,31278,95388,4981

14815,923512,866410,64329,29348,8408

15016,216713,179910,97169,63079,1811

15216,507913,491411,29789,96599,5192

15416,797213,800811,621810,29879,8551

15617,084614,108111,943610,629410,1887

15817,370014,413412,263310,957810,5201

16017,653614,716712,580911,284110,8493

16217,935215,017912,896411,608211,1763

16418,215015,317113,209711,930111,5011

16618,492915,614313,521012,249911,8237

16818,769015,909613,830212,567612,1442

17019,043216,202914,137312,883112,4626

17219,315616,494214,442413,196612,7788

17419,586216,783614,745413,507913,0930

17619,855017,071015,046513,817213,4050

17820,122017,356615,345514,124413,7150

18020,387217,640215,642514,429614,0229

18220,650717,922015,937614,732714,3287

18420,912418,201816,230715,033914,6326

18621,172318,479816,521815,333014,9343

18821,430518,756016,811015,630115,2341

19021,687019,030317,098315,925215,5319

19221,941819,302817,383716,218415,8277

19422,194919,573517,667116,509616,1215

19622,446319,842317,948716,798916,4134

19822,696020,109418,228417,086316,7033

20022,944120,374718,506217,371716,9913

20223,190520,638318,782217,655317,2774

20423,435320,900019,056317,936917,5615

20623,678421,160119,328718,216717,8438

20823,920021,418419,599218,494618,1242

21024,159921,674919,867918,770618,4027

21224,398221,929820,134819,044918,6794

21424,634922,183020,399919,317318,9542

21624,870122,434520,663319,587819,2272

21825,103722,684320,924919,856619,4984

22025,335722,932421,184720,123619,7678

22225,566223,178921,442920,388820,0353

22425,795123,423821,699320,652220,3011

22626,022523,667021,954020,913920,5652

22826,248423,908622,207021,173920,8274

23026,472824,148622,458321,432121,0879

23226,695824,387022,708021,688621,3467

23426,917224,623822,956021,943321,6038

23627,137124,859023,202322,196421,8591

23827,355625,092723,447022,447822,1128

24027,572625,324823,690122,697522,3647

24227,788225,555323,931522,945622,6150

24428,002325,784324,171423,192022,8636

24628,215126,011824,409623,436823,1106

24828,426426,237824,646323,679923,3559

25028,636326,462324,881323,921423,5995

25228,844826,685325,114824,161323,8416

25429,051926,906825,346824,399624,0820

25629,257627,126825,577224,636324,3209

25829,461927,345325,806124,871524,5581

26029,664927,562426,033425,105124,7938

26229,866627,778126,259325,337125,0279

26430,066927,992326,483625,567525,2604

26630,265828,205126,706425,796525,4914

26830,463528,416426,927826,023925,7208

27030,659828,626427,147626,249825,9487

27230,854828,834927,366126,474226,1751

27431,048529,042127,583026,697126,4000

27631,240929,247927,798526,918526,6234

27831,432129,452328,012627,138426,8453

28031,622029,655428,225227,356927,0657

28231,810629,857128,436527,573927,2847

28431,997930,057428,646327,789527,5022

28632,184030,256528,854728,003627,7182

28832,368930,454229,061828,216327,9329

29032,552530,650629,267428,427628,1460

29232,734930,845629,471728,637528,3578

29432,916131,039429,674628,846028,5681

29633,096131,231929,876229,053128,7771

29833,274831,423130,076529,258828,9847

30033,452431,613030,275429,463229,1908

30233,628831,801730,472929,666129,3956

30433,804131,989130,669229,867829,5991

30633,978132,175230,864130,068129,8011

30834,151032,360231,057830,267030,0019

31034,322832,543831,250230,464730,2013

31234,493432,726331,441230,661030,3993

31434,662932,907531,631030,856030,5961

31634,831233,087631,819631,049730,7915

31834,998533,266432,006931,242130,9857

32035,164633,444132,192931,433231,1785

32235,329633,620532,377731,623131,3701

32435,493533,795832,561331,811731,5603

32635,656333,969932,743631,999031,7494

32835,818034,142932,924832,185131,9371

33035,978734,314733,104732,370032,1236

33236,138234,485433,283432,553632,3089

33436,296734,654933,460932,736032,4929

33636,454234,823333,637332,917232,6757

33836,610634,990633,812533,097132,8573

34036,766035,156733,986533,275933,0377

34236,920335,321834,159333,453533,2168

34437,073635,485834,331033,629933,3948

34637,225935,648634,501633,805133,5716

34837,377235,810434,671033,979233,7472

35037,527435,971134,839334,152133,9217

35237,676736,130735,006534,323834,0949

35437,825036,289335,172534,494434,2671

35637,972236,446835,337534,663934,4380

35838,118536,603335,501334,832234,6079

36038,263936,758735,664134,999534,7766

36238,408236,913135,825735,165634,9442

36438,551637,066435,986335,330635,1107

36638,694037,218736,145935,494435,2760

36838,835537,370136,304335,657335,4403

37038,976137,520436,461735,819035,6034

37239,115737,669736,618135,979635,7655

37439,254437,818036,773436,139235,9265

37639,392137,965336,927736,297736,0864

37839,529038,111737,081036,455136,2453

38039,664938,257037,233236,611636,4031

38239,799938,401437,384436,766936,5599

38439,934038,544937,534636,921236,7156

38640,067338,687337,683837,074536,8702

38840,199638,828937,832137,226837,0239

39040,331138,969537,979337,378137,1765

39240,461639,109138,125537,528337,3281

39440,591439,247838,270837,677637,4787

39640,720239,385638,415137,825937,6283

39840,848239,522538,558537,973137,7769

40040,975339,658538,700938,119437,9245

40241,101639,793638,842338,264738,0711

40441,227139,927738,982838,409138,2167

40641,351740,061039,122438,552538,3614

40841,475540,193439,261038,694938,5051

41041,598440,324939,398738,836438,6478

41241,720640,455539,535538,976938,7896

41441,841940,585339,671439,116538,9305

41641,962440,714139,806439,255239,0704

41842,082140,842239,940539,393039,2094

42042,201040,969340,073639,529839,3474

42242,319241,095740,205939,665739,4846

42442,436541,221240,337439,800739,6208

42642,553141,345840,467939,934839,7561

42842,668841,469640,597640,068139,8905

43042,783841,592640,726440,200440,0240

43242,898141,714840,854340,331840,1567

43443,011641,836240,981440,462440,2884

43643,124341,956741,107740,592140,4193

43843,236342,076541,233140,721040,5493

44043,347542,195441,357740,849040,6784

44243,458042,313641,481440,976140,8067

44443,567742,431041,604341,102440,9341

44643,676842,547641,726441,227841,0606

44843,785142,663441,847741,352441,1864

45043,892642,778441,968241,476241,3112

45243,999542,892742,087941,599241,4353

45444,105643,006242,206741,721341,5585

45644,211143,119042,324841,842641,6809

45844,315843,231042,442141,963141,8025

46044,419843,342342,558642,082841,9233

46244,523243,452842,674442,201842,0433

46444,625843,562642,789442,319942,1625

46644,727843,671642,903642,437242,2808

46844,829143,780043,017042,553842,3984

47044,929743,887643,129742,669542,5152

47245,029743,994443,241642,784542,6313

47445,128944,100643,352842,898842,7465

47645,227644,206143,463343,012342,8610

47845,325544,310943,573043,125042,9747

48045,422844,414943,682043,236943,0877

Fig1. Distribucin de Temperaturas a lo largo de la pared de la tubera para cada minuto.

Fig2. Variacin de la temperatura en funcin del tiempo para cada particin (nodo) en la pared.