******************************************************************************************************** Difusão de Calor Undimensional em Regime Transiente *************************************************** ******************************************************************************************************** Dados iniciais 1.000000000000000E+00 = Lx: comprimento do domínio [m] 11 = Nx: número de nós do domínio 1.000000000000000E-01 = tf: tempo final [s] 10 = Nt: número de intervalos de tempo considerado 1.000000000000000E+00 = Ti: temperatura de referência (temperatura máxima) 5.000000000000000E-01 = theta: parâmetro de escolha para formulação do tempo: 0 - explícita; 0.5 - Crank-Nicolson; 1 - totalmente implícita 1.000000000000000E+00 = k: condutividade térmica [W/m*K] 1.000000000000000E+00 = ro: massa específica [kg/m3] 1.000000000000000E+00 = cp: calor específico a pressão constante [J/kg*K] 1.000000000000000E+00 = alpha: difusividade térmica [m2/s] 1.000000000000000E-01 = dx: tamanho dos elementos de malha (distância entre nós) [m] 1.000000000000000E-02 = dt: passo de tempo [s] ******************************************************************************************************** Temperatura média ************************************************************************************* ******************************************************************************************************** tempo [s] Tm numérica. [ºC] Tm analítica [ºC] Erro numérico [ºC] 0.000000000000000E+00 6.313751514675043E-01 6.366197723675814E-01 5.244620900077046E-03 1.000000000000000E-02 5.724554862661904E-01 5.767890084372628E-01 4.333522171072413E-03 2.000000000000000E-02 5.190341795912866E-01 5.225812560247495E-01 3.547076433462859E-03 3.000000000000000E-02 4.705981269235864E-01 4.734680535752769E-01 2.869926651690558E-03 4.000000000000000E-02 4.266821064431220E-01 4.289706053784381E-01 2.288498935316075E-03 5.000000000000000E-02 3.868643106356888E-01 3.886551138755697E-01 1.790803239880900E-03 6.000000000000000E-02 3.507622948879801E-01 3.521285506459662E-01 1.366255757986101E-03 7.000000000000001E-02 3.180293041581285E-01 3.190348248440296E-01 1.005520685901096E-03 8.000000000000000E-02 2.883509424398210E-01 2.890513117341472E-01 7.003692943262641E-04 9.000000000000000E-02 2.614421530306261E-01 2.618857074806100E-01 4.435544499839517E-04 1.000000000000000E-01 2.370444806004212E-01 2.372731795304889E-01 2.286989300677167E-04 ******************************************************************************************************** Temperatura no meio do domínio ************************************************************************ ******************************************************************************************************** tempo [s] Temp. numérica. [ºC] Temp. analítica [ºC] Erro numérico [ºC] 0.000000000000000E+00 1.000000000000000E+00 1.000000000000000E+00 0.000000000000000E+00 1.000000000000000E-02 9.066804180298083E-01 9.060180557889229E-01 -6.623622408853391E-04 2.000000000000000E-02 8.220693804387078E-01 8.208687174155399E-01 -1.200663023167903E-03 3.000000000000000E-02 7.453542095056730E-01 7.437218794107743E-01 -1.632330094898715E-03 4.000000000000000E-02 6.757980662548809E-01 6.738254512314336E-01 -1.972615023447366E-03 5.000000000000000E-02 6.127328732157114E-01 6.104980252657972E-01 -2.234847949914132E-03 6.000000000000000E-02 5.555528976278268E-01 5.531222339142944E-01 -2.430663713532399E-03 7.000000000000001E-02 5.037089334588691E-01 5.011387309846548E-01 -2.570202474214356E-03 8.000000000000000E-02 4.567030263538363E-01 4.540407387272450E-01 -2.662287626591209E-03 9.000000000000000E-02 4.140836908499748E-01 4.113691073506249E-01 -2.714583499349887E-03 1.000000000000000E-01 3.754415739191810E-01 3.727078388534379E-01 -2.733735065743037E-03