Solução Numérica da Eq. de Difusão de Calor 1D em Regime Permanente com Propriedades Constantes

Dados de entrada

                20  = N:  número de volumes de controle
  4.0000000000E+02  = k:  condutividade térmica [W/m.K]
  3.0000000000E+05  = q:  taxa volumétrica de geração de calor [W/m3]
  1.0000000000E+00  = L:  comprimento do domínio [m]
  1.0000000000E-01  = A:  área da seção transversal [m2]
  5.0000000000E+01  = Ta: temperatura do contorno esquerdo (x=0) [°C]
  2.0000000000E+02  = Tb: temperatura do contorno direito  (x=L) [°C]


Soluções numéricas

    Volume     Posição [m]        Temp. numérica [°C]      Temp. analítica [°C]     Erro numérico [°C]
         0     0.000000000E+00    5.000000000000000E+01    5.000000000000000E+01    0.000000000000000E+00
         1     2.500000000E-02    6.312500000000001E+01    6.289062500000000E+01   -2.343750000000142E-01
         2     7.500000000E-02    8.750000000000003E+01    8.726562500000000E+01   -2.343750000000284E-01
         3     1.250000000E-01    1.100000000000001E+02    1.097656250000000E+02   -2.343750000000568E-01
         4     1.750000000E-01    1.306250000000001E+02    1.303906250000000E+02   -2.343750000000853E-01
         5     2.250000000E-01    1.493750000000001E+02    1.491406250000000E+02   -2.343750000000853E-01
         6     2.750000000E-01    1.662500000000001E+02    1.660156250000000E+02   -2.343750000001137E-01
         7     3.250000000E-01    1.812500000000001E+02    1.810156250000000E+02   -2.343750000001137E-01
         8     3.750000000E-01    1.943750000000001E+02    1.941406250000000E+02   -2.343750000000853E-01
         9     4.250000000E-01    2.056250000000001E+02    2.053906250000000E+02   -2.343750000000284E-01
        10     4.750000000E-01    2.150000000000000E+02    2.147656250000000E+02   -2.343750000000284E-01
        11     5.250000000E-01    2.225000000000000E+02    2.222656250000000E+02   -2.343750000000000E-01
        12     5.750000000E-01    2.281250000000000E+02    2.278906250000000E+02   -2.343749999999716E-01
        13     6.250000000E-01    2.318749999999999E+02    2.316406250000000E+02   -2.343749999999432E-01
        14     6.750000000E-01    2.337499999999999E+02    2.335156250000000E+02   -2.343749999999432E-01
        15     7.250000000E-01    2.337499999999999E+02    2.335156250000000E+02   -2.343749999999432E-01
        16     7.750000000E-01    2.318749999999999E+02    2.316406250000000E+02   -2.343749999999432E-01
        17     8.250000000E-01    2.281249999999999E+02    2.278906250000000E+02   -2.343749999999432E-01
        18     8.750000000E-01    2.224999999999999E+02    2.222656250000000E+02   -2.343749999999432E-01
        19     9.250000000E-01    2.150000000000000E+02    2.147656250000000E+02   -2.343749999999716E-01
        20     9.750000000E-01    2.056250000000000E+02    2.053906250000000E+02   -2.343750000000284E-01
        21     1.000000000E+00    2.000000000000000E+02    2.000000000000000E+02    0.000000000000000E+00


Taxa de transf. de calor no contorno esquerdo (x=0) - res. numérico  [W]:   -2.100000000000002E+04
Taxa de transf. de calor no contorno esquerdo (x=0) - res. analítico [W]:   -2.100000000000000E+04
Erro numérico para a taxa de transf. de calor no contorno esquerdo (x=0):    2.182787284255028E-11


Taxa de transf. de calor no contorno direito (x=L) - res. numérico  [W]:     9.000000000000000E+03
Taxa de transf. de calor no contorno direito (x=L) - res. analítico [W]:     9.000000000000000E+03
Erro numérico para a taxa de transf. de calor no contorno direito (x=L):     0.000000000000000E+00


Temperatura média numérica  [°C]:          1.878125000000000E+02
Temperatura média analítica [°C]:          1.875000000000000E+02
Erro numérico para a temperatura média:   -3.125000000000284E-01