Dimensionless distribution of temperature on pipes during transient conduction under convective conditions
Keywords:
transient conduction, Bessel functions, dimensionless temperatureAbstract
This research proposes six analytical solutions to estimate transient conduction energy exchange in pipelines with convective conditions. The models developed were adjusted for an R1/RE range from 0.2 to 0.8 and dimensionless Fourier (Fo) and Biot (Bi) numbers, from 0.05 to 50 and 0.005 to 50 respectively. In each case, 352 temperature distributions were computed by approximate Heisler method (MH) and exact models, with different combinations of R1/RE ; Bi ; Fo. For comparing the MH and analytical solutions, 2.112 tests were carried out, showing that MH correlates with the analytical method with an average deviation of ±10% for 70.4% and ±20% for 90.1% of the combinations R1/RE ; Bi ; Fo examined. The best fit was for Case 5, with an average deviation of ±10 % for 80.3 % and ±20 % for 91.8 % of the data used, while the worst fit detected was in Case 2, with average deviation of ±10% and ±20% for 66.7% and 87.4% of the data, respectively.Downloads
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