Computational Fluid Dynamics for Built and Natural Environments by Zhiqiang (John) Zhai
Author:Zhiqiang (John) Zhai
Language: eng
Format: epub, pdf
ISBN: 9789813298200
Publisher: Springer Singapore
(5.28)
(5.29)
(5.30)
(5.31)
The next step is to assemble all these element matrices into the global matrix using the heat conservation at nodes.
(5.32)
For the case in Fig. 5.1, there is no internal heat source so Q1 = Q2 = Q3 = 0; Tb1 = 100 °C and Tb2 = 0 °C; Qb1 and Qb2 are unknown. L(1) = 0.5, L(2) = 1, L(3) = 1, L(4) = 0.5. Taking these into Eq. (5.32) yields
(5.33)
Since KA are unknown and and are not asked, only the middle three equations need be solved:
(5.34)
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