2D Heat conduction problem

1. Pre processing

boundary conditions

mesh 1 : 121 NODES ; 32 ELEMENTS SECOND ORDER INTERPOLATION

MESH 2 433 NODES; 128 ELEMENTS second order interpolation
2. Solving
3. Post-processing
a) Temperature

mesh 1 mesh 2
b) Heatflux

mesh1 mesh 2
c) Temperature Probe (0 ,5,1)

mesh 1 mesh 2
4. Verification
a) Reaction probe

mesh 1 mesh 1
b)Reaction probe

mesh 2 mesh 2
c) Temperature along line y=1
| Sr no. | Length [m] | Value [°C] |
| 1 | 0 | 0.34964 |
| 2 | 2.00E-02 | 0.34954 |
| 3 | 4.00E-02 | 0.34923 |
| 4 | 6.00E-02 | 0.34871 |
| 5 | 8.00E-02 | 0.34798 |
| 6 | 0.1 | 0.34704 |
| 7 | 0.12 | 0.34589 |
| 8 | 0.14 | 0.34453 |
| 9 | 0.16 | 0.34296 |
| 10 | 0.18 | 0.34118 |
| 11 | 0.2 | 0.33919 |
| 12 | 0.22 | 0.33699 |
| 13 | 0.24 | 0.33459 |
| 14 | 0.26 | 0.33197 |
| 15 | 0.28 | 0.32913 |
| 16 | 0.3 | 0.32609 |
| 17 | 0.32 | 0.32284 |
| 18 | 0.34 | 0.31938 |
| 19 | 0.36 | 0.3157 |
| 20 | 0.38 | 0.31182 |
| 21 | 0.4 | 0.30773 |
| 22 | 0.42 | 0.30343 |
| 23 | 0.44 | 0.29891 |
| 24 | 0.46 | 0.29419 |
| 25 | 0.48 | 0.28926 |
| 26 | 0.5 | 0.28412 |
| 27 | 0.52 | 0.2787 |
| 28 | 0.54 | 0.27309 |
| 29 | 0.56 | 0.2673 |
| 30 | 0.58 | 0.26131 |
| 31 | 0.6 | 0.25514 |
| 32 | 0.62 | 0.24877 |
| 33 | 0.64 | 0.24222 |
| 34 | 0.66 | 0.23548 |
| 35 | 0.68 | 0.22855 |
| 36 | 0.7 | 0.22143 |
| 37 | 0.72 | 0.21412 |
| 38 | 0.74 | 0.20662 |
| 39 | 0.76 | 0.19884 |
| 40 | 0.78 | 0.19083 |
| 41 | 0.8 | 0.1827 |
| 42 | 0.82 | 0.17444 |
| 43 | 0.84 | 0.16606 |
| 44 | 0.86 | 0.15756 |
| 45 | 0.88 | 0.14893 |
| 46 | 0.9 | 0.14018 |
| 47 | 0.92 | 0.1313 |
| 48 | 0.94 | 0.1223 |
| 49 | 0.96 | 0.11318 |
| 50 | 0.98 | 0.10393 |
| 51 | 1 | 9.46E-02 |
mesh 1
| Sr no. | Length [m] | Value [°C] |
| 1 | 0 | 0.34965 |
| 2 | 2.00E-02 | 0.34954 |
| 3 | 4.00E-02 | 0.34923 |
| 4 | 6.00E-02 | 0.34871 |
| 5 | 8.00E-02 | 0.34798 |
| 6 | 0.1 | 0.34704 |
| 7 | 0.12 | 0.34589 |
| 8 | 0.14 | 0.34453 |
| 9 | 0.16 | 0.34296 |
| 10 | 0.18 | 0.34118 |
| 11 | 0.2 | 0.3392 |
| 12 | 0.22 | 0.337 |
| 13 | 0.24 | 0.33459 |
| 14 | 0.26 | 0.33197 |
| 15 | 0.28 | 0.32914 |
| 16 | 0.3 | 0.3261 |
| 17 | 0.32 | 0.32285 |
| 18 | 0.34 | 0.31938 |
| 19 | 0.36 | 0.31571 |
| 20 | 0.38 | 0.31182 |
| 21 | 0.4 | 0.30772 |
| 22 | 0.42 | 0.30341 |
| 23 | 0.44 | 0.29889 |
| 24 | 0.46 | 0.29416 |
| 25 | 0.48 | 0.28922 |
| 26 | 0.5 | 0.28407 |
| 27 | 0.52 | 0.2787 |
| 28 | 0.54 | 0.27313 |
| 29 | 0.56 | 0.26736 |
| 30 | 0.58 | 0.26138 |
| 31 | 0.6 | 0.2552 |
| 32 | 0.62 | 0.24882 |
| 33 | 0.64 | 0.24223 |
| 34 | 0.66 | 0.23545 |
| 35 | 0.68 | 0.22848 |
| 36 | 0.7 | 0.22132 |
| 37 | 0.72 | 0.21398 |
| 38 | 0.74 | 0.20645 |
| 39 | 0.76 | 0.19873 |
| 40 | 0.78 | 0.19084 |
| 41 | 0.8 | 0.18279 |
| 42 | 0.82 | 0.17458 |
| 43 | 0.84 | 0.16621 |
| 44 | 0.86 | 0.15769 |
| 45 | 0.88 | 0.149 |
| 46 | 0.9 | 0.14018 |
| 47 | 0.92 | 0.13124 |
| 48 | 0.94 | 0.12219 |
| 49 | 0.96 | 0.11302 |
| 50 | 0.98 | 0.10374 |
| 51 | 1 | 9.43E-02 |

mesh 2