Challenge

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

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