Research Article
Analytical Solution of Heat Conduction for Hollow Cylinders with Time-Dependent Boundary Condition and Time-Dependent Heat Transfer Coefficient
Table 1
Temperatures of the hollow cylinder at outer surface and at various times [
,
,
].
| | | 2 terms | 3 terms | 20 terms | A | B | A | B | A | B |
| 0.1 | 0.0263 | 0.0155 | 0.0261 | 0.0337 | 0.0262 | 0.0250 | 0.5 | 0.2287 | 0.1841 | 0.2296 | 0.2610 | 0.2297 | 0.2248 | 1 | 0.3981 | 0.3263 | 0.3998 | 0.4502 | 0.3998 | 0.3919 | 5 | 0.6541 | 0.5416 | 0.6591 | 0.7364 | 0.6598 | 0.6449 | 10 | 0.6578 | 0.5456 | 0.6675 | 0.7417 | 0.6690 | 0.6495 |
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A: present solution, (39); B: Özisik [1], (44).
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