Comparison between heat transfer rate of square and annular enclosure for different thermal conditions
| Ra | d | h | Nanoparticle shape | for uniform heating | for linear heating | for sinusoidal heating | |||
|---|---|---|---|---|---|---|---|---|---|
| Square | Annulus | Square | Annulus | Square | Annulus | ||||
| 103 | 0.3 | 0.3 | Spherical | 6.5850331 | 8.6840452 | 2.4697965 | 3.5717699 | 1.0253931 | 1.1978497 |
| 0.7 | 0.7 | 5.4124021 | 7.3932065 | 0.1665528 | 0.6840464 | −0.8060156 | −0.8510240 | ||
| 0.4 | 0.2 | 6.3933114 | 8.4490096 | 2.0429081 | 3.0509654 | 1.0366892 | 1.1985037 | ||
| 0.2 | 0.4 | 6.4145126 | 8.4699332 | 1.8297109 | 2.9326275 | 0.9167009 | 1.1781592 | ||
| 0.2 | 0.2 | Blade | 5.4226164 | 7.3144455 | 3.9354729 | 6.8763990 | 1.7235268 | 3.4629886 | |
| Brick | 4.8811030 | 6.0213484 | 3.3589613 | 5.6603438 | 1.4772871 | 2.8447513 | |||
| Cylinder | 4.1988443 | 5.2196701 | 2.4855416 | 4.7548948 | 0.5143560 | 1.8449354 | |||
| Platelet | 4.5177621 | 5.4174346 | 2.5764136 | 4.9393388 | 0.5493479 | 1.9306888 | |||
| 105 | 0.3 | 0.3 | Spherical | 10.8924231 | 13.0776185 | 4.3255926 | 6.0068852 | 5.1441646 | 5.3626164 |
| 0.7 | 0.7 | 5.7227195 | 7.8802541 | 0.5779625 | 1.0902441 | −0.2383840 | −0.3069542 | ||
| 0.4 | 0.2 | 9.7130774 | 12.8864425 | 3.7230911 | 5.9637697 | 3.9676952 | 5.2081197 | ||
| 0.2 | 0.4 | 10.1843720 | 13.0783448 | 3.7900560 | 5.9619294 | 4.2962653 | 5.3501909 | ||
| 0.2 | 0.2 | Blade | 7.2448242 | 9.5343485 | 5.9788348 | 8.6290111 | 4.5972134 | 5.9911304 | |
| Brick | 5.5370105 | 7.9756457 | 5.2099922 | 7.1929093 | 3.9933995 | 5.0518617 | |||
| Cylinder | 4.0114265 | 6.2455630 | 4.9763937 | 5.7453685 | 2.3086142 | 3.2028743 | |||
| Platelet | 4.7904321 | 6.3325629 | 4.9624523 | 5.8654660 | 2.1241894 | 3.1830767 | |||
| Nanoparticle shape | |||||||||
|---|---|---|---|---|---|---|---|---|---|
| Square | Annulus | Square | Annulus | Square | Annulus | ||||
| 103 | 0.3 | 0.3 | Spherical | 6.5850331 | 8.6840452 | 2.4697965 | 3.5717699 | 1.0253931 | 1.1978497 |
| 0.7 | 0.7 | 5.4124021 | 7.3932065 | 0.1665528 | 0.6840464 | −0.8060156 | −0.8510240 | ||
| 0.4 | 0.2 | 6.3933114 | 8.4490096 | 2.0429081 | 3.0509654 | 1.0366892 | 1.1985037 | ||
| 0.2 | 0.4 | 6.4145126 | 8.4699332 | 1.8297109 | 2.9326275 | 0.9167009 | 1.1781592 | ||
| 0.2 | 0.2 | Blade | 5.4226164 | 7.3144455 | 3.9354729 | 6.8763990 | 1.7235268 | 3.4629886 | |
| Brick | 4.8811030 | 6.0213484 | 3.3589613 | 5.6603438 | 1.4772871 | 2.8447513 | |||
| Cylinder | 4.1988443 | 5.2196701 | 2.4855416 | 4.7548948 | 0.5143560 | 1.8449354 | |||
| Platelet | 4.5177621 | 5.4174346 | 2.5764136 | 4.9393388 | 0.5493479 | 1.9306888 | |||
| 105 | 0.3 | 0.3 | Spherical | 10.8924231 | 13.0776185 | 4.3255926 | 6.0068852 | 5.1441646 | 5.3626164 |
| 0.7 | 0.7 | 5.7227195 | 7.8802541 | 0.5779625 | 1.0902441 | −0.2383840 | −0.3069542 | ||
| 0.4 | 0.2 | 9.7130774 | 12.8864425 | 3.7230911 | 5.9637697 | 3.9676952 | 5.2081197 | ||
| 0.2 | 0.4 | 10.1843720 | 13.0783448 | 3.7900560 | 5.9619294 | 4.2962653 | 5.3501909 | ||
| 0.2 | 0.2 | Blade | 7.2448242 | 9.5343485 | 5.9788348 | 8.6290111 | 4.5972134 | 5.9911304 | |
| Brick | 5.5370105 | 7.9756457 | 5.2099922 | 7.1929093 | 3.9933995 | 5.0518617 | |||
| Cylinder | 4.0114265 | 6.2455630 | 4.9763937 | 5.7453685 | 2.3086142 | 3.2028743 | |||
| Platelet | 4.7904321 | 6.3325629 | 4.9624523 | 5.8654660 | 2.1241894 | 3.1830767 | |||
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