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. 2025 Aug 4;15:28390. doi: 10.1038/s41598-025-10554-5

Table 3.

Comparison of Inline graphic and Inline graphic at Inline graphic for different Prandtl number values (0.1, 1.0, 10).

Inline graphic Inline graphic
Inline graphic Cebeci and Bradshaw36 Present
results		 Na37 Na and Chiou38 Cebeci and Bradshaw36 Kays and Crawford39 Lin and Chen40 Present
results
0.1 1.2104 Inline graphic – – 0.1637 0.164 0.1627 0.162733
1.0 0.9081 0.9081 0.4010 0.4011 0.4009 0.4010 0.4009 0.401011
10 0.5930 0.5926 0.8269 0.8269 0.8266 0.8270 0.8258 0.826651