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

Table 4.

Comparison of Inline graphic and Inline graphic at Inline graphic for different Prandtl number values.

Inline graphic Inline graphic
Inline graphic Hering and Grosh15 Roy14 Present
results		 Na37 Hering and Grosh15 Roy14 Alamgir41 Na and Chiou38 Present
results
0.1 1.0960 – 1.0958 0.2113 – 0.2141 – 0.2113 0.21132
1.0 0.7694 0.8600 0.7694 0.5104 0.5275 0.5280 0.5104 0.5104 0.51045
10 – 0.4899 0.4876 – 1.0354 1.0159 1.0340 – 1.03397