Abstract
Correction to: Scientific Reportshttps://doi.org/10.1038/s41598-023-34871-9, published online 15 May 2023 The original Article contained errors. Due to an error during formulation and simplification of Eqs. (6) and (7), which are derived from a generalized Navier–Stokes framework that includes body force terms, the gravitational force was retained. This term has now been removed. The original Eq. (6): (Formula presented.) Now reads: (Formula presented.) The original Eq. (7): (Formula presented.) Now reads: (Formula presented.) This error also requires changes to the Eqs. (17), (18), and (21), as these are derived from (6) and (7). The original Eq. (17): (Formula presented.) Now reads: (Formula presented.) The original Eq. (18): (Formula presented.) Now reads: (Formula presented.) The original Eq. (21): (Formula presented.) Now reads: (Formula presented.) Due to this error, numerical values in Tables 4 and 5 have changed. The original Tables 4 and 5 and accompanying legends appear below as Tables 1 and 2. (Table presented.) (Table presented.) Numerical outcomes of single nanoparticle nanofluid for different parameters. Cfx Cfy Nux Shx 0.9 5 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 0.66635 − 5.11895 4.92841 1.43954 1.0 − 0.41465 − 5.40745 5.15842 1.45668 1.1 − 0.16347 − 5.69962 5.37524 1.47315 0.5 00 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 1.63057 − 0.408852 5.09938 1.47146 01 − 1.35134 − 1.51853 4.86746 1.47669 02 − 1.38521 − 2.33791 4.58522 1.44866 0.5 05 00 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 1.56568 − 4.01668 3.79057 1.36584 0.5 − 1.67181 − 3.98974 3.81111 1.36327 1.0 − 1.77825 − 3.96402 3.82727 1.36082 0.5 05 00 00 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 1.83082 − 4.05492 3.73971 1.35147 01 − 1.51648 − 3.92227 3.87715 1.37418 02 − 1.21534 − 3.78735 3.99809 1.39384 0.5 05 00 0.5 00 45° 0.5 6.3 05 0.1 0.5 0.5 − 1.62639 − 4.00051 3.80291 1.36422 05 − 9.40586 − 5.64041 2.62335 1.05891 10 − 19.2573 − 10.0976 1.54102 0.86689 0.5 0.5 0.5 0.5 0.8 0° 0.5 6.3 0.3 0.3 0.3 0.8 − 1.30397 − 0.96499 5.03399 1.16886 30° − 1.65745 − 1.07217 4.93271 1.15533 45° − 1.96241 − 1.18232 4.83962 1.14397 60° − 2.23195 − 1.28877 4.75467 1.13435 90° − 2.47536 − 1.39003 4.67661 1.12604 0.5 05 0.5 0.5 0.3 45° 0.0 6.3 05 0.1 0.5 0.5 − 1.64161 − 3.99444 9.33755 1.33908 2.0 − 1.72006 − 3.99117 23.0151 1.42702 4.0 − 1.74731 − 3.99885 32.0469 1.49335 0.5 05 0.5 0.5 0.3 45° 0.5 7.3 05 0.1 0.5 0.5 − 1.68193 − 3.98832 4.26657 1.37346 8.3 − 1.69066 − 3.98821 4.69223 1.38333 9.3 − 1.69823 − 3.98865 5.09217 1.39285 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 10 0.1 0.5 0.5 − 1.67181 − 3.98941 3.81111 1.36327 15 − 1.67181 − 3.98944 3.81111 1.67674 20 − 1.67181 − 3.98945 3.81111 1.90002 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 05 00 0.5 0.5 − 1.67181 − 3.98947 3.81111 1.29326 03 − 1.67181 − 3.98948 3.81111 3.39361 06 − 1.67181 − 3.98948 3.81111 5.49397 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.7 0.5 − 1.67181 − 3.98948 3.81111 1.39128 0.8 − 1.67181 − 3.98947 3.81111 1.40528 0.9 − 1.67181 − 3.98943 3.81111 1.41928 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 05 − 1.67181 − 3.98942 3.81111 5.14727 10 − 1.67181 − 3.98941 3.81111 10.0610 15 − 1.67181 − 3.98944 3.81111 15.0399 Numerical outcomes of hybrid nanoparticle nanofluid for different parameter. Cfx Cfy Nux Shx 0.9 5 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 0.43183 − 2.18251 8.79526 1.43068 1.0 − 0.33186 − 2.31401 9.19781 1.44593 1.1 − 0.23213 − 2.44702 9.57884 1.46064 0.5 00 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 0.90985 − 0.33342 8.80656 1.43247 01 − 0.79227 − 0.67825 8.53503 1.44253 02 − 0.76710 − 0.98631 8.13384 1.42848 0.5 05 00 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 0.78680 − 1.67519 6.85763 1.36639 0.5 − 0.83178 − 1.66646 6.87709 1.36341 1.0 − 0.87671 − 1.65882 6.89059 1.36021 0.5 05 00 00 0.3 45° 0.5 6.3 05 0.1 0.5 0.5 − 0.88886 − 1.69231 6.76566 1.35382 01 − 0.77586 − 1.64047 6.98128 1.37236 02 − 0.66702 − 1.58814 7.17191 1.38872 0.5 05 00 0.5 00 45° 0.5 6.3 05 0.1 0.5 0.5 − 1.36585 − 3.32792 4.56164 1.37126 05 − 21.3205 − 10.9546 1.47417 0.81395 10 − 42.7979 − 21.5463 0.91983 0.69608 0.5 0.5 0.5 0.5 0.8 0° 0.5 6.3 0.3 0.3 0.3 0.8 − 0.55826 − 0.41487 9.05095 1.15121 30° − 2.07246 − 1.06463 6.99015 1.04524 45° − 1.80146 − 0.93497 7.35539 1.06017 60° − 0.81363 − 0.49779 8.72787 1.12908 90° − 1.88623 − 0.97533 7.23928 1.05535 0.5 05 0.5 0.5 0.3 45° 0.0 6.3 05 0.1 0.5 0.5 − 0.82410 − 1.66704 12.2541 1.34692 2.0 − 0.84583 − 1.66762 24.4276 1.40833 4.0 − 0.85513 − 1.67012 33.1092 1.45769 0.5 05 0.5 0.5 0.3 45° 0.5 7.3 05 0.1 0.5 0.5 − 0.83532 − 1.66648 7.68265 1.37258 8.3 − 0.83837 − 1.66663 8.43683 1.38147 9.3 − 0.84101 − 1.66688 9.14676 1.39008 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 10 0.1 0.5 0.5 − 0.83178 − 1.66646 6.87709 1.36341 15 − 0.83178 − 1.66646 6.87709 1.67527 20 − 0.83178 − 1.66646 6.87709 1.89803 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 05 00 0.5 0.5 − 0.83178 − 1.66646 6.87709 1.30175 03 − 0.83178 − 1.66646 6.87709 3.15162 06 − 0.83178 − 1.66646 6.87709 5.00156 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.7 0.5 − 0.83178 − 1.66646 6.87709 1.38807 0.8 − 0.83178 − 1.66646 6.87709 1.40041 0.9 − 0.83178 − 1.66646 6.87709 1.41274 0.5 05 0.5 0.5 0.3 45° 0.5 6.3 05 0.1 0.5 05 − 0.83178 − 1.66646 6.87709 5.14607 10 − 0.83178 − 1.66646 6.87709 10.05925 15 − 0.83178 − 1.66646 6.87709 15.03831 The original Article has been corrected..
| Original language | English |
|---|---|
| Article number | 34823 |
| Journal | Scientific Reports |
| Volume | 15 |
| Issue number | 1 |
| DOIs |
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| State | Published - Dec 2025 |
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