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Second law analysis of Casson Darcy-Forchheimer flow in two-phase nanomaterials with solar radiation and microbial cells using Homann mixed convection modeling

Crossref DOI link: https://doi.org/10.1186/s11671-026-04668-6

Published Online: 2026-05-27

Update policy: https://doi.org/10.1007/springer_crossmark_policy

Authors

Kashif, Amber Nehan

Zaheer, Kashif Bin

Saeed, Abdulkafi Mohammed

Liu, Han
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Text and Data Mining valid from 2026-05-27

Version of Record valid from 2026-05-27
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Article History

Received: 4 March 2026

Accepted: 15 May 2026

First Online: 27 May 2026

Declarations

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: Not applicable.

: Not applicable.

: The authors declare that there is no conflict of interests regarding the publication of this paper.

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