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RESPONSE SURFACE ANALYSIS (RSA) OF CARBON NANOTUBES-WATER FLOW IN A POROUS MEDIUM
Keywords:
convective flow, Darcy model, single nanofluid, porous medium, response surface analysis, optimizationDOI:
https://doi.org/10.17654/0973576325042Abstract
This work investigates the thermal behavior of single-walled carbon nanotube (SWCNT) nanofluid flow over a stretchable plate embedded in a porous medium using the Darcy-Forchheimer-Brinkman formulation. The study is motivated by the growing demand for efficient heat transfer enhancement in porous-based thermal systems and advanced cooling technologies. A combined numerical-statistical framework is developed, integrating the local non-similarity (LNS) method with response surface methodology (RSM) to identify and optimize key factors influencing the heat transfer rate. The novelty lies in coupling RSM with the Darcy-Forchheimer-Brinkman model for CNT-based nanofluid flow, providing a new pathway to predict and optimize thermal performance. The analysis reveals that the Darcy number exerts the greatest influence on heat transfer, whereas magnetic and nanoparticle parameters contribute minimally. The study recommends extending this approach to hybrid or tetra nanofluids to achieve superior performance in porous media cooling and energy applications.
Received: August 8, 2025
Revised: October 25, 2025
Accepted: October 29, 2025
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