https://doi.org/10.1140/epjs/s11734-025-01972-7
Regular Article
Simulation of mixed and natural convection in power-law fluids inside square enclosure with circular cylinder using sharp interface immersed boundary method
1
Department of Mechanical Engineering, IIT Patna, 801103, Patna, India
2
Department of Mechanical Engineering, Siksha O Anusandhan Deemed to be University, 751030, Bhubaneswar, India
3
Department of Mechanical Engineering, IIT Kharagpur, 721302, Kharagpur, India
a
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Received:
29
July
2025
Accepted:
16
September
2025
Published online:
29
September
2025
Abstract
This paper presents a numerical study on natural and mixed convection inside square enclosures filled with power-law fluids with an internal cylinder. We have used a sharp interface immersed boundary method (IB method) to specify boundary conditions over a curved/moving obstacle inside the enclosure. Predictions based on our in-house code are compared with available literature data on power law and Newtonian fluids for simple and complex geometries. Mixed convection cases due to enclosure wall motion and cylinder oscillation are considered. We have studied natural and mixed convection problems over different Rayleigh numbers and Richardson numbers, respectively, and compared the streamline patterns and isotherms for shear-thinning, Newtonian, and shear-thickening cases. Differences in Nusselt number distribution over the obstacle and enclosure walls are also reported for different power-law indices.
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Present address: Department of Mechanical Engineering, IIT Patna, Patna, 801103, India
© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
