THERMAL SCIENCE

International Scientific Journal

Thermal Science - Online First

Authors of this Paper

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Shuguang Li

,

Zhuoran Zhuang

,

Xiaoyi Ma

online first only

Simulation on natural convection of Carreau fluids in a locally heated trapezoidal cavity

ABSTRACT
The laminar natural convection of non-Newtonian Carreau fluids in a trapezoidal cavity with a local heat source at the bottom is numerically investigated. A stabilized streamline-upwind/Petrov-Galerkin (SUPG) finite element algorithm is proposed, in which equal low-order finite elements are used. Effects of Rayleigh number (i.e., Ra = 104 and 105), power-law index (i.e., 0.6 ≤ n ≤ 1.4), Prandtl number (i.e., 0 .1 ≤ Pr ≤ 100 ), and local heat source length (i.e., 0.1 ≤ η ≤ 1.0) are researched. Results show that for different power-law indexes, as Prandtl numbers increase, the convective heat transfer is enhanced ; as power-law indexes increase, influences of Prandtl numbers decrease, as local heat source length increase, the convective heat transfer is enhanced.
KEYWORDS
Stabilized finite element, Carreau fluids, natural convection, trapezoidal cavity, Local heat source
PAPER SUBMITTED: 2025-06-01
PAPER REVISED: 2025-07-27
PAPER ACCEPTED: 2025-08-08
PUBLISHED ONLINE: 2025-09-13
DOI REFERENCE: https://doi.org/10.2298/TSCI250601160L
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Simulation on natural convection of Carreau fluids in a locally heated trapezoidal cavity