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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2025 Volume 66, Issue 1, Pages 26–38 (Mi pmtf9642)

Arrhenius activation energy and zero nanoparticles flux effects on free convection flow of a nanofluid past an isothermal elliptical cylinder with internal heat generation

K.-A. Yiha, Ch.-J. Huangb

a Air Force Institute of Technology, Taiwan
b Air Force Academy, Kaohsiung, Taiwan

Abstract: Arrhenius activation energy, zero nanoparticles flux, and internal heat generation effects on natural convection about an isothermal cylinder of elliptic cross section filled with a nanofluid are numerically analyzed in this paper. The nanofluid model involves Brownian motion and thermophoresis effects. The boundary condition of the zero nanoparticle flux causes the results to be more realistic and useful. By using a suitable coordinate transformation, the non-similar governing equations are achieved and then solved by Keller box method. Performing the comparisons with previously published work obtains the good agreement. The dimensionless temperature profiles and the Nusselt number results for the main parameters are presented in graphical and tabular forms. The physical aspects of the problem are discussed in details.

Keywords: arrhenius activation energy, zero nanoparticles flux, free convection, nanofluid, isothermal elliptical cylinder, internal heat generation.

UDC: 539.6

Received: 23.11.2023
Revised: 02.03.2024
Accepted: 26.03.2024

DOI: 10.15372/PMTF202315416


 English version:
Journal of Applied Mechanics and Technical Physics, 2025, 66:1, 20–31

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© Steklov Math. Inst. of RAS, 2026