Effects of various configurations of an inserted corrugated conductive cylinder on MHD natural convection in a hybrid na
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Effects of various configurations of an inserted corrugated conductive cylinder on MHD natural convection in a hybrid nanofluid‑filled square domain Tahar Tayebi1,2 · Ali J. Chamkha3,4 Received: 2 April 2020 / Accepted: 23 August 2020 © Akadémiai Kiadó, Budapest, Hungary 2020
Abstract This paper aims to understand the characteristics of heat transfer and flow by natural convection of Al2O3–Cu/water-based hybrid nanofluid-filled square domain containing various configurations of a corrugated conducting solid under a horizontal magnetic field. The basic equations in their non-dimensional form are numerically solved using the finite volume discretization technique. The Corcione correlations are utilized to estimate the overall heat conductivity and overall viscosity of the hybrid nanoliquid when the nanoparticle’s Brownian motion is taken into account. The dependency of different governing factors of the investigation, namely volume fraction of the combined nanoparticles, Rayleigh and Hartmann numbers, undulation number, undulation amplitude and the fluid/solid heat conductivity ratio, on thermohydrodynamic characteristics are delineated. Results stated that the maximum heat transmission rate was obtained for weak values of Hartmann, undulation number, undulation amplitude and high values of Rayleigh and nanoparticles volumic fraction. In addition, the fluid/solid heat conductivity ratio parameter was found to boost the heat transfer at weak Rayleigh while reducing it at high Rayleigh. Keywords MHD · Natural convection · Hybrid nanofluid · Corrugated conductive body List of symbols A Undulation amplitude B0 Magnetic field (N Am−2) Cp Specific heat (J kg−1 K−1) g Gravitational acceleration (m s−2) H Width of the cavity (m) k* Ratio of fluid/solid heat conductivity k Heat conductivity (W m−1 K−1) kb Constant of Boltzmann, 1.380648 × 10−23 (J K−1) L Size of the cylinder block N Number of undulations * Ali J. Chamkha [email protected] 1
Department of Mechanical Engineering, Faculty of Sciences and Technology, Mohamed El Bachir El Ibrahimi University, Bordj Bou Arreridj, 34030 El‑Anasser, Algeria
Energy Physics Laboratory, Department of Physics, Faculty of Exact Sciences, Frères Mentouri Constantine1 University, 25000 Constantine, Algeria
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Institute of Research and Development, Duy Tan University, Da Nang 550000, Vietnam
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Institute of Theoretical and Applied Research (ITAR), Duy Tan University, Hanoi 100000, Vietnam
ri Main radius of the inner cylinder (m) T Temperature (K) Tfr Freezing temperature of the water (273.15 K) u, v Dimensional velocities (m s−1) U, V Dimensionless velocities x, y Dimensional coordinates (m) X, Y Dimensionless coordinates Greek letters 𝜇 Dynamic viscosity (kg m−1 s−1) 𝜐 Kinematic viscosity (m2 s−1) 𝜌 Density (kg m−3) 𝛽 Thermal expansion coefficient (1 K−1) 𝜙 Volumic concentration 𝜃 Dimensionless temperature 𝜓 Dimensionless stream function η Angular position (°) α Thermal diffusivity (m2 s−1) σ Electrical conductivity (1 Ω−1 m−1) Subsc
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