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  • Open Access

    ARTICLE

    The Behavior of a Gas Bubble in a Square Cavity Filled with a Viscous Liquid Undergoing Vibrations

    Tatyana Lyubimova1,2,*, Yulia Garicheva2, Andrey Ivantsov1

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.11, pp. 2417-2429, 2024, DOI:10.32604/fdmp.2024.052391 - 28 October 2024

    Abstract External vibrations are known to be one of the promising ways to control the behavior of multiphase systems. The computational modeling of the behavior of a gas bubble in a viscous liquid in a horizontal cylinder of square cross-section, which undergoes linearly polarized translational oscillations in weightless conditions, has been carried out. Under vibrations, the bubble moves towards the wall of the vessel with acceleration determined by the amplitudes and frequency of vibrations. Near the wall, at a distance of the order of the thickness of the viscous Stokes boundary layer, the effects of viscosity More >

  • Open Access

    ARTICLE

    Natural Convection of a Power-Law Nanofluid in a Square Cavity with a Vertical Fin

    Amira M’hadbi1,2,*, Mohammed El Ganaoui1, Haïkel Ben Hamed3, Amenallah Guizani2, Khalid Chtaibi3

    FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.9, pp. 2091-2108, 2024, DOI:10.32604/fdmp.2024.050763 - 23 August 2024

    Abstract The behavior of non-Newtonian power-law nanofluids under free convection heat transfer conditions in a cooled square enclosure equipped with a heated fin is investigated numerically. In particular, the impact of nanofluids, composed of water and Al₂O₃, TiO₂, and Cu nanoparticles, on heat transfer enhancement is examined. The aim of this research is also to analyze the influence of different parameters, including the Rayleigh number (Ra = 104 − 106), nanoparticle volume fraction (φ = 0% − 20%), non-Newtonian power-law indexes (n = 0.6 − 1.4), and fin dimensions (Ar = 0.3, 0.5, and 0.7). Streamlines and isotherms are used to… More > Graphic Abstract

    Natural Convection of a Power-Law Nanofluid in a Square Cavity with a Vertical Fin

  • Open Access

    ARTICLE

    Natural Convection and Irreversibility of Nanofluid Due to Inclined Magnetohydrodynamics (MHD) Filled in a Cavity with Y-Shape Heated Fin: FEM Computational Configuration

    Afraz Hussain Majeed1, Rashid Mahmood2, Sayed M. Eldin3, Imran Saddique4,5,*, S. Saleem6, Muhammad Jawad7

    CMES-Computer Modeling in Engineering & Sciences, Vol.139, No.2, pp. 1505-1519, 2024, DOI:10.32604/cmes.2023.030255 - 29 January 2024

    Abstract This study explains the entropy process of natural convective heating in the nanofluid-saturated cavity in a heated fin and magnetic field. The temperature is constant on the Y-shaped fin, insulating the top wall while the remaining walls remain cold. All walls are subject to impermeability and non-slip conditions. The mathematical modeling of the problem is demonstrated by the continuity, momentum, and energy equations incorporating the inclined magnetic field. For elucidating the flow characteristics Finite Element Method (FEM) is implemented using stable FE pair. A hybrid fine mesh is used for discretizing the domain. Velocity and More >

  • Open Access

    ARTICLE

    Amplitude and Period Effect on Heat Transfer in an Enclosure with Sinusoidal Heating from Below Using Lattice Boltzmann Method

    Noureddine Abouricha1,*, Chouaib Ennawaoui1,2, Mustapha El Alami3

    Frontiers in Heat and Mass Transfer, Vol.21, pp. 523-537, 2023, DOI:10.32604/fhmt.2023.045914 - 30 November 2023

    Abstract This work presents a simulation of the phenomena of natural convection in an enclosure with a variable heating regime by the lattice Boltzmann method (LBM). We consider a square enclosure of side H filled with air (Pr = 0.71) and heated from below, with a hot portion of length L = 0.8 H, by imposing a sinusoidal temperature. The unheated segments of the bottom wall are treated as adiabatic, and one of the vertical walls features a cold region, while the remaining walls remain adiabatic. The outcomes of the two-dimensional (2D) problem are depicted through isotherms, streamlines, More >

  • Open Access

    ARTICLE

    Numerical Study of Natural Convective Heat Transfer in an Air Filled Square Cavity Heated from Below and Symmetrically Cooled from the Sides with a Partition in the Hot Wall

    Farah Zemani-Kaci*, Amina Sabeur-Bendhina

    FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.2, pp. 513-539, 2023, DOI:10.32604/fdmp.2022.021974 - 29 August 2022

    Abstract A two-dimensional numerical study of laminar natural convection in a square enclosure filled with air with a wall partially heated on the bottom is presented. The heat source is located on the lower wall with different heated widths varied from 20 to 80%(ε = 0.2–0.8) of the total width of the lower wall and different heights h = H/4 and H/2 of the partition. The effect of the partition height on the main system dynamics is investigated through solution of the two-dimensional Navier–Stokes equations and the energy equation by means of a finite volume method More > Graphic Abstract

    Numerical Study of Natural Convective Heat Transfer in an Air Filled Square Cavity Heated from Below and Symmetrically Cooled from the Sides with a Partition in the Hot Wall

  • Open Access

    ARTICLE

    CONVECTIVE HEAT TRANSFER IN A SQUARE CAVITY WITH EMBEDDED CIRCULAR HEATED BLOCK AT DIFFERENT POSITIONS

    O. M. Oyewolaa,b,*, S. I. Afolabib, O. S. Ismailb, M.O. Olasindeb

    Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-7, 2022, DOI:10.5098/hmt.18.31

    Abstract Finite element method is adopted in analyzing a two dimensional partial differential equations of Navier Stokes that governs mass, momentum and energy for a convective heat transfer problem within a square cavity. The cavity walls kept at constant cold temperature except for the right wall being adiabatic. With an embedded circular heated block located in the cavity, simulations are performed to determine the effect of the position of the block at the top, middle and bottom of the cavity on natural convection. The experiments are carried out for different values of Rayleigh number varying from 103More >

  • Open Access

    ARTICLE

    NATURAL CONVECTION ANALYSIS OF A RECTANGULAR SHAPE HEATED BLOCK EMBEDDED IN SQUARE CAVITY

    Olanrewaju M. Oyewolaa,b,*, Samuel I. Afolabib

    Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-6, 2022, DOI:10.5098/hmt.19.38

    Abstract Numerical analysis of heat transfer by convection in a square with a rectangular shape heated block located at the top, center and bottommost has been numerically investigated by applying the principal partial differential equations governing mass, momentum and energy using discontinuous Galerkin weighted procedure for residual finite element with the view of examining the significance of position of rectangular shaped heated block encapsulated within the square cavity. The right wall being adiabatic while the other three walls are maintained at low constant temperature. The heated block is maintained constantly hot. The developed code of COMSOL More >

  • Open Access

    ARTICLE

    EXAMINATION OF CONVECTIVE HEAT TRANSFER AND ENTROPY GENERATION BY TWO ADIABATIC OBSTACLES INSIDE A CAVITY AT DIFFERENT INCLINATION ANGLES

    Olanrewaju M. Oyewolaa,b,*, Samuel I. Afolabib

    Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-8, 2022, DOI:10.5098/hmt.19.20

    Abstract This paper investigates numerically the problem of convective heat transfer and entropy generation by two adiabatic obstacles positioned inside a square cavity heated at the left wall and cooled on the right wall while horizontal walls are adiabatic. The inclination angle of the cavity orientation investigated are 30, 60 and 90 degrees. Rayleigh numbers ranging from 103 to 106 were calculated for two vertical obstacles. The method of Galerkin finite element was employed to solve the conservation equations of mass, momentum and energy. The cavity is assumed to be filled with air with Prandtl number More >

  • Open Access

    ARTICLE

    NUMERICAL INVESTIGATION OF COUPLED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE LINEARLY HEATED SIDE WALL(S)

    Ravi Shankar Prasada,*, S.N. Singhb, Amit Kumar Guptac

    Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-11, 2022, DOI:10.5098/hmt.19.16

    Abstract The results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the uniformly heated bottom wall, linearly heated vertical side wall(s) and the adiabatic top wall is discussed. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., the Navier-Stokes Equation in the stream function – vorticity form and the Energy Equation are solved for a constant property fluid under the Boussinesq approximation. For discretization of these equations, the finite volume technique is used. More >

  • Open Access

    ARTICLE

    COMBINED NATURAL CONVECTION AND SURFACE RADIATION IN A SQUARE CAVITY WITH THE INVERSELY LINEARLY HEATED OPPOSITE SIDE WALLS

    Ravi Shankar Prasada,*,†, Ujjwal Kumar Nayaka, Rajen Kumar Nayaka, Amit Kumar Guptab

    Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-7, 2022, DOI:10.5098/hmt.19.4

    Abstract This paper presents the results of numerical analysis of coupled laminar natural convection and surface radiation in a two-dimensional closed square cavity with the inversely linearly heated vertical opposite side walls and the adiabatic top and bottom walls. The cavity is filled with natural air (Pr = 0.70) as the fluid medium. In the present study, the governing equations i.e., Navier-Stokes Equation in the stream function - vorticity form and Energy Equation are solved for a constant property fluid under the Boussinesq approximation. For discretization of these equations, the finite volume technique is used. For More >

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