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  • Open Access

    ARTICLE

    A Study on Heat Transfer Enhancement through Various Nanofluids in a Square Cavity with Localized Heating

    Sheikh Hassan1, Didarul Ahasan Redwan1, Md. Mamun Molla1,2,*, Sharaban Thohura3, M. Abu Taher4, Sadia Siddiqa5

    Energy Engineering, Vol.118, No.6, pp. 1659-1679, 2021, DOI:10.32604/EE.2021.017657 - 10 September 2021

    Abstract A two-dimensional (2D) laminar flow of nanofluids confined within a square cavity having localized heat source at the bottom wall has been investigated. The governing Navier–Stokes and energy equations have been non dimensionalized using the appropriate non dimensional variables and then numerically solved using finite volume method. The flow was controlled by a range of parameters such as Rayleigh number, length of heat source and nanoparticle volume fraction. The numerical results are represented in terms of isotherms, streamlines, velocity and temperature distribution as well as the local and average rate of heat transfer. A comparative More >

  • Open Access

    ARTICLE

    Performance of Geometric Multigrid Method for Two-Dimensional Burgers’ Equations with Non-Orthogonal, Structured Curvilinear Grids

    Daiane Cristina Zanatta1,*, Luciano Kiyoshi Araki2, Marcio Augusto Villela Pinto2, Diego Fernando Moro3

    CMES-Computer Modeling in Engineering & Sciences, Vol.125, No.3, pp. 1061-1081, 2020, DOI:10.32604/cmes.2020.012634 - 15 December 2020

    Abstract This paper seeks to develop an efficient multigrid algorithm for solving the Burgers problem with the use of non-orthogonal structured curvilinear grids in L-shaped geometry. For this, the differential equations were discretized by Finite Volume Method (FVM) with second-order approximation scheme and deferred correction. Moreover, the algebraic method and the differential method were used to generate the non-orthogonal structured curvilinear grids. Furthermore, the influence of some parameters of geometric multigrid method, as well as lexicographical Gauss–Seidel (Lex-GS), η-line Gauss–Seidel (η-line-GS), Modified Strongly Implicit (MSI) and modified incomplete LU decomposition (MILU) solvers on the Central Processing… More >

  • Open Access

    ARTICLE

    A Staggered Grid Method for Solving Incompressible Flow on Unstructured Meshes

    Huawen Shu, Minghai Xu, Xinyue Duan*, Yongtong Li, Yu Sun, Ruitian Li, Peng Ding

    CMES-Computer Modeling in Engineering & Sciences, Vol.123, No.2, pp. 509-523, 2020, DOI:10.32604/cmes.2020.08806 - 01 May 2020

    Abstract A finite volume method based unstructured grid is presented to solve the two dimensional viscous and incompressible flow. The method is based on the pressure-correction concept and solved by using a semi-staggered grid technique. The computational procedure can handle cells of arbitrary shapes, although solutions presented in this paper were only involved with triangular and quadrilateral cells. The pressure or pressure-correction value was stored on the vertex of cells. The mass conservation equation was discretized on the dual cells surrounding the vertex of primary cells, while the velocity components and other scale variables were saved More >

  • Open Access

    ARTICLE

    A Numerical Study of the Transitions of Laminar Natural Flows in a Square Cavity

    Nouri Sabrina1,*, Abderrahmane Ghezal1, Said Abboudi2, Pierre Spiteri3

    FDMP-Fluid Dynamics & Materials Processing, Vol.14, No.2, pp. 121-135, 2018, DOI:10.3970/fdmp.2018.02045

    Abstract This paper deals with the numerical study of heat and mass transfer occurring in a cavity filled with a low Prandtl number liquid. The model includes the momentum, energy and mass balance equations. These equations are discretized by a finite volume technique and solved in the framework of a custom SIMPLER method developed in FORTRAN. The effect of the problem characteristic parameters, namely the Lewis and Prandtl numbers, on the instability of the flow and related solute distribution is studied for positive and negative thermal and solutal buoyancy forces ratio. Nusselt and Sherwood numbers are More >

  • Open Access

    ARTICLE

    COMPUTATIONAL INVESTIGATION OF DOUBLE-DIFFUSIVE MIXED CONVECTIVE FLOW IN AN ENCLOSED SQUARE CAVITY WITH SORET EFFECT

    C. G. Mohan, A. Satheesh*

    Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-13, 2017, DOI:10.5098/hmt.8.36

    Abstract In this study, a two-dimensional steady state double-diffusive mixed convective flow in a square cavity with Soret effect is presented. The numerical investigation is considered with two different conditions, (a) top and bottom walls move with same velocity (Uo) towards right and (b) top wall moves towards right and bottom wall moves towards left with the same velocity (Uo). The left and right walls remain stationary. The top and bottom walls are adiabatic; the left wall is maintained at high temperature and concentration. The right wall is maintained at low temperature and concentration. Governing equations More >

  • Open Access

    ARTICLE

    Cooling of electronic components using nanofluids

    M. Zitoune1, 2 , O. Ourrad Meziani2, B. Meziani2, M. Adnani1, 2

    FDMP-Fluid Dynamics & Materials Processing, Vol.12, No.1, pp. 33-55, 2016, DOI:10.3970/fdmp.2016.012.033

    Abstract A finite volume code used for detailed analysis of forced-convection flow in a horizontal channel containing eight heat sources simulating electronic components. The study deals the effect of variations of Reynolds number, the volume fraction and the good choice of type of nanoparticles added to the base fluid. The study shows that the rate of heat transfer increases with increasing Reynolds number and the volume fraction of nanofluids but not infinitely. The analysis of the dynamic and thermal field shows that the heat transfer is improved, with the increase in the Reynolds number and the More >

  • Open Access

    ARTICLE

    Natural Convection in a Square Cavity: Numerical Study for Different values of Prandtl Number

    ADNANI Massinissa1, MEZIANI Bachir2, OURRAD Ouerdia2, ZITOUNE Mounir1

    FDMP-Fluid Dynamics & Materials Processing, Vol.12, No.1, pp. 1-14, 2016, DOI:10.3970/fdmp.2016.012.001

    Abstract A numerical study of natural convection in a square cavity subjected to the thermals boundary conditions on the sidewalls is presented and discussed. The fluid is Newtonian and equations governing the flow field and the heat transfer are given in dimensionless form. The finite volume method was adopted to solve the algebraic system. Influence of the Prandtl and the Rayleigh numbers on heat transfer and the flow field is illustrated and discussed as the stream functions, isotherms, horizontal velocity, local and average Nusselt numbers. Results indicate that improved heat transfer is more pronounced with increasing More >

  • Open Access

    ARTICLE

    Numerical Simulation of Bubble Formation at a Single Orifice in Gas-fluidized Beds with Smoothed Particle Hydrodynamics and Finite Volume Coupled Method

    F.Z. Chen1,2, H.F. Qiang1, W.R. Gao1

    CMES-Computer Modeling in Engineering & Sciences, Vol.104, No.1, pp. 41-68, 2015, DOI:10.3970/cmes.2015.104.041

    Abstract A coupled method describing gas-solid two-phase flow has been proposed to numerically study the bubble formation at a single orifice in gas-fluidized beds. Solid particles are traced with smoothed particle hydrodynamics, whereas gas phase is discretized by finite volume method. Drag force, gas pressure gradient, and volume fraction are used to couple the two methods. The effect of injection velocities, particle sizes, and particle densities on bubble growth is analyzed using the coupled method. The simulation results, obtained for two-dimensional geometries, include the shape and diameter size of a bubble as a function of time; More >

  • Open Access

    ARTICLE

    Simulation of Three-dimensional Complex Flows in Injection Molding Using Immersed Boundary Method

    Qiang Li1

    CMES-Computer Modeling in Engineering & Sciences, Vol.94, No.3, pp. 207-224, 2013, DOI:10.32604/cmes.2013.094.207

    Abstract In this paper, an immersed boundary method (IBM) has been developed to simulate three-dimensional (3D) complex flows in the injection molding process, in which the irregular boundary of mould is treated by a level set function. The melt front (melt-air interface) is captured and treated using the coupled level set and volume of fluid (CLSVOF) method. The finite volume method on the nonstaggered meshes is implemented to solve the governing equations, and the melt filling process is simulated in a rectangular mould with both thick- and thin-wall sections. The numerical result shows good agreement with More >

  • Open Access

    ARTICLE

    A finite-volume method based on compact local integrated radial basis function approximations for second-order differential problems

    T.-T. Hoang-Trieu1, N. Mai-Duy1, C.-D. Tran1, T. Tran-Cong1

    CMES-Computer Modeling in Engineering & Sciences, Vol.91, No.6, pp. 485-516, 2013, DOI:10.3970/cmes.2013.091.485

    Abstract In this paper, compact local integrated radial basis function (IRBF) stencils reported in [Mai-Duy and Tran-Cong (2011) Journal of Computational Physics 230(12), 4772-4794] are introduced into the finite-volume / subregion - collocation formulation for the discretisation of second-order differential problems defined on rectangular and non-rectangular domains. The problem domain is simply represented by a Cartesian grid, over which overlapping compact local IRBF stencils are utilised to approximate the field variable and its derivatives. The governing differential equation is integrated over non-overlapping control volumes associated with grid nodes, and the divergence theorem is then applied to More >

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