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  • Open Access

    ARTICLE

    CASSON FLUID FLOW DUE TO STRETCHING SHEET WITH MAGNETIC EFFECT AND VARIABLE THERMAL CONDUCTIVITY

    M. Y. Dhangea,*, G. C. Sankada, Ishwar Maharudrappab

    Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-6, 2022, DOI:10.5098/hmt.18.36

    Abstract The present paper investigates the impacts of heat transfer and magnetic field on the boundary layer flow of Casson fluid over a linearly stretching sheet. The researchers have introduced analytical and numerical solutions for the momentum and energy equations by transforming the equations into the system of ordinary differential equations with the aid of the similarity transformations technique. The velocity and temperature profiles for pertinent constraints like Casson fluid constraint, Chandrasekhar number, Prandtl number, and thermal conductivity are presented through graphs. The influence of the wall shear stress and the Prandtl number increases while the boundary layer thickness decreases. Further,… More >

  • Open Access

    ARTICLE

    Shape Effect of Nanoparticles on Nanofluid Flow Containing Gyrotactic Microorganisms

    Umair Rashid1, Azhar Iqbal2,*, Abdullah M. Alsharif3

    CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 483-494, 2023, DOI:10.32604/cmes.2022.020033

    Abstract In this paper, we discussed the effect of nanoparticles shape on bioconvection nanofluid flow over the vertical cone in a permeable medium. The nanofluid contains water, Al2O3 nanoparticles with sphere (spherical) and lamina (non-spherical) shapes and motile microorganisms. The phenomena of heat absorption/generation, Joule heating and thermal radiation with chemical reactions have been incorporated. The similarity transformations technique is used to transform a governing system of partial differential equations into ordinary differential equations. The numerical bvp4c MATLAB program is used to find the solution of ordinary differential equations. The interesting aspects of pertinent parameters on mass transfer, energy, concentration, and… More >

  • Open Access

    ARTICLE

    Radiation and Chemical Reaction Effects on Nanofluid Flow Over a Stretching Sheet

    Anupam Bhandari1,*

    FDMP-Fluid Dynamics & Materials Processing, Vol.15, No.5, pp. 557-582, 2019, DOI:10.32604/fdmp.2019.04108

    Abstract The present research aims to examine the steady state of the two-dimensional incompressible magnetohydrodynamics (MHD) flow of a micropolar nanofluid over a stretching sheet in the presence of chemical reactions, radiation and viscous dissipation. The effect of particle rotation is taken into account. A conducting fluid passes over a semi-infinite plate with variable temperature while a magnetic field is directed in the transverse direction. Results for velocity, angular momentum, temperature and concentration profiles are obtained for various values of Eckert number, Schmidt number, Prandtl number, thermophosis parameter and Brownian motion parameters. A similarity approach is used to transform the original… More >

  • Open Access

    ARTICLE

    Free-Space Fundamental Solution of a 2D Steady Slow Viscous MHD Flow

    A. Sellier1, S. H. Aydin2, M. Tezer-Sezgin3

    CMES-Computer Modeling in Engineering & Sciences, Vol.102, No.5, pp. 393-406, 2014, DOI:10.3970/cmes.2014.102.393

    Abstract The fundamental free-space 2D steady creeping MHD flow produced by a concentrated point force of strength g located at a so-called source point x0 in an unbounded conducting Newtonian liquid with uniform viscosity µ and conductivity σ > 0 subject to a prescribed uniform ambient magnetic field B = Be1 is analytically obtained. More precisely, not only the produced flow pressure p and velocity u but also the resulting stress tensor field σ are expressed at any observation point x ≠ x0 in terms of usual modified Bessel functions, the vectors g, x-x0 and the so-called Hartmann layer thickness d… More >

  • Open Access

    ARTICLE

    Simulation of Natural Convection Influenced by Magnetic Field with Explicit Local Radial Basis Function Collocation Method

    K. Mramor1, R. Vertnik2,3, B. Šarler1,3,4,5

    CMES-Computer Modeling in Engineering & Sciences, Vol.92, No.4, pp. 327-352, 2013, DOI:10.3970/cmes.2013.092.327

    Abstract The purpose of the present paper is to extend and explore the application of a novel meshless Local Radial Basis Function Collocation Method (LRBFCM) in solution of a steady, laminar, natural convection flow, influenced by magnetic field. The problem is defined by coupled mass, momentum, energy and induction equations that are solved in two dimensions by using local collocation with multiquadrics radial basis functions on an overlapping five nodded subdomains and explicit time-stepping. The fractional step method is used to couple the pressure and velocity fields. The considered problem is calculated in a square cavity with two insulated horizontal and… More >

  • Open Access

    ARTICLE

    A Meshless Local Petrov-Galerkin Method for Magnetic Diffusion in Non-magnetic Conductors

    J.N. Johnson1, J.M. Owen2

    CMES-Computer Modeling in Engineering & Sciences, Vol.22, No.3, pp. 165-188, 2007, DOI:10.3970/cmes.2007.022.165

    Abstract In this paper, we propose a Meshless Local Petrov-Galerkin method for studying the diffusion of a magnetic field within a non-magnetic (μ = μ0) conducting medium with non-homogeneous and anisotropic electrical resistivity. We derive a local weak form for the magnetic diffusion equation and discuss the effects of different trial/test functions and nodal spacings on its solution. We then demonstrate that the method produces convergent results for several relevant one-dimensional test problems for which solutions are known. This method has the potential to be combined with other mesh-free methods such as Smoothed Particle Hydrodynamics (SPH) to solve problems in resistive… More >

  • Open Access

    ARTICLE

    Slow Viscous Migration of a Conducting Solid Particle under the Action of Uniform Ambient Electric and Magnetic Fields

    A. Sellier1

    CMES-Computer Modeling in Engineering & Sciences, Vol.21, No.2, pp. 105-132, 2007, DOI:10.3970/cmes.2007.021.105

    Abstract We examine the low-Reynolds-number migration of a conducting and arbitrarily-shaped solid particle freely immersed in a metal liquid of different conductivity when subject to uniform ambient electric and magnetic fields. The boundary formulation established elsewhere for an insulating particle is extended and the incurred particle's rigid-body motion is then obtained by determinating a very few surface quantities on the particle's surface. The behavior of either oblate or prolate conducting spheroids is analytically investigated and the poposed procedure for the challenging case of other non-trivial geometries is implemented and benchmarked against those solutions. The numerical implementation makes it possible to obtain… More >

  • Open Access

    ARTICLE

    Magnetohydrodynamics Stability of Natural Convection During Phase Change of Molten Gallium in a Three-Dimensional Enclosure

    S. Bouabdallah1,2, R. Bessaïh1

    FDMP-Fluid Dynamics & Materials Processing, Vol.6, No.3, pp. 251-276, 2010, DOI:10.3970/fdmp.2010.006.251

    Abstract In this paper, a numerical study of magnetohydrodynamics stability during phase change of a pure metal (liquid Gallium) in a cubical enclosure is presented. An external magnetic field is applied in X-, Y-, and Z-directions separately. Two electric potential boundary conditions are considered: electrically conducting and insulating walls. The finite-volume method with enthalpy formulation is used to solve the mathematical model in the solid and liquid phases. The Grashof number is fixed at Gr =105and the Hartmann number is varied from Ha= 0 to 200. The effect of magnetic field on the flow field and heat transfer, and on the… More >

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