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  • Open Access


    A Deterministic Mechanism for Side-branching in Dendritic Growth

    Shuwang Li1, Xiangrong Li1, John Lowengrub1,2, Martin Glicksman3

    FDMP-Fluid Dynamics & Materials Processing, Vol.4, No.1, pp. 27-42, 2008, DOI:10.3970/fdmp.2008.004.027

    Abstract In this paper, we suggest a deterministic mechanism for the generation and development of side-branches in dendritic growth. The present authors investigated recently [Glicksman, Lowengrub, and Li (2006)] the existence of such a deterministic branching mechanism induced through the Gibbs-Thomson-Herring (GTH [Herring (1951)]) anisotropic capillary boundary condition. In this paper, we focus our study on an anisotropic kinetic boundary condition. We develop and apply accurate boundary integral methods in 2D and 3D, in which a time and space rescaling scheme is implemented, that are capable of separating the dynamics of growth from those of morphology More >

  • Open Access


    Precursor Film Length Ahead Droplet Traveling on Solid Substrate

    I. Ueno1, T. Konisho2, T. Kawase3, T. Watanabe4

    FDMP-Fluid Dynamics & Materials Processing, Vol.4, No.1, pp. 21-26, 2008, DOI:10.3970/fdmp.2008.004.021

    Abstract The present authors carried out an experimental study with a special interest upon the dynamics of the fluid in the vicinity of the boundary line of three phases; solid-liquid-gas interface, which is so-called `contact line.' The moving droplet on the solid substrate is accompanied with the movement of the boundary line of three phases; solid-liquid-gas interface, which is so-called macroscopic 'contact line.' Existing studies have indicated there is a thin liquid film known as 'precursor film' ahead the contact line of the droplet. In the present study the precursor film was detected by applying conventional More >

  • Open Access


    Three-dimensional Simulations of Water-Mercury Anticonvection

    Thomas Boeck1, Alexander Nepomnyashchy2,3, Ilya Simanovskii2

    FDMP-Fluid Dynamics & Materials Processing, Vol.4, No.1, pp. 11-20, 2008, DOI:10.3970/fdmp.2008.004.011

    Abstract Anticonvection in a two-layer system of mercury and water is studied using three-dimensional direct numerical simulations with a Fourier-Chebyshev spectral method. The two fluid layers have equal thicknesses and are uniformly heated from above. Interface deformations and surface tension gradients are neglected. The quiescent state is replaced by steady hexagons upon increasing the heating from above. We investigate the destabilization of this primary convective pattern in a small and in a large computational domain upon increasing the temperature difference across the two fluid layers. For the large domain the convection cells become disordered at about More >

  • Open Access


    Determination of Non-Equilibrium Surface Tension Gradients in Marangoni Thermal Flows: Application to Aqueous Solutions of Fatty Alcohols

    G.Pétré1, K.Tshinyama, A. Azouni2, S. Van Vaerenbergh1

    FDMP-Fluid Dynamics & Materials Processing, Vol.4, No.1, pp. 1-10, 2008, DOI:10.3970/fdmp.2008.004.001

    Abstract This study illustrates a relevant and practical method to determine the effective surface tension gradient in a layer subjected to a lateral temperature difference. In general, this can be hardly performed in situ without perturbing the flow. For this reason we rely on an indirect determination approach. A simple model is developed that relates the surface tension gradient to other quantities that can be measured without introducing significant disturbances in the system. Measurements of these quantities are performed in a set-up where the flow corresponds with a good approximation to a one-dimensional model. A previously used More >

  • Open Access


    Simulation of Sloshing with the Volume of Fluid Method

    M.H. Djavareshkian1, M. Khalili2

    FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.4, pp. 299-308, 2006, DOI:10.3970/fdmp.2006.002.299

    Abstract This paper opens a new horizon on the simulation of sloshing phenomena. One of the most popular Finite Volume methods called VOF (Volume Of Fluid) method is used for tracking the flow in containers. The algorithm is tested for different fluid elevations, physical conditions in different road curves and liquid properties. The method is then validated against an analytical and another numerical solution. These comparisons show that the VOF can effectively solve the sloshing problem for different fluids and a variety of physical and geometrical conditions. More >

  • Open Access


    The Influence of Flow Pressure Gradient on Interfacial Wave Properties in Annular Two-Phase Flow at Microgravity and Normal Gravity Conditions

    Huawei Han1, Kamiel S. Gabriel2

    FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.4, pp. 287-298, 2006, DOI:10.3970/fdmp.2006.002.287

    Abstract Data on air-water co-current two-phase annular flow in a tube with an inner diameter of 9.525 mm (3/8 in) were previously collected at both microgravity u-g and normal gravity (1-g) conditions. The data contained measurements of pressure drop, in addition to previously published data of liquid film thickness. This paper presents the results and analysis of the influence of flow pressure gradient on interfacial wave properties of annular flow at both microgravity and normal gravity. The examined wave properties include wave base thickness, wave height (or roughness height), wave spacing, wave speed and wave frequency.… More >

  • Open Access


    Permeability and Thermodiffusion Effect in a Porous Cavity Filled with Hydrocarbon Fluid Mixtures

    T. J Jaber1, M. Khawaja1, M.Z. Saghir1

    FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.4, pp. 271-286, 2006, DOI:10.3970/fdmp.2006.002.271

    Abstract This paper numerically investigates the interaction between thermodiffuion and buoyancy driven convection in a laterally heated vertical porous cavity for different permeability. The Firoozabadi model is applied to binary hydrocarbon mixtures: (i) the mixture of 1,2,3,4 tetrahydronaphtalene (THN) and dodecane (C12) with mass fraction of 50% for each component, (ii) 1,2,3,4 tetrahydronaphtalene and isobutylbenzene (IBB) with mass fraction of 50% for each component, and (iii) isobutylbenzene and dodecane with mass fraction of 50% for each component. The thermal and molecular diffusion coefficients, which are functions of the temperature and other properties of mixture, are calculated More >

  • Open Access


    A Numerical Study of Controlling The G-Jitter Induced Convection in The Solution of A Crystal Growth Crucible under Microgravity

    Y. Okano1, A. Ishii1, H. Miyashita1, H. Minakuchi1, S. Dost2

    FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.4, pp. 261-270, 2006, DOI:10.3970/fdmp.2006.002.261

    Abstract The article presents the results of a numerical simulation study that was carried out to examine the effect of g-jitter on the flow and concentration structures observed in the solution of a growth crucible under microgravity conditions. The simulation model considers a simple crucible of electroepitaxy, and assumes crucible rotation and applied axial static magnetic fields to control and minimize the effect of g-jitter induced flow oscillations. More >

  • Open Access


    Modeling of Dendritic Growth in Alloy Solidification with Melt Convection

    C.P. Hong1, M.F. Zhu2, S.Y. Lee1

    FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.4, pp. 247-260, 2006, DOI:10.3970/fdmp.2006.002.247

    Abstract In typical solidification processes the flow of molten metal is usually regarded as an unavoidable phenomenon potentially affecting the morphology of dendritic growth. Fundamental understanding of such flow is thus important for predicting and controlling solidification microstructures. This paper presents numerical simulations on the evolution of dendritic microstructures with melt convection. A two-dimensional modified cellular automaton (MCA) coupled with a transport model is developed to simulate solidification of binary and ternary alloys in the presence of fluid flow. This model takes into account the effects of the constitutional undercooling and curvature undercooling on the equilibrium More >

  • Open Access


    Molten-Alloy Driven Self-Assembly for Nano and Micro Scale System Integration

    Ehsan Saeedi1, Shaghayegh Abbasi1, Karl F. B ¨ohringer1, Babak A. Parviz1

    FDMP-Fluid Dynamics & Materials Processing, Vol.2, No.4, pp. 221-246, 2006, DOI:10.3970/fdmp.2006.002.221

    Abstract Self-assembly is emerging as one of the main methods for construction of heterogeneous systems consisting of multiple component types in nano- and micro-scales. The engineered self-assembly used for system integration involves preparation of parts that can recognize and bind to each other or a template, and perfection of procedures that allow for high yield self-assembly of these parts into a system. Capillary forces resultant from molten alloys are attractive candidates for driving such self-assembly processes as they can simultaneously provide electrical and mechanical connections. The basic self-assembly process is reviewed here. Selection of the appropriate More >

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