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Now showing items 113 - 128 of 10824

  • Multicomponent Maxwell?Stefan Diffusivities at Infinite Dilution

    Liu, Xin   Bardow, Andre?   Vlugt, Thijs J. H.  

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  • Binding “Sucks”: A Response to Stefan Schorch

    Guillaume   Philippe  

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  • On a phase transition for semitransparent materials in terms of the Stefan problem

    N. A. Rubtsov   S. D. Sleptsov  

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  • Two-Phase Immiscible Flows in Porous Media: The Mesocopic Maxwell–Stefan Approach

    Shapiro   Alexander A.  

    We develop an approach to coupling between viscous flows of the two phases in porous media, based on the Maxwell-Stefan formalism. Two versions of the formalism are presented: the general form, and the form based on the interaction of the flowing phases with the interface between them. The last approach is supported by the description of the flow on the mesoscopic level, as coupled boundary problems for the Brinkmann or Stokes equations. It becomes possible, in some simplifying geometric assumptions, to derive exact expressions for the phenomenological coefficients in the Maxwell-Stefan transport equations. Sample computations show, among other, that apparent relative permeabilities are dependent on the viscosity ratio; that the overall mobility of the phases decreases compared to the standard Buckley-Leverett formalism; and that the effect is determined by the parameter determining the "degree of mixing" between the flowing phases. Comparison to the available experimental data on the steady-state two-phase relative permeabilities is presented.
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  • A novel algorithm for solving the classical Stefan problem

    Zhaochun, Wu   Jianping, Luo   Jingmei, Feng  

    A novel algorithm for solving the classic Stefan problem is proposed in the paper. Instead of front tracking, we preset the moving interface locations and use these location coordinates as the grid points to find out the arrival time of moving interface respectively. Through this approach, the difficulty in mesh generation can be avoided completely. The simulation shows the numerical result is well coincident with the exact solution, implying the new approach performes well in solving this problem.
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  • Stefan Karol Kozlowski,\r Thinking Mesolithic

    Rissetto   John D.  

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  • Stefan Clockaerts: ‘In Belgi? is er meer een laissez faire-mentaliteit’

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  • Corrected Stefan—Boltzmann Law and Lifespan of Schwarzschild-de-sitter Black Hole*

    Shi Yan (顔石)   Tang-Mei He (何唐梅)   Jing-Yi Zhang (张靖仪)  

    In this paper, we correct the Stefan—Boltzmann law by considering the generalized uncertainty principle, and with this corrected Stefan—Boltzmann law, the lifespan of the Schwarzschild-de-sitter black holes is calculated. We find that the corrected Stefan—Boltzmann law contains two terms, the T4 term and the T6 term. Due to the modifications, at the end of the black hole radiation, it will arise a limited highest temperature and leave a residue. It is interesting to note that the mass of the residue and the Planck mass is in the same order of magnitude. The modified Stefan—Boltzmann law also gives a correction to the lifespan of the black hole, although it is very small.
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  • Homogenization of a generalized Stefan problem in the context of ergodic algebras

    Frid, Hermano   Silva, Jean   Versieux, Henrique  

    Abstract We address the deterministic homogenization, in the general context of ergodic algebras, of a doubly nonlinear problem which generalizes the well known Stefan model, and includes the classical porous medium equation. It may be represented by the differential inclusion, for a real-valued function u(x,t) u ( x , t ) , ∂ ∂ t ∂ u Ψ ( x / ε , x , u ) − ∇ x ⋅ ∇ η ψ ( x / ε , x , t , u , ∇ u ) ∋ f ( x / ε , x , t , u ) , on a bounded domain Ω⊆Rn Ω ⊆ R n , t∈(0,T) t ∈ ( 0 , T ) , together with initial–boundary conditions, where Ψ(z,x,⋅) Ψ ( z , x , ⋅ ) is strictly convex and ψ(z,x,t,u,⋅) ψ ( z , x , t , u , ⋅ ) is a C1 C 1 convex function, both with quadratic growth, satisfying some additional technical hypotheses. As functions of the oscillatory variable, Ψ(⋅,x,u),ψ(⋅,x,t,u,η) Ψ ( ⋅ , x , u ) , ψ ( ⋅ , x , t , u , η ) and f(⋅,x,t,u) f ( ⋅ , x , t , u ) belong to the generalized Besicovitch space B2 B 2 associated with an arbitrary ergodic algebra A A . The periodic case was addressed by Visintin (2007), based on the two-scale convergence technique. Visintin's analysis for the periodic case relies heavily on the possibility of reducing two-scale convergence to the usual L2 L 2 convergence in the Cartesian product Π×Rn Π × R n , where Π is the periodic cell. This reduction is no longer possible in the case of a general ergodic algebra. To overcome this difficulty, we make essential use of the concept of two-scale Young measures for algebras with mean value, associated with bounded sequences in L2 L 2 .
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  • Logistic Heat Integral Methods for the One-Phase Stefan Problem

    Layeni, O. P.   Adegoke, A. M.  

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  • Case and agreement from fringe to core, by Stefan Keine

    Arkadiev   Peter M.  

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  • Response to the Book Review Symposium: Stefan Collini, What Are Universities For?

    Collini   S.  

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  • Simulation of the one-phase Stefan problem in a layer of a semitransparent medium

    Rubtsov, N. A.   Savvinova, N. A.   Sleptsov, S. D.  

    Radiative-conductive heat transfer in a semitransparent layer of a material with a phase transition is numerically simulated within the framework of solving the one-phase Stefan problem. Results of the solution describe the process of melting under equilibrium and nonequilibrium conditions of thermal energy supply. The possibility of simulation of thermal processes as applied to the development of both effective thermal protection and ideal technology of melting (evaporation) in layers of semitransparent materials is demonstrated.
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  • Stefan Grimme

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  • Stefan Zweig and the Land of the Future: The (His)story of an Uneasy Relationship

    Theo Harden  

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  • Stefan Grimme

    “My greatest achievement has been finishing a marathon run in reasonable time. Guaranteed to make me laugh is Loriot (German humorist). …” This and more about Stefan Grimme can be found on page 9074.
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