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    An approximate mathematical model for solidification of a flowing liquid in a microchannel 

    Myers, T.G.; Low, J. (2011)

    A mathematical model is developed to analyse the combined flow and solidification of a liquid in a small pipe or two-dimensional channel. In either case the problem reduces to solving a single equation for the position of ...

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    An approximate solution method for boundary layer flow of a power law fluid over a flat plate 

    Myers, T.G. (2011)

    The work in this paper deals with the development of momentum and thermal boundary layers when a power law fluid flows over a flat plate. At the plate we impose either constant temperature, constant flux or a Newton cooling ...

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    Application of the combined integral method to Stefan problems 

    Myers, T.G.; Mitchell, Sarah L. (2011)

    In this paper we present a new, accurate form of the heat balance integral method, termed the Combined Integral Method (or CIM). The application of this method to Stefan problems is discussed. For simple test cases the ...

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    Contact melting of a three-dimensional phase change material on a flat substrate 

    De Decker, Michelle M.; Myers, T.G. (2011)

    In this paper a model is developed to describe the three dimensional contact melting process of a cuboid on a heated surface. The mathematical description involves two heat equations (one in the solid and one in the melt), ...

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    Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions 

    Mitchell, Sarah L.; Myers, T.G. (2011)

    In this paper the two main drawbacks of the heat balance integral methods are examined. Firstly we investigate the choice of approximating function. For a standard polynomial form it is shown that combining the Heat Balance ...

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    Monopoles in arbitrary dimension 

    Díaz, Pablo; Lázaro-Camí, Joan-Andreu (2008-11)

    "Vegeu el resum a l'inici del document del fitxer adjunt."

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    Nonpersistence of resonant caustics in perturbed elliptic billiards 

    Pinto-de-Carvalho, Sònia; Ramírez Ros, Rafael (2011)

    Caustics are curves with the property that a billiard trajectory, once tangent to it, stays tangent after every reflection at the boundary of the billiard table. When the billiard table is an ellipse, any nonsingular ...

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    One-dimensional solidification of supercooled melts 

    Font Martínez, Francesc; Myers, T. G.; Mittchell, Sara L. (2012-11-01)

    In this paper a one-phase supercooled Stefan problem, with a nonlinear relation between the phase change temperature and front velocity, is analysed. The model with the standard linear approximation, valid for small ...

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    Reconstruction threshold for the hardcore model 

    Bhatnagar, Nayantara; Sly, Allan; Tetali, Prasad (2010-06)

    "Vegeu el resum a l'inici del document del fitxer adjunt."

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    Statistical similarity between the compression of a porous material and earthquakes 

    Baró, Jordi; Corral, Álvaro; Illa Vila, Xavier; Planes Vila, Antoni; Salje, Ekhard K. H.; Schranz, Wilfried; Soto-Parra, Daniel; Vives i Santa-Eulàlia, Eduard (2012-11-01)

    It has been long stated that there are profound analogies between fracture experiments and earthquakes; however, few works attempt a complete characterization of the parallelisms between these so separate phenomena. We ...