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Approximate Equation

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J W Rose – One of the best experts on this subject based on the ideXlab platform.

  • an Approximate Equation for the vapour side heat transfer coefficient for condensation on low finned tubes
    International Journal of Heat and Mass Transfer, 1994
    Co-Authors: J W Rose

    Abstract:

    Abstract Simplifying approximations, together with dimensional analysis, have been used to obtain a formula for the relation between the heat flux and vapour-side temperature difference for condensation on low, integral-finned tubes. The final result involves two unknown (disposable) constants which have been determined from heat-transfer data. The resulting Equation is found to be in satisfactory agreement with experimental data from 11 investigations with various condensing fluids and a range of fin and tube geometries.

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F. Zamponi – One of the best experts on this subject based on the ideXlab platform.

  • Amorphous packings of hard spheres in large space dimension
    Journal of Statistical Mechanics: Theory and Experiment, 2006
    Co-Authors: G. Parisi, F. Zamponi

    Abstract:

    In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An Approximate Equation of state for the glass and an estimate of the random close packing density were obtained in d=3. Here we show that the HNC approximation is not needed: the same expression can be obtained from the full diagrammatic expansion of the replicated free energy. Then, we consider the asymptotics of this expression when the space dimension d is very large. In this limit, the entropy of the hard sphere liquid has been computed exactly. Using this solution, we derive asymptotic expressions for the glass transition density and for the random close packing density for hard spheres in large space dimension.

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G. Parisi – One of the best experts on this subject based on the ideXlab platform.

  • Amorphous packings of hard spheres in large space dimension
    Journal of Statistical Mechanics: Theory and Experiment, 2006
    Co-Authors: G. Parisi, F. Zamponi

    Abstract:

    In a recent paper (cond-mat/0506445) we derived an expression for the replicated free energy of a liquid of hard spheres based on the HNC free energy functional. An Approximate Equation of state for the glass and an estimate of the random close packing density were obtained in d=3. Here we show that the HNC approximation is not needed: the same expression can be obtained from the full diagrammatic expansion of the replicated free energy. Then, we consider the asymptotics of this expression when the space dimension d is very large. In this limit, the entropy of the hard sphere liquid has been computed exactly. Using this solution, we derive asymptotic expressions for the glass transition density and for the random close packing density for hard spheres in large space dimension.

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