Darcys Law

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K Gawdzinska - One of the best experts on this subject based on the ideXlab platform.

  • an attempt to apply darcy s flow Law in mmc recycling process analysis
    Defect and Diffusion Forum, 2012
    Co-Authors: Dorota Nagolska, K Gawdzinska
    Abstract:

    To determine the possibility of carrying out the recycling process of metal-matrix composite castings with saturated reinforcement, only Dupre equation was used until now. Basing on this equation, one can determine superficial conditions in the system: liquid metal (matrix) solid reinforcement medium, favouring the process of autogenous outflow of liquid matrix from the porous reinforcement. It is however very difficult to determine the influence of the structure parameters of reinforcement preforms on examined process. Hence the need to preform analysis of process of liquid metal matrix outflow using Darcys Law of flow. Application of this Law allows replacing difficult to determine parameters of capillaries occurring in performs with one, quite simple to calculate parameter of permeability. It also makes possible defining the influence of temperature and time of recycling process on yield of matrix metal. To verify stated theses, study of permeability of selected reinforcement preforms and recycling of selected metal-matrix composites with saturated reinforcement was conducted. Furthermore, analysis of liquid metal matrix outflow process from studied preforms was performed, in aspect of application of Darcys Law.

Dorota Nagolska - One of the best experts on this subject based on the ideXlab platform.

  • an attempt to apply darcy s flow Law in mmc recycling process analysis
    Defect and Diffusion Forum, 2012
    Co-Authors: Dorota Nagolska, K Gawdzinska
    Abstract:

    To determine the possibility of carrying out the recycling process of metal-matrix composite castings with saturated reinforcement, only Dupre equation was used until now. Basing on this equation, one can determine superficial conditions in the system: liquid metal (matrix) solid reinforcement medium, favouring the process of autogenous outflow of liquid matrix from the porous reinforcement. It is however very difficult to determine the influence of the structure parameters of reinforcement preforms on examined process. Hence the need to preform analysis of process of liquid metal matrix outflow using Darcys Law of flow. Application of this Law allows replacing difficult to determine parameters of capillaries occurring in performs with one, quite simple to calculate parameter of permeability. It also makes possible defining the influence of temperature and time of recycling process on yield of matrix metal. To verify stated theses, study of permeability of selected reinforcement preforms and recycling of selected metal-matrix composites with saturated reinforcement was conducted. Furthermore, analysis of liquid metal matrix outflow process from studied preforms was performed, in aspect of application of Darcys Law.

Das Kalidas - One of the best experts on this subject based on the ideXlab platform.

  • Simultaneous Effects of Slip Conditions and Wall Properties on MHD Peristaltic Flow of a Maxwell Fluid with Heat Transfer
    Сибирский федеральный университет. Siberian Federal University., 2020
    Co-Authors: Дас Калидас, Das Kalidas
    Abstract:

    The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathe- matical formulation is based upon the modified Darcys Law. The analytical solution has been derived for the stream function and temperature under the assumptions of small wave number.The results obtained in the analysis have been discussed numerically and explained graphically.Было изучено влияние условий проскальзывания и теплопереноса на волнообразное магнитогид- родинамическое (МГД) течение максвелловской жидкости в пористом плоском канале с упруги- ми стенками. Математическая формулировка задачи основана на модифицированном уравнении Дарси. Аналитическое решение было получено для функции тока и температуры в предположе- нии малых волновых чисел. Полученные результаты представлены в численной и графической форме

Дас Калидас - One of the best experts on this subject based on the ideXlab platform.

  • Simultaneous Effects of Slip Conditions and Wall Properties on MHD Peristaltic Flow of a Maxwell Fluid with Heat Transfer
    Сибирский федеральный университет. Siberian Federal University., 2020
    Co-Authors: Дас Калидас, Das Kalidas
    Abstract:

    The effects of both wall slip conditions and heat transfer on the magnetohydrodynamics (MHD) peristaltic flow of a Maxwell fluid in a porous planar channel with elastic wall properties have been studied. Mathe- matical formulation is based upon the modified Darcys Law. The analytical solution has been derived for the stream function and temperature under the assumptions of small wave number.The results obtained in the analysis have been discussed numerically and explained graphically.Было изучено влияние условий проскальзывания и теплопереноса на волнообразное магнитогид- родинамическое (МГД) течение максвелловской жидкости в пористом плоском канале с упруги- ми стенками. Математическая формулировка задачи основана на модифицированном уравнении Дарси. Аналитическое решение было получено для функции тока и температуры в предположе- нии малых волновых чисел. Полученные результаты представлены в численной и графической форме

Kevin Burrage - One of the best experts on this subject based on the ideXlab platform.

  • numerical simulation of a new two dimensional variable order fractional percolation equation in non homogeneous porous media
    Science & Engineering Faculty, 2012
    Co-Authors: S Chen, Fawang Liu, Kevin Burrage
    Abstract:

    Percolation flow problems are discussed in many research fields, such as seepage hydraulics, groundwater hydraulics, groundwater dynamics and fluid dynamics in porous media. Many physical processes appear to exhibit fractional-order behavior that may vary with time, or space, or space and time. The theory of pseudodifferential operators and equations has been used to deal with this situation. In this paper we use a fractional Darcys Law with variable order Riemann-Liouville fractional derivatives, this leads to a new variable-order fractional percolation equation. In this paper, a new two-dimensional variable-order fractional percolation equation is considered. A new implicit numerical method and an alternating direct method for the two-dimensional variable-order fractional model is proposed. Consistency, stability and convergence of the implicit finite difference method are established. Finally, some numerical examples are given. The numerical results demonstrate the effectiveness of the methods. This technique can be used to simulate a three-dimensional variable-order fractional percolation equation.