Porous Medium

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Adriana Neumann - One of the best experts on this subject based on the ideXlab platform.

  • Hydrodynamics of Porous Medium Model with Slow Reservoirs
    Journal of Statistical Physics, 2020
    Co-Authors: L. Bonorino, Renato De Paula, Patrícia Gonçalves, Adriana Neumann
    Abstract:

    We analyze the hydrodynamic behavior of the Porous Medium model (PMM) in a discrete space $$\{0,\ldots , n\}$$ { 0 , … , n } , where the sites 0 and n stand for reservoirs. Our strategy relies on the entropy method of Guo et al. (Commun Math Phys 118:31–59, 1988). However, this method cannot be straightforwardly applied, since there are configurations that do not evolve according to the dynamics (blocked configurations). In order to avoid this problem, we slightly perturbed the dynamics in such a way that the macroscopic behavior of the system keeps following the Porous Medium equation (PME), but with boundary conditions which depend on the reservoirs’ strength.

  • Porous Medium Model in Contact with Slow Reservoirs
    Springer Proceedings in Mathematics & Statistics, 2018
    Co-Authors: Renato De Paula, Patrícia Gonçalves, Adriana Neumann
    Abstract:

    We analyse the hydrodynamic limit of the Porous Medium model in contact with slow reservoirs which is given by a Porous Medium equation with Dirichlet, Robin or Neumann boundary conditions depending on the range of the parameter that rules the slowness of the reservoirs.

Ramin Mashayekhi - One of the best experts on this subject based on the ideXlab platform.

  • Computational modeling of Porous Medium inside a channel with homogeneous nanofluid
    Journal of Thermal Analysis and Calorimetry, 2019
    Co-Authors: Ali Bagheri Nohooji, Farzad Pourfattah, Davood Toghraie, Omid Ali Akbari, Ramin Mashayekhi
    Abstract:

    In the present study, the flow field and heat transfer have been simulated numerically inside a channel. The channel is under the constant heat flux. The main objective of this research is investigating the effect of the arrangement of the Porous Medium in water/Al_2O_3 nanofluid inside the channel on the flow and heat transfer characteristics. The effect of various arrangements of Porous Medium with two porosities and different volume fractions of nanoparticles has been investigated in a constant cross section of the Porous Medium. The results are validated with other references, and excellent consistency has been seen. The results show that using the Porous Medium has more effect on heat transfer than using nanofluid, and the arrangement of the Porous Medium has a strong influence on temperature profile and heat transfer. Based on the results, using stair arrangement of Porous Medium with the distance of 30 cm from each other and the length of 30 cm and using nanofluid with 0.02 volume fraction of Al_2O_3 nanoparticles have better performance than other considered arrangements.

David Smith - One of the best experts on this subject based on the ideXlab platform.

  • Solute Transport Through a Deforming Porous Medium
    Computational Mechanics–New Frontiers for the New Millennium, 2020
    Co-Authors: Glen P. Peters, David Smith
    Abstract:

    Solute transport through a Porous Medium is typically modeled assuming the Porous Medium is rigid. However, many applications exist where the Porous Medium is deforming, including municipal landfill liners, mine tailings dams, and land subsidence. In this paper, flow and transport equations for a deforming Porous Medium are presented in both spatial and material coordinate systems. Solute transport through an engineered landfill liner is used as an illustrative example to show the differences between the theory for a rigid Porous Medium, and small and large deformation analysis of a deforming Porous Medium. It is found that the large deformation model produces shorter solute breakthrough times, followed by the small deformation model, and then the rigid Porous Medium model. It is also shown that a nonlinear large deformation model may greatly reduce the solute breakthrough time.

  • Solute transport through a deforming Porous Medium
    International Journal for Numerical and Analytical Methods in Geomechanics, 2020
    Co-Authors: Glen P. Peters, David Smith
    Abstract:

    Solute transport through a Porous Medium is typically modelled assuming the Porous Medium is rigid. However, many applications exist where the Porous Medium is deforming, including, municipal landfill liners, mine tailings dams, and land subsidence. In this paper, mass balance laws are used to derive the flow and transport equations for a deforming Porous Medium. The equations are derived in both spatial and material co-ordinate systems. Solute transport through an engineered landfill liner is used as an illustrative example to show the differences between the theory for a rigid Porous Medium, and small and large deformation analysis of a deforming Porous Medium. It is found that the large deformation model produces shorter solute breakthrough times, followed by the small deformation model, and then the rigid Porous Medium model. It is also found that it is important to include spatial and temporal void ratio variations in the large deformation analysis. It is shown that a non-linear large deformation model may greatly reduce the solute breakthrough time, compared to a standard transport analysis typically employed by environmental engineers. Copyright © 2002 John Wiley & Sons, Ltd.

Zhiguo Zhao - One of the best experts on this subject based on the ideXlab platform.

  • Impingement of hollow cone spray on hot Porous Medium
    Frontiers of Energy and Power Engineering in China, 2008
    Co-Authors: Zhiguo Zhao
    Abstract:

    To have a good understanding of the formation of homogenous mixture in a Porous Medium engine, the interaction between hollow cone spray and hot Porous Medium was studied numerically by using an improved version of KIVA-3V code. The improved KIVA-3V code is incorporated with an impingement model, heat transfer model and linearized instability sheet atomization (LISA) model to simulate the hollow cone spray. The reasonability of the impingement model and heat transfer model was validated. With a simple model to describe the structure of the Porous Medium, the interaction between hollow cone spray and hot Porous Medium was simulated under different ambient pressures and spray cone angles. Computational results show that the fuel spray could be divided into smaller ones, which provides conditions for the quick evaporation of fuel droplets and the mixing of fuel vapor with air. Differences in ambient pressure and spray cone angle affect the distribution of droplets in the Porous Medium.

Ali Bagheri Nohooji - One of the best experts on this subject based on the ideXlab platform.

  • Computational modeling of Porous Medium inside a channel with homogeneous nanofluid
    Journal of Thermal Analysis and Calorimetry, 2019
    Co-Authors: Ali Bagheri Nohooji, Farzad Pourfattah, Davood Toghraie, Omid Ali Akbari, Ramin Mashayekhi
    Abstract:

    In the present study, the flow field and heat transfer have been simulated numerically inside a channel. The channel is under the constant heat flux. The main objective of this research is investigating the effect of the arrangement of the Porous Medium in water/Al_2O_3 nanofluid inside the channel on the flow and heat transfer characteristics. The effect of various arrangements of Porous Medium with two porosities and different volume fractions of nanoparticles has been investigated in a constant cross section of the Porous Medium. The results are validated with other references, and excellent consistency has been seen. The results show that using the Porous Medium has more effect on heat transfer than using nanofluid, and the arrangement of the Porous Medium has a strong influence on temperature profile and heat transfer. Based on the results, using stair arrangement of Porous Medium with the distance of 30 cm from each other and the length of 30 cm and using nanofluid with 0.02 volume fraction of Al_2O_3 nanoparticles have better performance than other considered arrangements.