Averaged Governing Equation

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 12 Experts worldwide ranked by ideXlab platform

Cheng Peng - One of the best experts on this subject based on the ideXlab platform.

  • Study of Local Turbulence Profiles Relative to the Particle Surface in Particle-Laden Turbulent Flows
    Journal of Fluids Engineering, 2015
    Co-Authors: Lian-ping Wang, Oscar Gerardo Castro Ardila, Orlando Ayala, Hui Gao, Cheng Peng
    Abstract:

    As particle-resolved simulations (PRSs) of turbulent flows laden with finite-size solid particles become feasible, methods are needed to analyze the simulated flows in order to convert the simulation data to a form useful for model development. In this paper, the focus is on turbulence statistics at the moving fluid‐solid interfaces. An Averaged Governing Equation is developed to quantify the radial transport of turbulent kinetic energy when viewed in a frame moving with a solid particle. Using an interface-resolved flow field solved by the lattice Boltzmann method (LBM), we computed each term in the transport Equation for a forced, particle-laden, homogeneous isotropic turbulence. The results illustrate the distributions and relative importance of volumetric source and sink terms, as well as pressure work, viscous stress work, and turbulence transport. In a decaying particle-laden flow, the dissipation rate and kinetic energy profiles are found to be self-siimilar. [DOI: 10.1115/1.4031692]

Lian-ping Wang - One of the best experts on this subject based on the ideXlab platform.

  • Study of Local Turbulence Profiles Relative to the Particle Surface in Particle-Laden Turbulent Flows
    Journal of Fluids Engineering, 2015
    Co-Authors: Lian-ping Wang, Oscar Gerardo Castro Ardila, Orlando Ayala, Hui Gao, Cheng Peng
    Abstract:

    As particle-resolved simulations (PRSs) of turbulent flows laden with finite-size solid particles become feasible, methods are needed to analyze the simulated flows in order to convert the simulation data to a form useful for model development. In this paper, the focus is on turbulence statistics at the moving fluid‐solid interfaces. An Averaged Governing Equation is developed to quantify the radial transport of turbulent kinetic energy when viewed in a frame moving with a solid particle. Using an interface-resolved flow field solved by the lattice Boltzmann method (LBM), we computed each term in the transport Equation for a forced, particle-laden, homogeneous isotropic turbulence. The results illustrate the distributions and relative importance of volumetric source and sink terms, as well as pressure work, viscous stress work, and turbulence transport. In a decaying particle-laden flow, the dissipation rate and kinetic energy profiles are found to be self-siimilar. [DOI: 10.1115/1.4031692]

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

  • Exploring Compatibility of Sherwood-Gilland NAPL Dissolution Models with Micro-Scale Physics Using an Alternative Volume Averaging Approach
    Water, 2019
    Co-Authors: Scott K. Hansen
    Abstract:

    The dynamics of NAPL dissolution into saturated porous media are typically modeled by the inclusion of a reaction term in the advection-dispersion-reaction Equation (ADRE) with the reaction rate defined by a Sherwood-Gilland empirical model. This stipulates, among other things, that the dissolution rate is proportional to a power of the NAPL volume fraction, and also to the difference between the local average aqueous concentration of the NAPL species and its thermodynamic saturation concentration. Solute source models of these sorts are ad hoc and empirically calibrated but have come to see widespread use in contaminant hydrogeology. In parallel, a number of authors have employed the method of volume averaging to derive upscaled transport Equations describing the same dissolution and transport phenomena. However, these solutions typically yield forms of Equations that are seemingly incompatible with Sherwood-Gilland source models. In this paper, we revisit the compatibility of the two approaches using a radically simplified alternative volume averaging analysis. We begin from a classic micro-scale formulation of the NAPL dissolution problem but develop some new simplification approaches (including a physics-preserving transformation of the domain and a new geometric lemma) which allow us to avoid solving traditional closure boundary value problems. We arrive at a general, volume-Averaged Governing Equation that does not reduce to the ADRE with a Sherwood-Gilland source but find that the two approaches do align under straightforward advection-dominated conditions.

Oscar Gerardo Castro Ardila - One of the best experts on this subject based on the ideXlab platform.

  • Study of Local Turbulence Profiles Relative to the Particle Surface in Particle-Laden Turbulent Flows
    Journal of Fluids Engineering, 2015
    Co-Authors: Lian-ping Wang, Oscar Gerardo Castro Ardila, Orlando Ayala, Hui Gao, Cheng Peng
    Abstract:

    As particle-resolved simulations (PRSs) of turbulent flows laden with finite-size solid particles become feasible, methods are needed to analyze the simulated flows in order to convert the simulation data to a form useful for model development. In this paper, the focus is on turbulence statistics at the moving fluid‐solid interfaces. An Averaged Governing Equation is developed to quantify the radial transport of turbulent kinetic energy when viewed in a frame moving with a solid particle. Using an interface-resolved flow field solved by the lattice Boltzmann method (LBM), we computed each term in the transport Equation for a forced, particle-laden, homogeneous isotropic turbulence. The results illustrate the distributions and relative importance of volumetric source and sink terms, as well as pressure work, viscous stress work, and turbulence transport. In a decaying particle-laden flow, the dissipation rate and kinetic energy profiles are found to be self-siimilar. [DOI: 10.1115/1.4031692]

Orlando Ayala - One of the best experts on this subject based on the ideXlab platform.

  • Study of Local Turbulence Profiles Relative to the Particle Surface in Particle-Laden Turbulent Flows
    Journal of Fluids Engineering, 2015
    Co-Authors: Lian-ping Wang, Oscar Gerardo Castro Ardila, Orlando Ayala, Hui Gao, Cheng Peng
    Abstract:

    As particle-resolved simulations (PRSs) of turbulent flows laden with finite-size solid particles become feasible, methods are needed to analyze the simulated flows in order to convert the simulation data to a form useful for model development. In this paper, the focus is on turbulence statistics at the moving fluid‐solid interfaces. An Averaged Governing Equation is developed to quantify the radial transport of turbulent kinetic energy when viewed in a frame moving with a solid particle. Using an interface-resolved flow field solved by the lattice Boltzmann method (LBM), we computed each term in the transport Equation for a forced, particle-laden, homogeneous isotropic turbulence. The results illustrate the distributions and relative importance of volumetric source and sink terms, as well as pressure work, viscous stress work, and turbulence transport. In a decaying particle-laden flow, the dissipation rate and kinetic energy profiles are found to be self-siimilar. [DOI: 10.1115/1.4031692]