Natural convective heat transfer in a fluid saturated variable porosity medium

Nithiarasu, Perumal; Seetharamu, K. N.; Sundararajan, T.

doi:10.1016/s0017-9310(97)00008-2

Cited by 519 publications

(318 citation statements)

References 22 publications

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“…The values for 0 ε , b and c chosen to be 0.38, 1, and 2 respectively. These values were found to give good approximation to the variable porosity data given by Nithiarasu et al [12] for a particle diameter d=5 mm. The type of decay of porosity as the normal distance increases given by Equation (4) is well established and has been used extensively in studies on flow in porous media with variable porosity.…”

Section: Mathematical Analysissupporting

confidence: 67%

“…Equations (1) through (3) are supplemented by constitutive equations for the variations of the porosity permeability and thermal conductivity of the porous medium. It has been shown by Vafai [21] that the results obtained experimentally by Nithiarasu et al [12 ] in their study on void fraction distribution in packed beds gives the functional dependence of the porosity on the normal distance from the boundary and so the porosity can be represented by the exponential form 0 (e x p ( / ) )…”

Section: Mathematical Analysismentioning

confidence: 99%

See 1 more Smart Citation

Unsteady Mixed Convection Flow in the Stagnation Region of a Heated Vertical Plate Embedded in a Variable Porosity Medium with Thermal Dispersion Effects

Al-Harbi¹,

Hassanien²

2011

Developments in Heat Transfer

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Section: Mathematical Analysissupporting

confidence: 67%

Section: Mathematical Analysismentioning

confidence: 99%

Unsteady Mixed Convection Flow in the Stagnation Region of a Heated Vertical Plate Embedded in a Variable Porosity Medium with Thermal Dispersion Effects

Al-Harbi¹,

Hassanien²

2011

Developments in Heat Transfer

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“…All the example problems for flow in porous media have been taken from Nithiarasu et al [21,22]. We then proceed to model a directional binary alloy solidification example.…”

Section: Numerical Examplesmentioning

confidence: 99%

“…This problem is obtained from [22]. The dimensionless 1 × 1 domain along with the boundary conditions for velocity and temperature are shown in Figure 5.…”

Section: Example 2: Natural Convection In a Fluid Saturated Variable mentioning

confidence: 99%

A stabilized volume‐averaging finite element method for flow in porous media and binary alloy solidification processes

Zabaras

Samanta

2004

Numerical Meth Engineering

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SUMMARYA stabilized equal-order velocity-pressure finite element algorithm is presented for the analysis of flow in porous media and in the solidification of binary alloys. The adopted governing macroscopic conservation equations of momentum, energy and species transport are derived from their microscopic counterparts using the volume-averaging method. The analysis is performed in a single-domain with a fixed numerical grid. The fluid flow scheme developed includes SUPG (streamline-upwind/PetrovGalerkin), PSPG (pressure stabilizing/Petrov-Galerkin) and DSPG (Darcy stabilizing/PetrovGalerkin) stabilization terms in a variable porosity medium. For the energy and species equations a classical SUPG-based finite element method is employed. The developed algorithms were tested extensively with bilinear elements and were shown to perform stably and with nearly quadratic convergence in high Rayleigh number flows in varying porosity media. Examples are shown in natural and double diffusive convection in porous media and in the directional solidification of a binary-alloy.

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“…Recently, the Lattice Boltzmann method (LBM) has been widely used in the field relevant to fluid flow and gas transport at the mesoscale because of its efficiency and effectiveness in the implementation of multiple interparticle interactions and complex geometry boundary conditions [13][14][15]. Nithiarasu et al [16] proposed a generalized Navier-Stokes equation for isothermal incompressible flow in porous media, which ignores the detailed structure of the porous media by including an additional term to account for the presence of a porous medium. Guo and Zhao [9] developed an LB model which can be used to solve the generalized Navier-Stokes equations.…”

Section: Introductionmentioning

confidence: 99%

Multicomponent Lattice Boltzmann Simulations of Gas Transport in a Coal Reservoir with Dynamic Adsorption

et al. 2018

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Gas adsorption occurs when the dynamic adsorption equilibrium conditions of the local adsorptive sites are broken. In the overall process of unconventional natural gas generation, enrichment, storage, and production, this phenomenon plays a significant role. A double-distribution Lattice Boltzmann model for solving the coupled generalized Navier-Stokes equation and advection-diffusion equation with respect to the gas-solid dynamic adsorption process is proposed for multicomponent gas migration in the unconventional reservoir. The effective diffusion coefficient is introduced to the model of gas transport in the porous media. The Langmuir adsorption rate equation is employed to control the adsorption kinetic process of gas-solid adsorption/desorption. The model is validated in two steps through fluid flow without and with gas diffusion-adsorption between two parallel plates filled with porous media, respectively. Simulation results indicate that with other parameters being equal, the rate of gas diffusion in the porous material and the area of the dynamic adsorption equilibrium-associated region increase with the matrix porosity/permeability. Similar results will happen with a greater saturation adsorption amount or a lower Langmuir pressure. The geometric effect on adsorption is also studied, and it is found that a higher specific surface area or free flow region can enhance the gas transport and the rate of adsorption.

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Natural convective heat transfer in a fluid saturated variable porosity medium

Cited by 519 publications

References 22 publications

Unsteady Mixed Convection Flow in the Stagnation Region of a Heated Vertical Plate Embedded in a Variable Porosity Medium with Thermal Dispersion Effects

Unsteady Mixed Convection Flow in the Stagnation Region of a Heated Vertical Plate Embedded in a Variable Porosity Medium with Thermal Dispersion Effects

A stabilized volume‐averaging finite element method for flow in porous media and binary alloy solidification processes

Multicomponent Lattice Boltzmann Simulations of Gas Transport in a Coal Reservoir with Dynamic Adsorption

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