The present paper reports a cascaded collision lattice Boltzmann model for the simulation of an incompressible two-dimensional fluid flow in a porous media regime. The cascaded model is first validated for the nonporous regime using limiting conditions against previous finite element model reports. Subsequently, the cascaded collision model is applied to the lid-driven porous-filled cavity to demonstrate the largely augmented numerical stability of the model against the more common Bhatnagar–Gross–Krook and multiple relaxation time collision models. Finally, the cascaded model is applied to an inflow–outflow case of flow and heat transfer over a porous bluff body to showcase its efficiency in capturing the complex fluid and heat transport phenomenon through porous media. © 2017 Taylor & Francis.

Arvind Pattamatta

Department of Mechanical Engineering

Sampath Kumar Chinige

Electroosmosis

Flow of fluids

Heat transfer

Porous materials

Transport properties

CASCADED MODELS

Collision model

Flow and heat transfer

Its efficiencies

LATTICE BOLTZMANN MODELS

LIMITING CONDITION

MULTIPLE-RELAXATION TIME

TWO-DIMENSIONAL FLUID FLOW

finite element method

IIT Madras is a public technical and research university located in Chennai, Tamil Nadu. Founded in 1959, it is recognised as an Institute of National Importance.

IIT Madras has been ranked as the top engineering institute in India for four years in a row by the National Institutional Ranking Framework of the MHRD

It currently offers undergraduate, postgraduate and research degrees across 16 disciplines in Engineering, Sciences, Humanities and Management. About 596 faculty belonging to science and engineering departments and centres of the Institute are engaged in teaching, research and industrial consultancy.

IIT Madras

Cascaded collision lattice Boltzmann model (CLBM) for simulating fluid and heat transport in porous media

Numerical Heat Transfer, Part B: Fundamentals

Lattice Boltzmann method (LBM) is employed to investigate natural convection inside porous medium enclosures at high Rayleigh numbers. Volume averaged porous medium model is coupled with the lattice Boltzmann formulation of the momentum and energy equations for fluid flow. A parallel implementation of the single relaxation time LBM is used, which allows the porous medium modified Rayleigh number Ram to be as high as 108. Heat transfer results in the form of the enclosure averaged Nusselt number Nu are obtained for higher modified Rayleigh numbers 104 ≤ Ram ≤ 108. The Nu values are compared with values in the absence of the form drag term. The form drag due to the porous medium is found to influence Nu considerably. The effect of the form drag on Nu is studied by using a form drag modified Rayleigh number RaC (extended from Ram). Utilizing the results for Nu in the high Ram range, a correlation is proposed between Nu and RaC for Darcy numbers 10-6 ≤ Da ≤ 10-2, encompassing the non-Darcy flow regime. © 2011 American Society of Mechanical Engineers.

Journal of Heat Transfer

High Rayleigh number natural convection inside 2D porous enclosures using the lattice Boltzmann method

Incompressible, two-dimensional flow around a porous square cylinder placed in an infinite stream is simulated using the d2q9i model of the lattice Boltzmann method. The Reynolds number (based on the height of the cylinder) is kept at 100. The porosity φ of the cylinder is varied from 0.25 to 0.9 and permeability through the Darcy number Da from 0.0001 to 0.1. The velocity data at a point downstream of the cylinder are collected at each time step. Discrete Fourier transform analysis of this data is carried out to extract the dominant frequencies of the unsteady flow field behind the cylinder. Strouhal numbers (St) calculated using these dominant frequencies are compared with those of corresponding solid cylinder to bring out the effect of the porous medium on the wake structure and the vortex shedding. At Re=100, as the nondimensional permeability Da is increased from the solid cylinder limit, more flow results through the porous cylinder. The reduction in the value of the dominant frequency with increasing porous medium permeability Da and porosity φ indicates a substantial reduction in the vortex shedding. Corresponding static pressure plots and St values corroborate this observation at Re=100 and 200. © 2010 American Institute of Physics.

Fulltext

Physics of Fluids

Investigation of vortex shedding behind a porous square cylinder using lattice Boltzmann method

A generalised non-Darcian porous medium model for natural convective flow has been developed taking into account linear and non-linear matrix drag components as well as the inertial and viscous forces within the fluid. The results of the general model have been validated with the help of experimental data and compared with the various non-Darcy porous media model predictions reported in literature. It has been observed that the wall Nusselt number is significantly affected by the combination of dimensionless parameters such as Rayleigh number, Darcy number and porosity in the non-Darcy flow regime. A detailed parametric study has been presented for natural convective flow inside a rectangular enclosure filled with saturated porous medium of constant or variable porosity. It is observed that the thickness of the porous layer and the nature of variation in porosity significantly affect the natural convective flow pattern as well as the heat transfer features. The present model is also able to predict the channeling effect and associated heat transfer in forced flow through packed beds. © 1997 Elsevier Science Ltd.

International Journal of Heat and Mass Transfer

Natural convective heat transfer in a fluid saturated variable porosity medium

Fluid Flow in Fractured Porous Media

International Journal for Numerical Methods in Fluids

Numerical study of the properties of the central moment lattice Boltzmann method

Journal	Data powered by TypesetNumerical Heat Transfer, Part B: Fundamentals
Publisher	Data powered by TypesetTaylor and Francis Ltd.
ISSN	10407790
Open Access	No