Free convection in porous media
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Free Convection in Porous Media. Introduction. This model exemplifies the use of COMSOL Multiphysics for modeling of free convection in porous media. It shows the following COMSOL Multiphysics features: Porous media flow Multiphysics between fluid flow and heat transfer

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Free Convection in Porous Media

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Free Convection in Porous Media


Introduction

  • This model exemplifies the use of COMSOL Multiphysics for modeling of free convection in porous media.

  • It shows the following COMSOL Multiphysics features:

    • Porous media flow

    • Multiphysics between fluid flow and heat transfer

    • Results that are in excellent agreement with published models in the research journals in the field

  • The model has applications mainly in the fields of:

    • Geophysics

    • Chemical engineering


Geometry, Heating and Cooling Surfaces

  • Enclosed domain with porous material

  • The walls of the domain are impervious to flow

  • The walls are either heating or cooling surfaces with linear temperature profiles uniting the cool and hot surfaces

  • The arc length s goes from zero to 1 along a boundary segment.

Tc

Th-(Th-Tc)*s

Tc

Th

Th-(Th-Tc)*s


Domain Equations

Momentum and mass balances

Boussinesq buoyant lifting

term links flow and heat

Heat balance


Brinkman equations for porous media flow

Solution technique: Parametric solver to increase bT from zero to problem- specific value

p = pressure

u=vector of directional velocities

h= dynamic viscosity

k= permeability

r= fluid density

g= gravity

bT= thermal expansion coefficient

T= temperature from heat transfer application

Tc= initial temperature


Convection and conduction

T = temperature

Ke= effective thermal conductivity of fluid and solid medium

CL= fluid volumetric heat capacity… CL= cpr

cp= fluid specific heat capacity

u = vector of directional fluid velocities from flow application


Boundary Conditions

  • Brinkman equations

no slip so velocity drops to zero at wall

for unique solution fix pressure at a point

  • Convection and conduction


Results

  • Dimensionless temperature

  • Velocity field


Concluding Remarks

  • The model is simple to define and solve in COMSOL Multiphysics

  • The results give excellent agreement with published scientific papers, see M. Anwar Hossain and Mike Wilson, Natural convection flow in a fluid-saturated porous medium enclosed by non-isothermal walls with heat generation, International Journal of Thermal Sciences,Int. J. Therm. Sci. 41 (2002) 447–454.


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