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

Free Convection in Porous Media


Introduction

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

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

Domain Equations

Momentum and mass balances

Boussinesq buoyant lifting

term links flow and heat

Heat balance


Brinkman equations for porous media flow

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

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

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

Results

  • Dimensionless temperature

  • Velocity field


Concluding remarks

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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