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OpenFOAM modelling of single-phase and two-phase heat transfer in square ducts partially filled with porous medium

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Abstract

The primary objective of the current computational research is to provide open-source solvers for studying heat transfer through media having pore implants for one-phase and multi-phase flow. The new solvers are created with the OpenFOAM framework. The Darcy–Forchheimer model is used to simulate the flow through the media with pores. The interface for a two-phase flow is tracked using the VOF phase fraction technique. The energy equations of these solvers are used with the local thermal equilibrium model and phase change model to calculate heat transfer in the presence of a porous media. The recently created solutions are tested against benchmark situations for both flows. In further case studies, the compactness and porousness of the porous medium are varied to examine the features of heat transport in square channels. It is discovered that, as compared to a channel without a porous medium, the transfer rate for single-phase flow is increased by a factor of 10.4. According to the results of the two-phase study, as the porousness of the porous medium increases, the percentage of vapour concentration and heat transfer rates also increase for thickness (compactness) ratios \((H_{\rm{p}}^ * ) > \,0.4\). For the channel with \(H_{\rm{p}}^ * = 0.4\), the rate of heat transfer is improved if the porosity of the porous matrix rises.

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Abbreviations

c p :

Specific heat at constant pressure, J·kg−1·K−1

C E :

Ergun’s coefficient, \({C_{\rm{E}}} = 1.75/\sqrt {150{\varepsilon ^3}} \)

H :

Height of square channel, m

H p :

Height or thickness of the porous medium, m

\(H_{\rm{p}}^ * \) :

Thickness ratio, \(H_{\rm{p}}^ * - {H_{\rm{p}}}/H\)

h fg :

Latent heat, kJ·kg−1

K :

Permeability of the porous medium, m2

k :

Conductivity, W·m−1·K−1

L :

Length of the duct, m

m :

Mass flow rate, kg·s−1

m‴ :

Volumetric mass transfer rate, kg·m−3·s−1

Nu :

Nusselt number, \(Nu = {q \over {{T_{\rm{w}}} - {T_{\rm{b}}}}}{H \over {{k_{{\rm{eff}}}}}}\)

p*:

Dimensionless pressure, \({p^ * } = p/\left( {^1{/_2}\rho u_{{\rm{in}}}^2} \right)\)

q :

Heat flux, W·m−2

R :

Gas constant, J·kg−1·K−1

S :

Source term, N·m−3

T* :

Dimensionless temperature, T* = (T − Tin)/(Tw − Tin)

T b :

Bulk fluid temperature, \({Y_{\rm{b}}} = \left[ {\int\limits_A {{{(\rho {c_p})}_{\rm{m}}}{\boldsymbol{u}}T{\rm{d}}A} } \right]/\left[ {\int\limits_A {{{(\rho {c_p})}_{\rm{m}}}{\boldsymbol{u}}{\rm{d}}A} } \right],{\rm{K}}\)

\(T_{\rm{b}}^ * \) :

Dimensionless bulk fluid temperature, \(T_{\rm{b}}^ * = ({T_{\rm{b}}} - {T_{{\rm{in}}}})/({T_{\rm{w}}} - {T_{{\rm{in}}}})\)

U* :

Ratio of local velocity to the inlet velocity, U* = U / Uin

X*, Y*, Z* :

Dimensionless coordinates, \({X^ * } = x/H,\,\,{Y^ * } = y/H,\,\,{Z^ * } = z/L\)

κ :

Curvature, m−1

ρ :

Density, kg·m−3

μ :

Dynamic viscosity, m2·s−1

ε :

Porosity

σ :

Surface tension, N·m−1

η :

Thermal diffusivity, m2·s−1

α :

Volume fraction

b:

bulk

c:

critical

eff:

effective

f:

fluid

in:

inlet

l:

liquid

m:

mean

out:

outlet

o:

initial

p:

porous

sat:

saturation

s:

solid

v:

vapour

w:

wall

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Authors and Affiliations

  1. Department of Mechanical Engineering, Amrita Vishwa Vidyapeetham, Amritapuri, Kollam, India

    Kattupurathu Scharia Bibin, Sarath Raj & Janardanan Sarasamma Jayakumar

  2. Department of Mechanical Engineering, T.K.M. College of Engineering, Kollam, 691005, Kerala, India

    Sarath Raj & Krishnan Kutty Elsy Bai Reby Roy

  3. Department of Mechanical Engineering, Mangalam College of Engineering, Kottayam, 686631, Kerala, India

    Kattupurathu Scharia Bibin

  4. Department of Mechanical Automobile Engineering, Sree Narayana Institute of Technology, Adoor, 691554, Kerala, India

    Sarath Raj

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  1. Kattupurathu Scharia Bibin
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Bibin, K.S., Raj, S., Jayakumar, J.S. et al. OpenFOAM modelling of single-phase and two-phase heat transfer in square ducts partially filled with porous medium. Exp. Comput. Multiph. Flow (2024). https://doi.org/10.1007/s42757-024-0189-y

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