Numerical investigation on aluminum foam application in a tubular heat exchanger

  • Bernardo Buonomo
  • Anna di Pasqua
  • Davide Ercole
  • Oronzio Manca
  • Sergio Nardini
Original
  • 11 Downloads

Abstract

A numerical study has been conducted to examine the thermal and fluiddynamic behaviors of a tubular heat exchanger in aluminum foam. A plate in metal foam with a single array of five circular tubes is the geometrical domain under examination. Darcy–Forchheimer flow model and the thermal non-equilibrium energy model are used to execute two-dimensional simulations on metal foam heat exchanger. The foam is characterized by porosity and (number) pores per inch respectively equal to 0.935 and 20. Different air flow rates are imposed to the entrance of the heat exchanger with an assigned surface tube temperature. The results are provided in terms of local heat transfer coefficient and Nusselt number evaluated on the external surface of the tubes. Furthermore, local air temperature and velocity profiles in the smaller cross section, between two consecutive tubes are given. Finally, the Energy Performance Ratio (EPR) is evaluated in order to demonstrate the effectiveness of the metal foam.

Nomenclature

cp [J/kgK]

Specific heat

CF

Drag factor coefficient

d [m]

Tube diameter

df [m]

Fiber diameter

dp [m]

Pore diameter

f

Friction factor

h [W/m2K]

Heat transfer coefficient

H [m]

half pitch

Htot [m]

Heat exchanger height

j

Coulbourn factor

k [W/mK]

Thermal conductivity

K [m2]

Porous Permeability

L [m]

Length

Nu

Nusselt number

p [Pa]

Static pressure

Pr

Prandtl number

r [m]

Tube radius

Re

Reynolds number

s [m]

Circunferential cooordinate

T [K]

Temperature

u0 [m/s]

inlet velocity

u [m/s]

x-velocity

v [m/s]

y-velocity

V [m3]

Volume

x [m]

Cartesian axis direction

y [m]

Cartesian axis direction

Special characters

αsf [m2]

Area surface density

hsf [W/m2K]

Interfacial heat transfer coefficient

ρ [kg/m3]

Density

Δp [Pa]

Pressure drop

ε

Porosity

ω [m−1]

Pore per inch

μ [m2/s]

Dynamic viscosity

ψk

Generic scalar or vector

Subscripts

clean

System without foam

d

Diameter of tube

eff

Effective

f

Fluid phase of the porous zone

mf

Metal foam

k

Phase

s

Solid phase of the porous zone

Notes

Compliance with Ethical Standards

Conflict of Interest

On behalf of all authors, the corresponding author states that there is no conflict of interest.

References

  1. 1.
    Dukhan N (2012) Metal foam: Fundamentals and Applications. DESTech, PM, LancasterGoogle Scholar
  2. 2.
    Mahjoob S, Vafai K (2008) A synthesis of fluid and thermal transport models for metal foam heat exchangers. Int J Heat Mass Transf 51:3701–3711.  https://doi.org/10.1016/j.ijheatmasstransfer.2007.12.012 CrossRefMATHGoogle Scholar
  3. 3.
    Yuan W, Tang Y, Yang X, Wan Z (2012) Porous metal materials for polymer electrolyte membrane fuel cells – A review. Appl En 94:309–329.  https://doi.org/10.1016/j.apenergy.2012.01.073 CrossRefGoogle Scholar
  4. 4.
    Feng SS, Kuang JJ, Wen T, Lu TJ, Ichimiya K (2014) An experimental and numerical study of finned metal foam heat sinks under impinging air jet cooling. Int J Heat Mass Transf 77:1063–1074.  https://doi.org/10.1016/j.ijheatmasstransfer.2014.05.053 CrossRefGoogle Scholar
  5. 5.
    Zhao W, France DM, Yu W, Kim T, Singh D (2014) Phase change material with graphite foam for application in high-temperature latent heat storage systems of concentrated solar power plants. Renew Energy 69:134–146.  https://doi.org/10.1016/j.renene.2014.03.031 CrossRefGoogle Scholar
  6. 6.
    Huisseune H, De Schampheleire S, Ameel B, De Paepe M (2014) Evaluation of the thermal hydraulic performance of round tube metal foam heat exchangers for HVAC applications. Proceedings of the 15th Int. Heat Transfer Conf., IHTC-15, Kyoto, Japan, IHTC15–8831.  https://doi.org/10.1615/IHTC15.pmd.008831
  7. 7.
    Chumpia A, Hooman K (2015) Performance evaluation of tubular aluminum foam heat exchangers in single row arrays. Appl Therm Eng 83:121–130.  https://doi.org/10.1016/j.applthermaleng.2015.03.015 CrossRefGoogle Scholar
  8. 8.
    Zhao CY (2012) Review on thermal transport in high porosity cellular metal foams with open cells. Int J Heat Mass Transf 55:3618–3632.  https://doi.org/10.1016/j.ijheatmasstransfer.2012.03.017 CrossRefGoogle Scholar
  9. 9.
    Han XH, Wang Q, Park YG, Joen T, Sommers C, Jacobi A (2012) A review of metal foam and metal matrix composites for heat exchangers and heat sinks. Heat Transfer Eng 33:991–1009.  https://doi.org/10.1080/01457632.2012.659613 CrossRefGoogle Scholar
  10. 10.
    Muley A, Kiser C, Sundén B, Shah RK (2012) Foam Heat Exchangers: A Technology Assessment. Heat Transfer Eng 33:42–52.  https://doi.org/10.1080/01457632.2011.584817 CrossRefGoogle Scholar
  11. 11.
    Afolabi LO, Al-Kayiem HH, Aklilu TB (2014) Performance Analysis of Integrated Collector System with Immersed Coil Heat Exchanger. Appl Mech Mater 660:740–744.  https://doi.org/10.4028/www.scientific.net/AMM.660.740 CrossRefGoogle Scholar
  12. 12.
    Zafari M, Panjepour M, Emami MD, Meratian M (2015) Microtomography-based numerical simulation of fluid flow and heat transfer in open cell metal foams. App Therm Eng 80:347–354.  https://doi.org/10.1016/j.applthermaleng.2015.01.045 CrossRefGoogle Scholar
  13. 13.
    Xu HJ, Gong L, Zhao CY, Yang YH, Xu ZG (2015) Analytical considerations of local thermal non-equilibrium conditions for thermal transport in metal foams. Int J Therm Sc 95:73–87.  https://doi.org/10.1016/j.ijthermalsci.2015.04.007 CrossRefGoogle Scholar
  14. 14.
    Lin W, Sunden B, Yuan J (2013) A performance analysis of porous graphite foam heat exchangers in vehicles. Appl Therm Eng 50:1201–1210.  https://doi.org/10.1016/j.applthermaleng.2012.08.047 CrossRefGoogle Scholar
  15. 15.
    Kim SY, Paek JW, Kang BH (2000) Flow and Heat Transfer Correlations for Porous Fin in a Plate-Fin Heat Exchanger. ASME J Heat Transfer 122:572–578.  https://doi.org/10.1115/1.1287170 CrossRefGoogle Scholar
  16. 16.
    Boomsma K, Poulikakos D, Zwick F (2003) Metal foams as compact high performance heat exchangers. Mech Mater 35:1161–1176.  https://doi.org/10.1016/j.mechmat.2003.02.001 CrossRefGoogle Scholar
  17. 17.
    Odabaee M, Hooman K, Gurgenci H (2011) Metal Foam Heat Exchangers for Heat Transfer Augmentation from a Cylinder in Cross-Flow. Transp Porous Media 86:911–923.  https://doi.org/10.1007/s11242-010-9664-y CrossRefGoogle Scholar
  18. 18.
    Mao S, Love N, Leanos A, Rodriguez-Melo G (2014) Correlation studies of hydrodynamics and heat transfer in metal foam heat exchangers. Appl Therm Eng 71:104–118.  https://doi.org/10.1016/j.applthermaleng.2014.06.035 CrossRefGoogle Scholar
  19. 19.
    Huisseune HD, Schampheleire S, Ameel B, De Paepe M (2015) Comparison of metal foam heat exchangers to a finned heat exchanger for low Reynolds number applications. Int J Heat Mass Transf 89:1–9.  https://doi.org/10.1016/j.ijheatmasstransfer.2015.05.013 CrossRefGoogle Scholar
  20. 20.
    Vafai K (2015) Handbook of POROUS MEDIA, 3rd edn. CRC Press, New YorkMATHGoogle Scholar
  21. 21.
    Nield DA, Bejan A (2013) Convection in Porous Media, 4th edn. Springer, New YorkCrossRefMATHGoogle Scholar
  22. 22.
    Whitaker S (1998) The Method of Volume Averaging. Springer, NetherlandsGoogle Scholar
  23. 23.
    Calmidi VV (1998) Transport Phenomena in High Porosity Metal Foams. Ph.D. thesis, University of Colorado, BoulderGoogle Scholar
  24. 24.
    Bhattacharya A, Calmidi VV, Mahajan RL (2002) Thermophysical properties of High Porosity Metal Foams. Int J Heat Mass Transf 45:1017–1031.  https://doi.org/10.1016/s0017-9310(01)00220-4 CrossRefMATHGoogle Scholar
  25. 25.
    Calmidi VV, Mahajan RL (2000) Forced Convection in High Porosity Metal Foams. ASME J Heat Transfer 122:557–565.  https://doi.org/10.1115/1.1287793 CrossRefGoogle Scholar
  26. 26.
    Kok-Cheong W, Nawaf HS (2009) Numerical study of mixed convection on jet impingement cooling in a horizontal porous layer under local thermal non equilibrium conditions. Int J Therm Sc 48:860–870.  https://doi.org/10.1016/j.ijthermalsci.2008.06.004 CrossRefGoogle Scholar
  27. 27.
    Odabaee M, Hooman K (2012) Metal foam heat exchangers for heat transfer augmentation from a tube bank. Appl Therm Eng 36:456–463.  https://doi.org/10.1016/j.applthermaleng.2011.10.063 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria Industriale e dell’InformazioneUniversita degli Studi della CampaniaAversaItaly

Personalised recommendations