Advertisement

Transport in Porous Media

, Volume 127, Issue 2, pp 329–352 | Cite as

An Investigation of Flow Across Porous Layer Wrapped Flat Tube Banks

  • N. Alvandifar
  • M. Saffar-AvvalEmail author
  • E. Amani
Article
  • 76 Downloads

Abstract

Performance of the staggered and inline tube bundles with three rows covered by a porous layer has been numerically studied from the viewpoint of the first and second law of thermodynamics. The results indicate that wrapping tubes with a porous layer bring about Nu number augmentation as well as pressure drop increment in comparison with the bare tube banks for both inline and staggered configurations and for both flat and circular tube shapes. In addition, bundles with porous layer wrapped flat tubes have a higher thermal performance and lower entropy generation rate than those of porous layer wrapped circular tubes, especially for the staggered configuration. The investigation on heat transfer, pressure drop and entropy generation rate is performed for different pitch spacings as well as different thicknesses of porous layer in order to find the optimal designs. The porous layer wrapped banks with flattened tubes show a great potential for application in heat exchangers.

Keywords

Heat transfer enhancement Flattened tube bank Porous medium Thermal performance Entropy generation 

List of symbols

CF

Forchheimer coefficient

cp

Specific heat, J/kg K

Df

Diameter of flat tube, m

Deq

Diameter of equivalent circular tube, m

f

Friction factor

FD

Drag force, N

h

Heat transfer coefficient, W/m2 K

K

Permeability of the porous media, m2

k

Thermal conductivity, W/m K

keff

Effective thermal conductivity, W/m K

\( \dot{m} \)

Mass flow rate, kg/s

Nrow

Number of tube rows

Ns

Entropy generation number

Ns,a

Augmentation entropy generation number

Nu

Nusselt number

P

Pressure, Pa

Pe

Peclet number

Re

Reynolds number

Pr

Prandtl number

St

Transverse pitch, m

Sl

Longitudinal pitch, m

\( \dot{S}_{\text{gen}} \)

Total entropy generation rate, W K−1

T

Temperature, K

U

Inlet velocity, m/s

φ

Porosity

µ

Viscosity, N s/m2

ρ

Density, kg/m3

Abbreviations

CTB

Circular tube bank

FTB

Flat tube bank

TP

Thermal performance

Subscript

f

Fluid

p

Porous

s

Tube surface

References

  1. Al-Salem, K., Oztop, H.F., Kiwan, S.: Effects of porosity and thickness of porous sheets on heat transfer enhancement in a cross flow over heated cylinder. Int. Commun. Heat Mass Transf. 38(9), 1279–1282 (2011)Google Scholar
  2. Al-Sumaily, G.F.: Forced convection heat transfer from a bank of circular cylinders embedded in a porous medium. J. Heat Transf. 136(4), 042602 (2014)Google Scholar
  3. Alvandifar, N., Saffar-Avval, M., Amani, E.: Partially metal foam wrapped tube bundle as a novel generation of air cooled heat exchangers. Int. J. Heat Mass Transf. 118, 171–181 (2018)Google Scholar
  4. Bahaidarah, H.M., Anand, N., Chen, H.: A numerical study of fluid flow and heat transfer over a bank of flat tubes. Numer. Heat Transf. A Appl. 48(4), 359–385 (2005)Google Scholar
  5. Bayat, H., Lavasani, A.M., Bolhasani, M., Moosavi, S.: Numerical study of flow around flat tube between parallel walls. Int. J. Mech. Aerosp. Ind. Mechatron. Manuf. Eng. World Acad. Sci. Eng. Technol. 92, 92 (2014a)Google Scholar
  6. Bayat, H., Lavasani, A.M., Maarefdoost, T.: Experimental study of thermal–hydraulic performance of cam-shaped tube bundle with staggered arrangement. Energy Convers. Manag. 85, 470–476 (2014b)Google Scholar
  7. Bejan, A.: Entropy generation minimization: the new thermodynamics of finite-size devices and finite-time processes. J. Appl. Phys. 79(3), 1191–1218 (1996)Google Scholar
  8. Bejan, A., Pfister, P.A.: Evaluation of heat transfer augmentation techniques based on their impact on entropy generation. Lett. Heat Mass Transf. 7(2), 97–106 (1980)Google Scholar
  9. Benarji, N., Balaji, C., Venkateshan, S.: Unsteady fluid flow and heat transfer over a bank of flat tubes. Heat Mass Transf. 44(4), 445 (2008)Google Scholar
  10. Bhattacharyya, S., Singh, A.: Augmentation of heat transfer from a solid cylinder wrapped with a porous layer. Int. J. Heat Mass Transf. 52(7), 1991–2001 (2009)Google Scholar
  11. Cheng, P.: Mixed convection about a horizontal cylinder and sphere in a fluid-saturated porous medium. Int. J. Heat Mass Transf. 25(8), 1245–1246 (1982)Google Scholar
  12. Combarnous, M.: Hydrothermal convection in saturated porous media. Adv. Hydrosci. 10, 231–307 (1975)Google Scholar
  13. El Gharbi, N., Kheiri, A., El Ganaoui, M., Blanchard, R.: Numerical optimization of heat exchangers with circular and non-circular shapes. Case Stud. Therm. Eng. 6, 194–203 (2015)Google Scholar
  14. Greenshields, C.J.: Openfoam user guide. OpenFOAM Foundation Ltd, version 3(1) (2015)Google Scholar
  15. Han, J.: Heat transfer and friction characteristics in rectangular channels with rib tabulators. J. Heat Transf. 110, 321–328 (1988)Google Scholar
  16. Hsu, C., Cheng, P.: Thermal dispersion in a porous medium. Int. J. Heat Mass Transf. 33(8), 1587–1597 (1990)Google Scholar
  17. Ibrahim, T.A., Gomaa, A.: Thermal performance criteria of elliptic tube bundle in crossflow. Int. J. Therm. Sci. 48(11), 2148–2158 (2009)Google Scholar
  18. Ishak, M., Tahseen, T.A., Rahman, M.M.: Experimental investigation on heat transfer and pressure drop characteristics of air flow over a staggered flat tube bank in crossflow. Int. J. Automot. Mech. Eng. 7, 900 (2013)Google Scholar
  19. Layeghi, M.: Numerical analysis of wooden porous media effects on heat transfer from a staggered tube bundle. J. Heat Transf. 130(1), 014501 (2008)Google Scholar
  20. Layeghi, M., Nouri-Borujerdi, A.: Fluid flow and heat transfer around circular cylinders in the presence and no-presence of porous media. J. Porous Media 7(3), 239–247 (2004)Google Scholar
  21. Li, Z., Davidson, J.H., Mantell, S.C.: Numerical simulation of flow field and heat transfer of streamlined cylinders in cross flow. J. Heat Transf. 128(6), 564–570 (2006)Google Scholar
  22. Matos, R., Laursen, T., Vargas, J., Bejan, A.: Three-dimensional optimization of staggered finned circular and elliptic tubes in forced convection. Int. J. Therm. Sci. 43(5), 477–487 (2004)Google Scholar
  23. Matos, R., Vargas, J., Laursen, T., Saboya, F.: Optimization study and heat transfer comparison of staggered circular and elliptic tubes in forced convection. Int. J. Heat Mass Transf. 44(20), 3953–3961 (2001)Google Scholar
  24. Mirabdolah Lavasani, A., Bayat, H., Maarefdoost, T.: Experimental study of convective heat transfer from in-line cam shaped tube bank in crossflow. Appl. Therm. Eng. 65(1–2), 85–93 (2014).  https://doi.org/10.1016/j.applthermaleng.2013.12.078 Google Scholar
  25. Moukalled, F., Mangani, L., Darwish, M.: The Finite Volume Method in Computational Fluid Dynamics. Springer, Switzerland (2016)Google Scholar
  26. Moulinec, C., Hunt, J., Nieuwstadt, F.: Disappearing wakes and dispersion in numerically simulated flows through tube bundles. Flow Turbul. Combust. 73(2), 95–116 (2004)Google Scholar
  27. Nield, D., Kuznetsov, A.: Forced convection in porous media: transverse heterogeneity effects and thermal development. In: Vafai, K. (ed.) Handbook of Porous Media, pp. 143–193. Taylor & Francis (2005)Google Scholar
  28. Nield, D.A., Bejan, A.: Convection in Porous Media, vol. 3. Springer, New York (2006)Google Scholar
  29. Nouri-Borujerdi, A., Lavasani, A.M.: Pressure loss and heat transfer characterization of a cam-shaped cylinder at different orientations. J. Heat Transf. 130(12), 124503 (2008)Google Scholar
  30. Odabaee, M., Hooman, K.: Application of metal foams in air-cooled condensers for geothermal power plants: an optimization study. Int. Commun. Heat Mass Transf. 38(7), 838–843 (2011)Google Scholar
  31. Odabaee, M., Hooman, K.: Metal foam heat exchangers for heat transfer augmentation from a tube bank. Appl. Therm. Eng. 36, 456–463 (2012)Google Scholar
  32. Odabaee, M., Hooman, K., Gurgenci, H.: Metal foam heat exchangers for heat transfer augmentation from a cylinder in cross-flow. Transp. Porous Media 86(3), 911–923 (2011)Google Scholar
  33. Park, J.M., Kim, O.J., Kim, S.J., Shin, Y.-C.: Heat transfer characteristics of circular and elliptic cylinders in cross flow. Adv. Mech. Eng. 7(11), 1687814015619553 (2015)Google Scholar
  34. Poulikakos, D., Bejan, A.: Fin geometry for minimum entropy generation in forced convection. J. Heat Transf. 104(4), 616–623 (1982)Google Scholar
  35. Rashidi, S., Tamayol, A., Valipour, M.S., Shokri, N.: Fluid flow and forced convection heat transfer around a solid cylinder wrapped with a porous ring. Int. J. Heat Mass Transf. 63, 91–100 (2013)Google Scholar
  36. Rocha, L., Saboya, F., Vargas, J.: A comparative study of elliptical and circular sections in one-and two-row tubes and plate fin heat exchangers. Int. J. Heat Fluid Flow 18(2), 247–252 (1997)Google Scholar
  37. Singh, R., Kasana, H.: Computational aspects of effective thermal conductivity of highly porous metal foams. Appl. Therm. Eng. 24(13), 1841–1849 (2004)Google Scholar
  38. Sobera, M.P., Kleijn, C.R., Van den Akker, H.E., Brasser, P.: Convective heat and mass transfer to a cylinder sheathed by a porous layer. AIChE J. 49(12), 3018–3028 (2003)Google Scholar
  39. Swain, A., Das, M.K.: Convective heat transfer and pressure drop over elliptical and flattened tube. Heat Transf. Asian Res. 45(5), 462–481 (2016)Google Scholar
  40. T’Joen, C., De Jaeger, P., Huisseune, H., Van Herzeele, S., Vorst, N., De Paepe, M.: Thermo-hydraulic study of a single row heat exchanger consisting of metal foam covered round tubes. Int. J. Heat Mass Transf. 53(15), 3262–3274 (2010)Google Scholar
  41. Tahseen, T.A., Ishak, M., Rahman, M.: A numerical study of forced convection heat transfer over a series of flat tubes between parallel plates. J. Mech. Eng. Sci. 3, 271–280 (2012)Google Scholar
  42. Tahseen, T.A., Rahman, M., Ishak, M.: Experimental study on heat transfer and friction factor in laminar forced convection over flat tube in channel flow. Procedia Eng. 105, 46–55 (2015)Google Scholar
  43. Tauscher, R., Mayinger, F.: Heat transfer enhancement in a plate heat exchanger with rib-roughened surfaces. In: Kakaç, S., Bergles, A.E., Mayinger, F., Yüncü, H. (eds.) Heat Transfer Enhancement of Heat Exchangers, pp. 207–221. Springer (1999)Google Scholar
  44. Webb, R.: Principles of Enhanced Heat Transfer, pp. 332–340. Wiley, New York (1994)Google Scholar
  45. Wen, J., Tang, D., Wang, Z., Zhang, J., Li, Y.: Large eddy simulation of flow and heat transfer of the flat finned tube in direct air-cooled condensers. Appl. Therm. Eng. 61(2), 75–85 (2013)Google Scholar
  46. Whitaker, S.: The Forchheimer equation: a theoretical development. Transp. Porous Media 25(1), 27–61 (1996)Google Scholar
  47. Wong, W.S., Rees, D.A.S., Pop, I.: Forced convection past a heated cylinder in a porous medium using a thermal nonequilibrium model: finite Peclet number effects. Int. J. Therm. Sci. 43(3), 213–220 (2004)Google Scholar
  48. Yilmaz, M., Comakli, O., Yapici, S., Sara, O.N.: Performance evaluation criteria for heat exchangers based on first law analysis. J. Enhanc. Heat Transf. 12(2), 21–35 (2005)Google Scholar
  49. Yilmaz, M., Sara, O., Karsli, S.: Performance evaluation criteria for heat exchangers based on second law analysis. Exergy Int. J. 1(4), 278–294 (2001)Google Scholar
  50. Žukauskas, A.: Heat transfer from tubes in crossflow. Adv. Heat Transf. 8, 93–160 (1972)Google Scholar

Copyright information

© Springer Nature B.V. 2018

Authors and Affiliations

  1. 1.Mechanical Engineering DepartmentAmirkabir University of Technology (Tehran Polytechnic)TehranIran

Personalised recommendations