Advertisement

Mixed Convection in a Rectangular Enclosure with Temperature-Dependent Viscosity and Viscous Dissipation

  • A. Gómez López
  • B. Estela García Rojas
  • R. O. Vargas Aguilar
  • L. A. Martínez-SuásteguiEmail author
Conference paper
Part of the Environmental Science and Engineering book series (ESE)

Abstract

The problem of laminar opposing mixed convection inside a two-dimensional rectangular enclosure with asymmetrical heating is studied numerically using the vorticity-stream function formulation of the Navier-Stokes and energy equations. The model considers viscous dissipation and viscosity is assumed to vary with temperature according to an exponential relation, while other fluid properties are considered constant. Numerical experiments have been performed for fixed values of the geometrical parameters, Reynolds number of \(Re = 20\), Prandtl number of \(Pr = 3{,}060\), a range of Richardson numbers from 0 to 10, and Brinkman numbers ranging between 0 to 40. Streamlines, temperature contours, maximum fluid temperature and average Nusselt number at both walls are obtained. The results show that combined viscous dissipation and variable fluid viscosity can be important in the overall flow and heat transfer characteristics.

Keywords

Nusselt Number Viscous Dissipation Mixed Convection Richardson Number Local Nusselt Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

This work has been supported by the Consejo Nacional de la Ciencia y Tecnología (CONACyT), Grant No. 167474 and SIP-IPN 20131675.

References

  1. Aung W (1987) Handbook of single-phase convective heat transfer. Wiley, New YorkGoogle Scholar
  2. Barletta A (1998) Laminar mixed convection with viscous dissipation in a vertical channel. Int J Heat Mass Transf 41:3501–3513CrossRefGoogle Scholar
  3. Barletta A, Nield DA (2009) Mixed convection with viscous dissipation and pressure work in a lid-driven square enclosure. Int J Heat Mass Transf 52:4244–4253CrossRefGoogle Scholar
  4. Costa VAF (2006) Thermodynamics of natural convection in enclosures with viscous dissipation. Int J Heat Mass Transf 49:2215–2226CrossRefGoogle Scholar
  5. Hartnett J, Kostic M (1989) Heat transfer to Newtonian and non-Newtonian fluids in rectangular ducts, vol 10. Academic Press IncGoogle Scholar
  6. Hernández J, Zamora B (2005) Effects of variable properties and non-uniform heating on natural convection flows in vertical channels. Int Commun Heat Mass Transf 48:793–897CrossRefGoogle Scholar
  7. Kakaç S (1987) The effect of temperature-dependent fluid properties on convective heat transfer. In: Kakaç S, Shah RK, Aung W (eds) Handbook of single-phase convective heat transfer. Wiley, New YorkGoogle Scholar
  8. Peterson G, Ortega A (1990) Thermal control of electronic equipment and devices, vol 20. Academic Press IncGoogle Scholar
  9. Singh S, Sharif MAR (2003) Mixed convective cooling of a rectangular cavity with inlet and exit openings on differentially heated side walls. Numer Heat Tr A-Appl 44:233–253CrossRefGoogle Scholar
  10. Thom A (1933) The flow past circular cylinders at low speeds. Proc R Soc A 141:651–666CrossRefGoogle Scholar
  11. Zamora B, Hernández J (1997) Influence of variable property effects on natural convection flows in asymmetrically-heated vertical channels. Int Commun Heat Mass Transf 8:1153–1162CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • A. Gómez López
    • 1
  • B. Estela García Rojas
    • 2
  • R. O. Vargas Aguilar
    • 1
  • L. A. Martínez-Suástegui
    • 1
    Email author
  1. 1.ESIME Azcapotzalco, Instituto Politécnico NacionalMéxicoMexico
  2. 2.Departamento de Ingeniería y Ciencias QuímicasUniversidad IberoamericanaMéxicoMexico

Personalised recommendations