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Study of Steady, Two-Dimensional, Unicellular Convection in a Water-Copper Nanoliquid-Saturated Porous Enclosure Using Single-Phase Model

  • P. G. SiddheshwarEmail author
  • B. N. Veena
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

In the present paper, we study Brinkman-Bénard convection in nanoliquid-saturated porous enclosure with vertical walls being adiabatic and horizontal walls being isothermal for two velocity boundary combinations, namely, free-free (FF) and rigid-rigid (RR). Brinkman model has been modified in the present study to account for added nanoparticles. Thermophysical properties of nanoliquid in a saturated porous medium as a function of corresponding properties of base liquid, nanoparticle and porous medium are modelled using phenomenological laws and mixture theory. An analytical study has been made of Brinkman-Bénard convection in a porous enclosure using single-phase model. The effect of nanoparticles is to advance onset of convection and enhance heat transfer, whereas porous medium facilitates delayed onset and retainment of heat energy in the system. The present study shows good agreement with those of previous works.

Keywords

Porous enclosure Free-free Rigid-rigid and single-phase model 

Notes

Acknowledgements

One of the authors (BNV) would like to thank the University Grants Commission, Government of India for awarding her the “National Fellowship for Higher Education” to carry out her research. The authors thank the Bangalore University for encouragement and support.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsBangalore UniversityBangaloreIndia

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