Skip to main content

Numerical Simulation of Interfacial Effect on Natural Convection in a Partially Porous Cavity

  • Conference paper
Emerging Computation and Information teChnologies for Education

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 146))

Abstract

Natural convective flow and heat transfer in a cavity is studied numerically, in which a vertical porous layer along the left wall. Two-domain approach is applied to founded the model in the cavity. Brinkman-Forchheimer-Darcy equation was set for the flow in the porous medium and Navier-Stokes equation for the clear fluid region. 2D stress jump effect including tangential and normal stress was considered at the interface between the porous medium and clear fluid region. The results showed that the stream function maximum and average Nusselt number increases with the increase of tangential stress jump coefficient. For normal stress jump coefficient, similar change could be found except for Darcy number being 10− 3. However compared with the tangential stress jump, the influence of normal stress jump was small on flow and heat transfer.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Beavers, G.S., Joseph, D.D.: Boundary Conditions at a Naturally Permeable Wall. J. Fluid Mech. 30(1), 197–207 (1967)

    Article  Google Scholar 

  2. Ochoa-Tapia, J.A., Whitaker, S.: Momentum Transfer at the Boundary Between a Porous Medium and a Homogeneous Fluid-I. Theoretical Development. Int. J. Heat Mass Transfer 38(4), 2635–2646 (1995)

    Article  MATH  Google Scholar 

  3. Ochoa-Tapia, J.A., Whitaker, S.: Momentum Transfer at the Boundary between a Porous Medium and a Homogeneous Fluid-II. Comparison with Experiment. Int. J. Heat Mass Transfer 38(14), 2647–2655 (1995)

    Article  Google Scholar 

  4. Chan, H.C., Huang, W.C., Leu, J.M., Lai, C.J.: Macroscopic Modeling of Turbulent Flow over a Porous Medium. Int. J. Heat and Fluid Flow 28(5), 1157–1166 (2007)

    Article  Google Scholar 

  5. Deng, C., Martinez, D.M.: Viscous Flow in a Channel Partially Filled with a Porous Medium and Withwall Suction. Chemical Engineering Science 60(2), 329–336 (2005)

    Article  Google Scholar 

  6. Tan, H., Pillai, K.M.: Finite Element Implementation of Stress-jump and Stress-continuity Conditions at Porous-medium, Clear-fluid Interface. Computers & Fluids 38(6), 1118–1131 (2009)

    Article  MathSciNet  Google Scholar 

  7. Chen, X.B., Yu, P., Sui, Y., Winots, S.H., Low, H.T.: Natural convection in a cavity filled with porous layers on the top and bottom walls. Transp. Porous Med. 78, 259–276 (2009)

    Article  Google Scholar 

  8. Nithiarasu, P., Seetharamu, K.N., Sundararajan, T.: Natural convective heat transfer in a fluid saturated variable porosity medium. Int. J. Heat Mass Transfer 40(16), 3955–3967 (1997)

    Article  MATH  Google Scholar 

  9. Gobin, D., Goyeau, B.: Heat transfer by thermosolutal natural convection in a vertical composite fluid-porous cavity. Int. Comm. Heat Mass Transfer 26(8), 1115–1126 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Baoming Chen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag GmbH Berlin Heidelberg

About this paper

Cite this paper

Chen, B., Liu, F., Ji, X. (2012). Numerical Simulation of Interfacial Effect on Natural Convection in a Partially Porous Cavity. In: Mao, E., Xu, L., Tian, W. (eds) Emerging Computation and Information teChnologies for Education. Advances in Intelligent and Soft Computing, vol 146. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28466-3_39

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-28466-3_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28465-6

  • Online ISBN: 978-3-642-28466-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics