Multiple Solutions of Double-Diffusive Convection in Porous Media due to Opposing Heat and Mass Fluxes on Vertical Walls

• MASUDA Yoshio

  Advanced Industrial Science and Technology (AIST)

• YONEYA Michio

  Advanced Industrial Science and Technology (AIST)

• KIMURA Shigeo

  Institute of Nature and Environmental Technology, Kanazawa University

Abstract

The double-diffusive convection in a porous medium due to the opposing heat and mass fluxes on the vertical walls is solved analytically. In the former analysis, we investigated only when ω < π, the parameter arising from a combination among the density stratification and the buoyancy effects. However, it is shown in the present research that a solution is also possible when ω > π. The Sherwood number Sh is shown to decrease monotonically with an increase in the buoyancy ratio N when ω > π, and Sh approaches 1 when N is 1. We define N_min as the minimum value of N when Ω is imaginary and ω = π. N_min increases with an increase in R_c. However, N_min approaches a constant as Le increases. Furthermore, although the convection pattern is mainly temperature-driven, concentration-driven convection cells also exist under certain.

Journal

• Journal of Thermal Science and Technology

  Journal of Thermal Science and Technology 8 (3), 533-542, 2013

  The Japan Society of Mechanical Engineers and The Heat Transfer Society of Japan

Keywords

• Double Diffusion
• Porous Media
• Analytical Solution
• Numerical Solution
• Multiple Solutions

Details

• CRID: 1390282680223969792
• NII Article ID: 130003383978
• DOI: 10.1299/jtst.8.533
• BIBCODE: 2013JJTST...8..533M
• ISSN: 18805566
• Web Site: https://www.jstage.jst.go.jp/article/jtst/8/3/8_533/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed