0

Full Content is available to subscribers

Subscribe/Learn More  >

Shooting Method for Good Estimates of the Eigenvalue in the Rayleigh-Bénard-Marangoni Convection Problem With General Boundary Conditions on Velocity and Temperature

[+] Author Affiliations
P. G. Siddheshwar

Bangalore University, Bangalore, India

B. R. Revathi

Nitte Meenakshi Institute of Technology, Bangalore, India

Paper No. IMECE2009-12761, pp. 915-924; 10 pages
doi:10.1115/IMECE2009-12761
From:
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 9: Heat Transfer, Fluid Flows, and Thermal Systems, Parts A, B and C
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4382-6 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME

abstract

The paper presents a numerical study of Rayleigh-Bénard-Marangoni convection in a Newtonian liquid that is bounded on the underside by a permeable boundary and on the upperside by a free boundary. General boundary conditions arise in the study on both the velocity and temperature and hence the problem is not amenable to analytical treatment. First the single-term Galerkin technique is used to obtain an estimate of the critical value of the Marangoni and wave numbers as a function of Rayleigh, Darcy and Biot numbers. The estimates are then improved upon by the shooting method which is based on the Runge-Kutta-Fehlberg and Newton-Raphson methods. The results are documented in 4 figures and a table, and some conclusions are made on comparing the present results with those of the classical Rayleigh-Bénard, Bénard-Marangoni and Rayleigh-Bénard-Marangoni convection problems.

Copyright © 2009 by ASME

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In