Publication Cover
Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 27, 1995 - Issue 1
25
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

NUMERICAL STUDY OF THREE-DIMENSIONAL LOW-Pr BUOYANCY AND THERMOCAPILLARY CONVECTION

, &
Pages 73-88 | Received 14 May 1993, Accepted 19 Jul 1993, Published online: 27 Feb 2007
 

Abstract

The problem of combined buoyancy and thermocapillary convection in an upright cube with a stop free surface is solved numerically. All other walls are considered to be solid and impermeable. The side walls are at uniform but different temperatures, while all other surfaces are adiabatic. The top surface deformation and interactions with the gaseous phase above are neglected. The Navier-Stokes, continuity, and energy equations are cast in the velocity-vorticity formulation and are discretized by using finite difference approximations. The solution procedure is of a three-level alternating direction implicit scheme. In order to save on computational cost, the equations were marched in time using the false transient technique. A typical 81 × 81 × 61 uniform staggered mesh has been used in the numerical computations, which were performed in double precision on a workstation. Results will be presented for a typical fluid with a low Prandtl number (Pr = 0.01). The effects of positive and negative Marangoni numbers on the three-dimensional convection at different Grashof numbers will be considered and discussed.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.