A numerical study is made of double-diffusive convection in a square cavity with a sliding top lid in the presence of combined vertical temperature and concentration gradients. The bottom lid and other two walls are kept fixed. The side walls are adiabatic and impermeable to solute while the top and bottom lids are kept at constant but distinct temperature and concentration. The governing unsteady Navier–Stokes equations combined with the heat and mass transport equations are solved numerically through a finite volume method on a staggered grid system using QUICK scheme for convective terms. The resulting equations are then solved by an implicit, time-marching, pressure correction-based algorithm. The flow configuration is classified into four cases depending on positive/negative values of thermal Grashof number and solutal Grashof number. A detailed comparison of the four flow configurations is made in this paper. In conclusion, these four flow configurations can be brought to either stably or unstably stratified field. Furthermore, the possibility of salt-fingering and double-diffusive instability in the absence of the top lid motion is explored and the effect of the lid motion is clearly exhibited. The dependence of the average rates of heat and mass transfer from the top and bottom lids on the flow parameters is also investigated in the presence of top lid motion.
Skip Nav Destination
e-mail: ḏiitkgp@yahoo.com
Article navigation
December 2008
This article was originally published in
Journal of Heat Transfer
Research Papers
Stable/Unstable Stratification in Thermosolutal Convection in a Square Cavity
D. K. Maiti,
D. K. Maiti
Department of Mathematics,
e-mail: ḏiitkgp@yahoo.com
Birla Institute of Technology and Science
, Pilani 333031, India
Search for other works by this author on:
A. S. Gupta,
A. S. Gupta
Department of Mathematics,
Indian Institute of Technology
, Kharagpur 721302, India
Search for other works by this author on:
S. Bhattacharyya
S. Bhattacharyya
Department of Mathematics,
Indian Institute of Technology
, Kharagpur 721302, India
Search for other works by this author on:
D. K. Maiti
Department of Mathematics,
Birla Institute of Technology and Science
, Pilani 333031, Indiae-mail: ḏiitkgp@yahoo.com
A. S. Gupta
Department of Mathematics,
Indian Institute of Technology
, Kharagpur 721302, India
S. Bhattacharyya
Department of Mathematics,
Indian Institute of Technology
, Kharagpur 721302, IndiaJ. Heat Transfer. Dec 2008, 130(12): 122001 (10 pages)
Published Online: September 19, 2008
Article history
Received:
July 4, 2007
Revised:
June 6, 2008
Published:
September 19, 2008
Citation
Maiti, D. K., Gupta, A. S., and Bhattacharyya, S. (September 19, 2008). "Stable/Unstable Stratification in Thermosolutal Convection in a Square Cavity." ASME. J. Heat Transfer. December 2008; 130(12): 122001. https://doi.org/10.1115/1.2969757
Download citation file:
Get Email Alerts
Cited By
Entropic Analysis of the Maximum Output Power of Thermoradiative Cells
J. Heat Mass Transfer
Molecular Dynamics Simulations in Nanoscale Heat Transfer: A Mini Review
J. Heat Mass Transfer
Related Articles
Thermosolutal Convection in a Partly Porous Vertical Annular Cavity
J. Heat Transfer (August,2003)
Numerical Analysis of Interaction Between Inertial and Thermosolutal Buoyancy Forces on Convective Heat Transfer in a Lid-Driven Cavity
J. Heat Transfer (November,2010)
Transient Double Diffusive Convection in a Vertical Enclosure With Asymmetrical Boundary Conditions
J. Heat Transfer (August,2000)
Heat and Mass Transfer in a Peristaltic Micro Mixer
J. Heat Transfer (August,2003)
Related Proceedings Papers
Related Chapters
Laminar Fluid Flow and Heat Transfer
Applications of Mathematical Heat Transfer and Fluid Flow Models in Engineering and Medicine
Convection Mass Transfer Through Air–Water Interface
Case Studies in Fluid Mechanics with Sensitivities to Governing Variables
Completing the Picture
Air Engines: The History, Science, and Reality of the Perfect Engine