A finite element solution of double diffusive convection

✍ Scribed by V. Dakshina Murty

• Publisher: Elsevier Science
• Year: 1988
• Tongue: English
• Weight: 436 KB
• Volume: 15
• Category: Article
• ISSN: 0735-1933
• DOI: 10.1016/0735-1933(88)90063-2

✦ Synopsis

The finite element method is used to analyze double diffusive convection in a rectangular box. The dimensions of the domain are chosen such that it matches exactly with a unit cell. Three cases are studied which correspond to three sets of boundary conditions on the walls. Numerical results are presented for Prandtl numbers from 0.i to I0.0 and thermal Rayleigh number ranging from 2,000 to i0,000. Solute Rayleigh number is held constant at 1,000 throughout the study. The type of element used is the eight noded element with all dependent variables except the pressure interpolated quadratically and the pressure interpolated linearly. Numerical results are presented in terms of isotherms, streamlines, and isohals. Oscillatory solutions are obtained for a certain range of thermal Rayleigh numbers from the steady state algorithm. The oscillations can be seen in terms of the numerical solution oscillating from iteration to iteration about a mean solution.

r ,~V' ~V'~ T' C' ~ 2 z Lu ~.r~ --~ (3) __ v'T~" j-Pa -m * V' v' Pr T S