Double Diffusive Convection in an Inclined Rectangular Cavity

Dr. Veena Jawali; D.R. Sasi Rekha

doi:https://doi.org/10.14445/22315373/IJMTT-V53P547

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 53 | Number 5 | Year 2018 | Article Id. IJMTT-V53P547 | DOI : https://doi.org/10.14445/22315373/IJMTT-V53P547

Double Diffusive Convection in an Inclined Rectangular Cavity

Dr. Veena Jawali, D.R. Sasi Rekha

Citation :

Dr. Veena Jawali, D.R. Sasi Rekha, "Double Diffusive Convection in an Inclined Rectangular Cavity," International Journal of Mathematics Trends and Technology (IJMTT), vol. 53, no. 5, pp. 380-396, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V53P547

Abstract

The natural convection which is caused by combined effect of temperature buoyancy and concentration buoyancy is studied analytically in an inclined tall rectangular cavity with uniform heat flux and mass flux along the vertical sides. The analytical part is true to the boundary layer regime where the heat transfer and mass transfer rates are governed by convection. An Oseen-linearized solution is for tall rectangular cavity filled with the combination characterized by Lewis number Le which is equal to one and arbitrary buoyancy ratios. The influence of the angle of inclination for different Rayleigh number Ra, on velocity and temperature distributions is determined. It is found that Nusselt number Nu and Sherwood number Sh increases the angle of inclination, passes through an apex and then begins to fall down. The effect of inclination on Nu and Sh is more identified as the Ra is increased. The apex of the Nu and Sh occurs at a lesser inclination angle when Ra is raised. The effect of Le is recorded by a similarity solution valid for Le beyond one in heat transfer driven flow, and for Le less than one in mass transfer driven flow.

Keywords

Convection, rectangular enclosure, inclination angle, cavity.

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