Abstract
Two-dimensional steady natural convective flow in a square inclined enclosure with vertical vee-corrugated sidewalls and horizontal top and bottom surfaces has been numerically studied. A discrete heat flux strip of 24% of the total length is flush-mounted on the bottom wall, while the other non-heated parts of the bottom wall and the top wall are considered adiabatic. The two vee-corrugated sidewalls are maintained at constant cold temperature. Grashof number is varied from 103 to 106, corrugation frequency is varied from 0.5 to 2.0, corrugation amplitude has been fixed at 10% of the enclosure height and the enclosure inclination angle is varied to 0◦, 10◦, 20◦ and 30◦ respectively. The enclosure is filled with air (Pr = 0.71). The flow has been assumed to be steady and laminar. Fluid properties have been assumed constant except for the density change with temperature that gives rise to the buoyancy forces. The solution has been obtained using the governing equations written in terms of dimensionless variables. The dimensionless governing equations are solved using finite volume method. Results are presented in the form of streamline and isotherm plots. The results of the present work show that the natural convection phenomenon is greatly affected by increasing the enclosure inclination angle. The variation in the average Nusselt number at the bottom wall, where the heat source exists and the maximum dimensionless temperature are also presented. The results are compared and found to be in a good agreement with other published results.
Highlights
The phenomenon of natural convection heat transfer plays an important role, both in nature and in engineering systems
The main purpose of the present work is to study the effect of enclosure inclination angle on the natural convection in a square enclosure with vee-corrugated sidewalls subjected to constant flux heating from below
It is seen in this comparison that both average Nusselt numbers at the heated surface and maximum surface temperature are in good agreement with a maximum deviation of about 1.240%. This validation makes a good confidence in the present numerical model to deal with the same square enclosure configuration problem but it is considered inclined with different angles of inclination (Φ = 10◦, 20◦ and 30◦) to calculate the flow and thermal fields in the present work
Summary
The phenomenon of natural convection heat transfer plays an important role, both in nature and in engineering systems. Free convection heat transfer in air layers bounded by a lower hot veecorrugated plate and upper cold flat plate has been investigated by Elsherbiny et al [4]. A single correlation equation in terms of Nusselt number, Rayleigh number, tilt angle and aspect ratio was developed for the aspect ratio ranging from 1 to 4 and angle of inclination ranging from 0◦ to 60◦. They concluded that the convective heat transfer across an air layer bounded by vee-corrugated and flat plate was greater than those for parallel flat plates by a maximum of 40%
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