Full Text

Abstract

This paper presents the numerical study of a conjugate heat transfer for two dimensional square cavity with two different materials. The analysis mainly focuses on variation in thickness ratios of solid blocks, which are attached to the top and bottom walls of the cavity, under natural convection. The range of the Rayleigh number is 103 ≤ Ra ≤ 106 in which the length of the square cavity is kept constant. Conjugate heat transfer in a square cavity is modeled with a linear heat flux at one side wall, the opposite wall is assumed to be cold wall at a constant temperature and other two walls are maintained adiabatic. The effects of stream line do not show any variation at low Rayleigh number; on the other hand, some substantial changes are seen with high Rayleigh number. The results of Nusselt number are better for copper compared to aluminum in the conjugate square cavity and the same increases with increasing Rayleigh number. The variation of thickness ratios is also studied for aluminum square cavity and found that the Nusselt number is betters for smaller thickness ratios.

References

1. Alsabery, A. I., Sheremet, M. A., Chamkha, A. J., & Hashim, I. (2018). conjugate natural convection of Al2O3-water nanofluid in a square cavity with a concentric solid insert using Buongiorno’s two-phase model, International Journal of Mechanical Sciences, 136, 200-219.

2. De Vahl Davis, G. (1983). Natural convection of air in a square cavity A Benchmark numerical solution, International Journal for Numerical methods in Fluids, 3, 249-264.

3. Kumar, A., & Balaji, C. (2010). A Principal Component Analysis and neural network based non-iterative method for inverse conjugate natural convection, International Journal of Heat and Mass Transfer, 53, 4684-4695.

4. Karatas, H., & Derbentli, T., (2017). Natural convection in rectangular cavities with one active vertical wall, International Journal of Heat and Mass Transfer, 105, 305-315.

5. Mobedi, M. (2008). Conjugate natural convection in a square cavity with finite thickness horizontal walls, International communication in Heat and Mass Transfer, 35, 503-513.

6. Natarajan, E., Roy, S., & Basak, T. (2007). Effect of Various Thermal Boundary Conditions on Natural Convection in a Trapezoidal Cavity with Linearly Heated Side Walls, International Journal in Numerical Heat Transfer (Part B), 52, 551-568.

7. Sathiyamoorthy, M., Basak, T., Roy, S., & Pop, I. (2007). Steady natural convection flow in a square cavity filled with a porous medium for linearly heated side walls, International Journal of Heat and Mass Transfer, 50, 1892-1901.

Keywords

conjugate natural convection, linear heat flux, thickness ratio and Nusselt number.