1. Numerical Simulation of Natural Convection in a Differentially Heated Square Cavity Group No-20

2. Problem Statement

3. Assumptions 2D and steady state condition Incompressibility Radiation heat exchange and dissipations are negligible All thermal properties are constant except density in the buoyancy force Boussinesq approximation No slip condition

4. Introduction to COMSOL

5. Results: Velocity magnitude (m/s) (a) Ra = 10 3 (b) Ra = 10 4

6. Results: Temperature Contour (K) (a) Ra = 10 3 (b) Ra = 10 4

7. References 1. http://www.engineeringtoolbox.com/air-properties 2. Cong Qi, Yurong He, Shengnan Yan, Fenglin Tian…Numerical simulation of natural convection in a square enclosure filled with nanofluid using the two- phase Lattice Boltzmann method. Nanoscale Research Letters(2013). 3. G.DeVahl Davis, 1983, and Natural Convection of air in a square cavity: a benchmark numerical solution, International Journal of Numerical Methods in Fluids 3, 249-264 4. M. Belkadi, M. Aounallah,O. Imine and L. Adjlout,2006, Free convection in an inclined square cavity with partial partitions on a wavy hot wall, Progress in Computational Fluid Dynamics, Vol. 6, No. 7. 5. D.Akrour, R.Bennacer, D.Kalahe, Natural convection of air in a square cavity, Laboratoire de Mécanique des Fluides, Faculté de Physique

8. Thank you