Analysis of vortical structures in a differentially heated lid driven cubical cavity

Analysis of vortical structures in a differentially heated lid driven cubical cavity

Hari P. RaniVekamulla Narayana Yadagiri Rameshwar 

Department of Mathematics, National Institute of Technology, Warangal 506004, India

Department of Mathematics, College of Engineering, Osmania University, Hyderabad 500007

Corresponding Author Email:
9 January 2018
20 April 2018
30 June 2018
| Citation



Analysis of the vortical structures arising in the system with respect to their control parameters is an important fundamental study. Studies in this regard have mostly been paid attention on a free convective cavity flow. Relatively few studies have been devoted on the characteristics of the vortical structures arising in the mixed convection cavity flows. Thus, it is aimed to analyse the vortical structures arising in a free and forced convective flow of air in a cubical cavity using the direct numerical simulations. Governing equations of this problem, expressed in dimensionless form are solved by using the finite volume method. The simulated results are corroborated with benchmark solutions. Numerical solutions are obtained for wide range of Reynolds number (Re) and Richardson number (Ri) (the mixed convection parameter). The flow and thermal characteristics are analysed using isotherms, velocity magnitude, vortex corelines and average Nusselt number. The simulated results show that the large values of Ri decrease the total heat transfer rate thus the conductive heat transfer prevails. While when Ri takes the small values and for amplified values of Re the complex 3D features are clearly seen and the vigorous forced convection enhances the global heat in the system.


mixed convection, Reynolds number, Richardson number, vortex coreline

1. Introduction
2. Physical System and Governing Equations
3. Validation
4. Results and Discussion
5. Conclusion

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