SIMULATION OF FLOW WITHIN THE DIFFERENT CAVITIES USING SST K-Ω TURBULENCE MODEL

Abstract

This work is a three-dimensional investigation about the flow structure within three different cavities such as rectangular, triangular and semi-circular shapes using computational fluid dynamics. The present study is performed based on the Reynolds numbers of 1,000. The aspect ratio of all under consideration cavities is L/D=2. In order to simulate and study the flow characteristics, SST K-ω model is combined with Navier-Stokes equations and applied on the non-uniform multi-block grid systems based on the finite volume technique. For enhanced visualization, different time-averaged and instantaneous flow patterns are presented. Within the cavities three different vortex mechanisms including of primary, developing and corner vortices are observed. Examination of instantaneous flow data revealed that the rate of unsteadiness within the rectangular cavity is higher than two other cavities. Finally, it is stated that at Re=1,000, flow is two-dimensional with respect to stream-wise and normal directions

Keywords

• Cavity,Computational Fluid Dynamics (CFD),Finite volume method

References

1. Zhang, T., Shi, B., Chai, Z.: Lattice Boltzmann simulation of lid-driven flow in trapezoidal cavities. J. Computers and Fluids. 39, 1977-1989 (2010)
2. Povitsky, A.: Three-dimensional flow in cavity at yaw. J. Nonlinear Analysis. 63, 1573-1584, 2005.
3. Oueslati, F., Ben Beya, B., Lili, T.: Aspect ratio effects on three-dimensional incompressible flow in a two-sided non-facing lid-driven parallelepiped cavity. J. Comptes Rendus Mecanique. 339, 655-665, 2011.
4. Guermond, J.L., Migeon, C., Pineau, G., Quartapelle, L.: Start-up flows in a threedimensional rectangular driven cavity of aspect ratio 1:1:2 at Re = 1000. J. Fluid Mechanics. 450: 169-199, 2002.
5. Vasseur, P., Robillard, L., Anochiravani, I.: Natural convection in a shallow porous cavity heated from the side with a uniform heat flux. J. Chemical Engineering Communications. 46: 129-146, 1986.
6. Stefanovic, D.L., Stefan, H.G.: Simulation of transient cavity flows driven by buoyancy and shear. J. of Hydraulic research. 38, 181-195, 2011.
7. Zdanski, P.S.B., Ortega, M.A., Fico Jr, N.G.C.R.: On the flow over cavities of large aspect ratio: A physical analysis. J. International Communications in Heat and Mass Transfer. 33, 458- 466, 2006.
8. Saqr, K.M., Aly, H.S., Kassem, H.I., Mohsin, M.S., Wahid, M.A.: Computational of shear driven vortex flow in a cylindrical cavity using a modified k-ε turbulent model. J. International Communications in Heat and Mass Transfer. 37, 1072-1077, 2010.

9. Mesalhy, O.M., Abdel Aziz, S.S., El-Sayed, M.: Flow and heat transfer over shallow cavities. J. Thermal Science. 49, 514- 521, 2010.
10. Ozalp, C., Pinarbasi, A., Sahin, B.: Experimental measurement of flow past cvities of different shapes. J. Experimental Thermal and Fluid Science. 34, 505- 515, 2010.
11. Ho, C.J., Lin, F.H.: Numerical simulation of three-dimensional incompressible flow by a new formulation. Int. J. for Numerical Methods in Fluids. 23, 1073–1084, 1996.
12. Wei, J.J., Yu, B., Tao, W.Q., Kawaguchi, Y., Wang, H.S.: A new high-order-accurate and bounded scheme for incompressible flow. Numerical Heat Transfer, Part B: Fundamentals. 43, 19–41, 2003.
13. Gupta, M.M., Kalita, J.C.: New paradigm continued: further computations with streamfunction-velocity formulations for solving Navier–Stokes equations. Communications in Applied Analysis. 10, 461–490, 2006. Peng, S.H., Davidson,L.: Large eddy simulation for turbulent buoyant flow in a confined cavity. Int. J. Heat and Fluid Flow. 22, 323-331, 2001.
14. Diang, H., Shu, C., Yeo, K.S., Xu, D.: Numerical computation of three-dimensional ncompressible viscous flows in the primitive variable form by local multiquadric differential quadrature method. Computer Methods in Applied Mechanics and Engineering. 195, 516–533, 2006.
15. Menter, F.R.: Two-Equation Eddy-Viscosity Turbulence Models for Engineering Applications. AIAA Journal. 32, 1598-1605,1994.
16. Dewan, A.: Tackling Turbulent Flows in Engineering. Springer, Verlag Berlin Heidelberg, 2011.
17. Luo, S.B., Huang, W., Liu, J. Wang, Z.G.: Drag force investigation of cavities with different geometric configurations in supersonic flow. Science China Technological Science. 54(5), 1345-1350, 2011.