Mixed Convection in Lid Driven Square Cavity Using Finite Volume Method

Abstract:

A Finite volume based numerical study on lid driven cavity flow having partially heated bottom wall with constant heat flux is presented. Effect of Rayleigh number between 10³-10⁶, Richardson number ranging between 0.5 to 8 and length of heating zone (0.2, 0.5 and 0.8) has been studied. Rayleigh number represents the extent of thermal input and its rise leads to strengthening of convection effect. Formation of secondary vortices in cavity slows down due to combined effect of thermal heating and top wall movement. Temperature distribution gets increasingly nonlinear with rise in Richardson number and peak shifts towards the centre. Any increase in lid velocity causes drop in Ri and centre of the vortex shifts towards right part of the cavity. The peak velocity is observed in right half of the cavity due to top wall movement in that direction.

• Periodical: Applied Mechanics and Materials (Volumes 592-594)
• Pages: 1652-1656
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.592-594.1652
• Online since: July 2014
• Authors: M.Ashique Hassan*, Sarim Jamal
• Keywords: Finite Volume Method (FVM), Lid Driven Flow, Rayleigh Number, Richardson Number, Square Cavity

References

[1] U. Ghia, K. N. Ghia, C. T. Shin, J. of Computational Phy. 48 (1982) 387-411.

[2] E. Erturk, Int. J. for Numerical Methods in Fluids 60 (2009) 275-294.

[3] E. Erturk, T. C. Corke, C. Gokcol, Int. J. for Numerical Methods in Fluids 48 (2005) 747-774.

[4] M. Sahin, R. G. Owens, Int. J. for Numerical Methods in Fluids 42 (2003) 57-77.

[5] C. H. Bruneau, M. Saad, Computer and Fluids 35(3) (2006) 326-348.

[6] S. Chen, J. Tolke, S. Geller, M. Krafczyk, Physical Review E 78 (2008) P. 046703.

[7] R. Iwatsu, Int. J. Heat Mass Transfer 36 (1993) 1601-1608.

[8] A. K. Prasad, J. R. Koseff, Int. J. Heat Fluid Flow 17 (1996) 460-467.

[9] A. A. Mohamad, R. Viskanta, Int. J. Heat Mass Transfer 32 (1989) 2155-2166.

[11] T. Basak, S. Roy, P. K. Sharma, I. Pop, Int. J. Thermal Sciences 52 (2009) 891-912.

[12] M. A. Hassan, M. Pathak, M. K. Khan, ASME J. Heat Transfer 135 (2013) 122501.

[13] N. B. Cheikh, B. B. Beya, T. Lili: ASME J. Heat Transfer 129 (2007) 1060-1068.