**ABSTRACT**

The investigation reported in this paper is dealt about the steady-state laminar flow and heat transfer of a lid driven staggered cavity with the heated block. Based on the aspect ratio (AR = H/L = 0.5, H/L = 1, H/L = 2) three different block shapes are introduced for numerical experiments. The solid block with no slip and stationary wall condition is considered and it is located at the geometric center of the cavity. The simulations are carried out for Reynolds numbers 50, 100, 200, 300, 500, and 1000 and temperature of the block is 300 K. A clock-wise momentum is converged to the fluid, by the two driving lids on the top and bottom side of the cavity, lids are set into an anti-parallel wall motion. The upper lid moves to the right, while the lower one to the left, both are consider as same velocities. The results are found to be in good agreement with existing published results. It was found that the dynamics and the structure of the primary vortex and the corner vortices were strongly affected by the Reynolds number. The investigation clearly describes that increasing the Reynolds number values the overall drag coefficient decreases, similarly the value of average Nusselt number also increases with an increasing Reynolds number for all the values of different blocks under studied. The study reveals the important flow physics such as flow separation, boundary-layer and recirculation. The results will be beneficial for similar situation occur in many industrial problems.

**KEYWORDS**

PAPER SUBMITTED: 2019-01-20

PAPER REVISED: 2019-02-28

PAPER ACCEPTED: 2019-04-15

PUBLISHED ONLINE: 2019-09-22

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 4**, PAGES [S1281 - S1288]

- Aidun, C. K., et al., Global Stability of a Lid-Driven Cavity with Throughflow: Flow Visualization Studies, Physics of Fluids A: Fluid Dynamics, 3 (1991), 9, 2081
- Alleborn, N., et al., Lid-Driven Cavity with Heat and Mass Transport, International Journal of Heat and Mass Transfer, 42 (1999), 5, pp.833-853
- Zdanski, P. S. B., et.al., Numerical Study of the Flow Over Shallow Cavities, Computers & Fluids, 32 (2003), 7, pp. 953-974
- Ghia, U., et al., High-Re Solutions for Incompressible Flow using the Navier-Stokes Equations and a Multigrid Method, Journal of Computational Physics., 48 (1982), 3, pp. 387-411
- Gaskell, P. H., et al., Natural Convection in a Shallow Laterally Heated Air Filled Cavity. Communications in Numerical Methods in Engineering., 11 (1998), 11, pp. 938-950
- Shankar, P. N., Deshpande, Md., Fluid Mechanics of the Driven Cavity. Annual Review of Fluid Mechanics., 32 (2000), 1, pp. 93-136
- Sahin M., et al., A Novel Fully Implicit Finite Volume Method Applied to the Lid-Driven Cavity Problem - Part I: High Reynolds Number Flow Calculations, Int. J. Numer. Meth. Fluids.,42 (2003), 1, pp. 57-77
- Erturk, E., et al., Numerical Solutions of 2-D Steady Incompressible Driven Cavity flow at High Reynolds Numbers, International Journal for Numerical Methods in Fluids, 48 (2005), 7, pp. 747-774
- Luo, W. J., Yang, R. J., Multiple Fluid-flow and Heat Transfer Solutions in a Two-Sided Lid-Driven Cavity, International Journal of Heat and Mass Transfer, 50 (2007), 11-12, pp. 2394-2405
- Erturk, E., Discussion on Driven Cavity Flow, Int. J. Numerical Meth. Fluids., 60 (2009), 3, pp.275-294
- Wahba, E. M., Multiplicity of States for Two-Sided and Four-Sided Lid Driven Cavity Flows, Computers & Fluids, 38 (2009), 2, pp.247-253
- Zhou, Y. C., et al., DSC Solution for Flow in a Staggered Double Lid Driven Cavity, International Journal for Numerical Methods in Engineering., 57 (2003), 2, pp. 211-234
- Nithiarasu, P., Liu, C.-B., Steady and Unsteady Incompressible Flow in a Double Driven Cavity Using the Artificial Compressibility (AC)-Based Characteristic-Based Split (CBS) Scheme, International Journal for Numerical Methods in Engineering., 63 (2005), 3, pp. 380-397
- Tekic, P. M., et al., Lattice Boltzmann Simulation of Two-Sided Lid-Driven Flow in a Staggered Cavity. International Journal of Computational Fluid Dynamics., 24 (2010), 9, pp. 383390
- Nithiarasu, P., et al., Three Dimensional Incompressible Flow Calculations Using the Characteristic Based Split (CBS) Scheme, International Journal for Numerical Methods in Fluids., 44 (2003), 11, pp. 1207-1229