Numerical Analysis in a Lid-Driven Square Cavity with Hemispherical Obstacle in the Bottom

Abstract

Incompressible fluid flow research uses lid-driven cavity as a benchmark issue to measure computer simulation accuracy. Flow within a hollow includes recirculation, turbulence, eddies, instability, impingement, flow separation, attachment with walls (moving and stationary), fluid entrapment in the recirculation area, and other fluid flow phenomena. In this article, forced convection in a lid-driven square cavity with a sliding top wall and hemispherical obstruction is mathematically illustrated. This chamber filled with Newtonian fluid was exposed to a moving wall (5, 10, 15, and 20 m/s), as selected in the literature. The finite volume technique using the SIMPLER algorithm is used to solve the complete governing equations with the Boussinesq approximation, whereas the analytical approach uses the parallel flow assumption. The moving wall disrupts the cavity's flow field, according to the results. Also, moving wall produces great mixing between the flow field below it and the hollow. The static pressure fluctuates from 0.6 m to 1 m (contact with the moving wall). Also, dynamic pressure increases linearly until 0.7 m, then decreases linearly until 1 (contact with the moving wall). In addition, the inner surface's velocity varies randomly along the location while the others remain constant.

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