Hybrid mesh finite element analysis (HMFEA) of uniformly heated cylinder in a partially heated moon shaped enclosure

Abstract

The present case study contains evaluation of hydrodynamic forces experienced by uniformly heated square cylinder being placed fixed in a partially heated moon shaped cavity. To be more specific, the partially heated moon shaped cavity is achieved by merging two circular enclosures with different radii and common center. The left uniformly heated arc length is treated as inlet of moon shaped cavity while the right cold arc length is taken as an outlet. The uniformly heated square shaped cylinder is taken as an obstacle in between cavity. The no-slip condition is implemented at outer boundary of obstacle. The problem is mathematically modelled in terms of partial differential equations. For solution purpose the hybrid meshed finite element method is utilized. The solution is report for four different inclinations of uniformly heated square obstacle in moon shaped cavity. The primitive variable namely, velocity, pressure and temperature are studies by way of contour plots. The hydrodynamic forces subject to case-wise installation of obstacle are evaluated by adopting line integration around the uniformly heated square cylinder. It is noticed that the drag force experienced by uniformly heated square obstacle at α=00 is greater as compared other inclinations.

Keywords

• Heat transfer
• Partially heated moon cavity
• Heated square obstacle
• Hydrodynamic forces