Abstract
In the study of natural convection around embedded bodies in a square enclosure, most of the previous studies have used the primitive variable or the streamfunction-vorticity(ψ−ω) form of the Navier-Stokes (N-S) equations along with grid transformation for the computations. In the current study, we reconstruct a recently developed compact finite difference scheme for the biharmonic form of the N-S equations and combine it with a high order compact (HOC) scheme for the energy equation to compute the flow around heated circular and diamond cylinders inside a square enclosure. Our computed results on nonuniform grids without transformation are excellent match with available numerical results for both adiabatic and isothermal walls of the square. In the process, we have also been able to capture flow structures for certain configurations and range of parameters that were not reported earlier in the existing literature.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.