Date of Award
2010
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mechanical Engineering
First Advisor
Ferguson, Frederick Dr.
Abstract
The goal of this research effort was to test the validity of an ˜in-house' Navier-Stokes Solver. Using a unique scheme coined ˜Integral Differential Scheme (IDS),' this code was designed to be an efficient and accurate numerical solver for various laminar single phase flows. The numerical scheme developed and programmed herein, is based on the solution of the integral form of the Navier-Stokes equation. This approach focuses on the benefits of the traditional finite volume and finite difference schemes, thus guaranteeing the conservation properties throughout the domain. Using low cost personal computing capabilities, this Computational Fluid Dynamics (CFD) code was tested with the simulation of three fluid experiments commonly conducted in industry. A quantitative study of these results is presented. In addition to flow field properties, a qualitative validation of flow structures is examined to further demonstrate the fidelity of the CFD code. The three classical experiments discussed herein are, Hypersonic flow over a flat plate, Mach jet injection normal to flat plate, and Shock boundary layer interactions. The investigation of hypersonic flow over flat plate provided excellent agreement with velocity profiles normal to the plate. Temperature comparisons showed a less favorable agreement in peak temperature values while thermal boundary layers were accurately captured. Mach jet injection flow provided a comparison of wall pressure xvi where trends in the pressure profile were captured. A pure qualitative study of schlieren structures was compared in the Shock Boundary Layer investigation. Here, the results obtained were promising in capturing the structures of the fluid system. The agreement between the primitive variables measured experimentally and the results acquired from the CFD simulations provided evidence that the code was able to accurately capture complex flows.
Recommended Citation
Brown, Jovan C., "Validation Of The Integral-Differential Scheme As A Navier-Stokes Solver Via Simulation Of 2-D Experimental Fluid Studies" (2010). Theses. 24.
https://digital.library.ncat.edu/theses/24