Date of Award
Spring 1983
Document Type
Thesis
Department
Mechanical & Aerospace Engineering
Program/Concentration
Mechanical Engineering
Committee Director
Osama A. Kandil
Committee Member
Surendra N. Tiwari
Committee Member
Sushil Chaturvedi
Call Number for Print
Special Collections; LD4331.E56L31
Abstract
A Finite-Difference method is presented for calculating steady quasi-axisymmetric flow of an incompressible fluid at large Reynolds number. Approximations of the boundary-layer type are employed to reduce the Navier-Stokes equations to a pair of non-linear parabolic equations. Along with the governing equations, initial conditions are specified at some upstream cross section and boundary conditions are specified at the axis of symmetry and on the outer bounding surface.
The governing equations are replaced by a set of quasilinear finite-difference equations. The solution is obtained by a marching technique, which proceeds step-by-step in the axial direction. At each axial station, an iterative technique is used and the finite-difference equations are solved by using recurrence relations without any need for standard matrix inversion techniques.
The developed technique is stable and efficient. Numerical examples include a trailing-edge vortex, a leading-edge vortex, and a vortex in a pipe. The computed velocity profiles and vortex-core sizes are in good agreement with the available numerical data.
Rights
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DOI
10.25777/7dyf-xt17
Recommended Citation
Lakshmanan, Balakrishnan.
"Viscous Modeling and Computation of Leading-And Trailing-Edge Vortex Cores of Delta Wings"
(1983). Thesis, Old Dominion University, DOI: 10.25777/7dyf-xt17
https://digitalcommons.odu.edu/mae_etds/591
Included in
Aerodynamics and Fluid Mechanics Commons, Mechanical Engineering Commons, Partial Differential Equations Commons