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.

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DOI

10.25777/7dyf-xt17

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