Numerical Analysis of Two- and Three-Dimensional 90-Degree Bend Flow

The two basic methods of numerical viscous flow calculation--the vorticity-transport and primitive-variable schemes--are applied to the finite-difference analysis of flow through a two-dimensional 90-degree bend between sections of straight conduit. Additionally, the vorticity-transport method is employed in two approaches--one a direct calculation in rectangular and polar coordinates, the other via a non-orthogonal coordinate transform by which calculations are performed in a square mesh field. The solutions for all three methods were in agreement for (//R) = 72. The two-dimensional primitive-variable methodology was then successfully transferred to the three-dimensional 90-degree curved pipe problem and solutions have been generated up to (//R) = 100.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Theoretical and Applied Mechanics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2014

Author dc:creator

• Liou, Ren-Jei

• Applied Mechanics

Language dc:language

eng

Identifier

(UMI)AAI8026548

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/68509