Date of Award

Summer 1993

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Mechanical Engineering

Committee Director

Ayodeji O. Demuren

Committee Member

Surendra N. Tiwari

Committee Member

Arthur C. Taylor III

Call Number for Print

Special Collections; LD4331.E56C595

Abstract

A three-dimensional computer code for solving Reynolds equations of turbulent flow at high Reynolds numbers in generalized curvilinear coordinates is used to study the engineering applications of several variants of linear and nonlinear second moment algebraic Reynolds stress models based on pressure-strain correlation of Launder, Recce and Rodi (1975) and Speziale, Sarkar and Gatski (1991). A new form of algebraic Reynolds stress equation in generalized curvilinear coordinates is derived based on simplification of Reynolds stress transport equations. Two implicit and two explicit implementations are explored in three different geometries of straight channel flows. The predictions of secondary motion driven by the anisotropy of the Reynolds stresses in the cross-sectional plane of the channel are presented. In all investigated cases the main features of the mean flow and the turbulence quantities are simulated realistically, quantitative agreements with the experimental data vary for each case. The tensorially linear explicit implementations of Gatski and Speziale (1992) based on two-dimensional approximations of the mean flow are shown to yield one of the best overall predictions among the models under consideration. The tensorial linearization of implicit implementations of quadratic models is shown to increase the predicted intensity of secondary motion by 10-50% in each case. It is shown that the calculations of primary Reynolds stresses from full algebraic expressions improve the performance of the refined Demuren and Rodi (1984) model significantly.

Rights

In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

DOI

10.25777/9cw4-4804

Share

COinS