Degree Type

Thesis

Date of Award

2016

Degree Name

Master of Science

Department

Aerospace Engineering

Major

Aerospace Engineering

First Advisor

Paul Durbin

Abstract

In this thesis, a formal approach for inferring the functional forms of information that might be missing in Wilcox's $k-\omega$ model for turbulent channel flow has been presented. Different terms of $k-\omega$ transport equations have been \textit{modified} by including a \textit{spatial} parameter. The resulting inverse problem has been efficiently solved using \textit{continuous} adjoint method to accurately predict mean velocity. In many cases, a simplifying assumption of a ``frozen" eddy viscosity in the turbulence model has been made to arrive at the final set of adjoint equations. Good agreement between inferred solution and corresponding DNS data has been demonstrated, first, for plane channel flow and later, for channel flow with spanwise rotation where \textit{re-laminarization} of fluid takes place. Finally, some parameters have been explored that seem to scale the corrections.

Copyright Owner

Kumar Vishal

Language

en

File Format

application/pdf

File Size

56 pages

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