Date of Award

Fall 2011

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Mechanical and Aerospace Engineering

Committee Director

Robert L. Ash

Committee Member

Colin P. Britcher

Committee Member

Jon J. Yagla

Call Number for Print

Special Collections; LD4331.E56 S779 2011

Abstract

This thesis has investigated the role of pressure relaxation in inviscid, incompressible flows. A modified form of the classical Bernoulli equation was developed from a vector form of the Navier-Stokes equation which includes pressure relaxation and bulk viscosity. This modified Bernoulli equation was utilized to compare two-dimensional potential flow pressure distributions over a sphere, cylinder, backward and forward facing steps. Finally, the modified Bernoulli equation was utilized to compare the theoretical bounding free streamline to an experimentally observed free streamline over a knife edge. Results of these comparisons show that the classical form of the Bernoulli equation can over-predict the pressure when the steady-state velocity vector following a streamline is subject to significant curvature-based accelerations.

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DOI

10.25777/6ppf-mc32

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