Accession Number:

ADA008237

Title:

The Numerical Modeling of an Oldroyd Type Constitutive Equation.

Descriptive Note:

Master's thesis,

Corporate Author:

PENNSYLVANIA STATE UNIV UNIVERSITY PARK DEPT OF AEROSPACE ENGINEERING

Personal Author(s):

• Gatski,Thomas B.

Report Date:

1972-12-01

Pagination or Media Count:

90.0

Abstract:

It has been shown that the behavior of a dilute solution of high molecular weight linear macromolecules differs markedly from the behavior of the solvent alone when subjected to pure strain rate fields. The unique behavior of these solutions for various flow configurations has been experimentally investigated, but with definitive theoretical explanation lacking due to the complexity of the governing equations. Therefore, the purpose of this study is to furnish a basis for the numerical modeling of the governing equations in order to help explain the behavior of these fluids. In providing a basis for the numerical modeling of the Oldroyd constitutive equation, along with an appropriate equation of motion the development of a proper difference scheme was divided into three levels. The first level was the modeling of the wave equation, the second level was the modeling of the governing equations for the Maxwellian fluid as well as a modified Maxwellian fluid, and the third level was the modeling of a one-dimensional Oldroyd constitutive equation.

Descriptors:

• *SOLUTIONS(MIXTURES)
• *MACROMOLECULES
• *FLUID DYNAMICS
• MATHEMATICAL MODELS
• VISCOELASTICITY
• THESES
• FINITE DIFFERENCE THEORY
• FLOW FIELDS
• LAGRANGIAN FUNCTIONS

Subject Categories:

• Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE