Viscoelastic Fluids: Mathematical Modeling and Numerical Simulation | Mathematical Modeling and Numerical Simulation of Compressible and Incompressible Non-Isothermal Viscoelastic Liquids

Publisher

LAP LAMBERT Academic Publishing

Publication Date

2011

Language

English

ISBN 10

3846521000

ISBN 13

9783846521007

Binding

Taschenbuch

Condition

Neu

Dimensions

Weight

250 grams

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About this title

Synopsis

Although viscoelastic flows are characterized by a very low Mach number regime, it involves a weakly compressible liquid phase, which requires a special treatment. This work is devoted to the mathematical modeling and numerical simulation for viscoelastic fluids. It follows directly a previous publication, PhD dissertation of the author. A Unified purely hyperbolic mathematical model for compressible and incompressible viscoelastic fluids is presented. To complete the mathematical model, a complete chapter is devoted to describe a new procedure to determine the correct type and number of boundary conditions for hyperbolic systems. Then a new model describing the non-isothermal viscoelastic flows is introduced while keeping the hyperbolic nature of the system. The main advantage of the proposed model over the existing ones is its hyperbolic nature, which overcomes some of the drawbacks of the available models. The proposed model is then solved numerically using a hybrid finite element/finite difference scheme.

About the Author

Dr. Amr Guaily received his BSc degree in Aerospace Engineering from Cairo University, Egypt in 2002. Then he received his MSc degree in Engineering Mechanics in 2006 from the same university. In 2011, he has obtained his PhD degree in Mechanical Engineering from University of Calgary, Canada. His main research area is Fluid Dynamics.

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