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

Amr Guaily

ISBN 10: 3846521000 / ISBN 13: 9783846521007

Published by LAP LAMBERT Academic Publishing, 2011

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

Seller Inventory # 9783846521007

Bibliographic Details

• Title: 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

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.