Continuum Modeling

1. Front Matter

   Pages i-xiv

   PDF

2. Scaling and Estimation of Physical Systems

   • Adrian Muntean

   Pages 1-17

3. Balance Equations in Continuum Physics

   • Adrian Muntean

   Pages 19-56

4. Transport Fluxes

   • Adrian Muntean

   Pages 57-69

5. Back Matter

   Pages 71-73

   PDF

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes. The focus of this presentation lies on many practical examples covering aspects such as coupled flow, diffusion and reaction in porous media or microwave heating of a pizza, as well as traffic issues in bacterial colonies and energy harvesting from geothermal wells. The target audience comprises primarily graduate students in pure and applied mathematics as well as working practitioners in engineering who are faced by nonstandard rheological topics like those typically arising in the food industry.

• Balance laws for extensive quantities
• Diffusion and reaction in porous media
• Global integral laws
• Modeling boundary processes
• Nonstandard rheological topics
• partial differential equations

“The book is quite short and contains subjects that usually are more exotic and/or advanced with respect to the basic topics of a continuum mechanics course. … I have enjoyed reading this short book and I think it gives a fresh look into the standard topics of a continuum mechanics course at a level … . I think this book is a nice addition in a field where a long list of textbooks is available.” (Giuseppe Saccomandi, Mathematical Reviews, March, 2016)

• Department of Mathematics and Computer Science, Eindhoven University of Technology, Eindhoven, The Netherlands

  Adrian Muntean

Policies and ethics