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Continuum Modeling

An Approach Through Practical Examples

  • Book
  • © 2015

Overview

Authors:
  1. Adrian Muntean

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

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  • derivation of global integral laws together with the associated local differential equations
  • design of constitutive laws
  • modeling boundary processes
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Applied Sciences and Technology (BRIEFSAPPLSCIENCES)

Part of the book sub series: SpringerBriefs in Mathematical Methods (BRIEFSMATHMETH)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-xiv
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  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
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Keywords

About this book

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.

Reviews

“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)

Authors and Affiliations

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

    Adrian Muntean

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