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Continuum modeling : an approach through practical examples / by Adrian Muntean.

Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online

Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International
Format:
Book
Author/Creator:
Muntean, Adrian, Author.
Series:
SpringerBriefs in Mathematical Methods, 2365-0826
Language:
English
Subjects (All):
Mathematical models.
Measure theory.
Differential equations, Partial.
Mechanics.
Mechanics, Applied.
Mathematical Modeling and Industrial Mathematics.
Measure and Integration.
Partial Differential Equations.
Theoretical and Applied Mechanics.
Local Subjects:
Mathematical Modeling and Industrial Mathematics.
Measure and Integration.
Partial Differential Equations.
Theoretical and Applied Mechanics.
Physical Description:
1 online resource (83 p.)
Edition:
1st ed. 2015.
Place of Publication:
Cham : Springer International Publishing : Imprint: Springer, 2015.
Language Note:
English
Summary:
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.
Contents:
1 Scaling and Estimation of Physical Systems
2 Balance Equations in Continuum Physics
3 Transport Fluxes.
Notes:
Description based upon print version of record.
Includes bibliographical references.
ISBN:
3-319-22132-9

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