Continuum Modeling

An Approach Through Practical Examples

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Continuum Modeling by Adrian Muntean, Springer International Publishing
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Author: Adrian Muntean ISBN: 9783319221328
Publisher: Springer International Publishing Publication: August 9, 2015
Imprint: Springer Language: English
Author: Adrian Muntean
ISBN: 9783319221328
Publisher: Springer International Publishing
Publication: August 9, 2015
Imprint: Springer
Language: English

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.

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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.

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