Continuum Modeling An Approach Through Practical Examples /

• Main Author: Muntean, Adrian (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: SpringerBriefs in Applied Sciences and Technology,
• Subjects: Mathematics.; Measure theory.; Partial differential equations.; Mathematical models.; Mechanics.; Mechanics, Applied.; Mathematical Modeling and Industrial Mathematics.; Measure and Integration.; Partial Differential Equations.; Theoretical and Applied Mechanics.
• Physical Description: XIV, 73 p. 7 illus., 5 illus. in color. online resource.
• ISBN: 9783319221328
• ISSN: 2191-530X

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.