Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems - Couverture rigide

Gray, William G.; Leijnse, Anton; Kolar, Randall L.; Blain, Cheryl A.

 
9780849389344: Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems
Couverture rigide
ISBN 10 : 0849389348 ISBN 13 : 9780849389344
Editeur : CRC Press Inc, 1993

Synopsis

Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal coordinate systems without resorting to conceptually difficult Riemmann-Christoffel tensor and contravariant and covariant base vectors. It reveals the usefulness of generalized functions for indicating curvilineal, surficial, or spatial regions of integration and for transforming among these integration regions. These powerful mathematical tools are harnessed to provide 128 theorems in tabular format (most not previously available in the literature) that transform time-derivative and del operators of a function at one scale to the corresponding operators acting on the function at a larger scale. Mathematical Tools for Changing Scale in the Analysis of Physical Systems also provides sample applications of the theorems to obtain continuum balance relations for arbitrary surfaces, multiphase systems, and problems of reduced dimensionality. The mathematical techniques and tabulated theorems ensure the book will be an invaluable analysis tool for practitioners and researchers studying balance equations for systems encountered in the fields of hydraulics, hydrology, porous media physics, structural analysis, chemical transport, heat transfer, and continuum mechanics.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l?auteur

Gray, William G.; Leijnse, Anton; Kolar, Randall L.; Blain, Cheryl A.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
CRC Press Inc
Date d'édition
1993
Langue
anglais
ISBN 10 
0849389348
ISBN 13 
9780849389344
Reliure
Relié
Nombre de pages
256
Coordonnées du fabricant
non disponible
Personne responsable
non disponible