Tensor analysis for engineers and physicists - with application to continuum mechanics, turbulence, and Einstein's special and general theory of relativity / Meinhard T. Schobeiri.

Format:

Book

Author/Creator:

Schobeiri, Meinhard, author.

Language:

English

Subjects (All):

Calculus of tensors.

Genre:

Electronic books.

Physical Description:

1 online resource : illustrations (some color)

Place of Publication:

Cham : Springer, [2021]

System Details:

text file

Summary:

This book unies the common tensor analytical aspects in engineering and physics. Using tensor analysis enables the reader to understand complex physical phenomena from the basic principles in continuum mechanics including the turbulence, its correlations and modeling to the complex Einstein' tensor equation. The development of General Theory of Relativity and the introduction of spacetime geometry would not have been possible without the use of tensor analysis. This textbook is primarily aimed at students of mechanical, electrical, aerospace, civil and other engineering disciplines as well as of theoretical physics. It also covers the special needs of practicing professionals who perform CFD-simulation on a routine basis and would like to know more about the underlying physics of the commercial codes they use. Furthermore, it is suitable for self-study, provided that the reader has a sufficient knowledge of differential and integral calculus. Particular attention was paid to selecting the application examples. The transformation of Cartesian coordinate system into curvilinear one and the subsequent applications to conservation laws of continuum mechanics and the turbulence physics prepares the reader for fully understanding the Einstein tensor equations, which exhibits one of the most complex tensor equation in theoretical physics.

Contents:

Vectors and Tensors

Transformation of Tensors

Differential Operators in Continuum Mechanics

Tensors and Kinematics

Differential Balances in Continuum Mechanics

Tensor Operations in Orthogonal Curvilinear

Tensor Application, Navier-Stokes Equation

Curves, Curvature, Surfaces, Geodesics

Turbulent Flow, Modeling

Special Theory of Relativity

Tensors In General Theory of Relativity.

Notes:

Includes bibliographical references and index.

Online resource; title from PDF title page (SpringerLink, viewed December 29, 2021).

ISBN:

9783030357368

3030357368

OCLC:

1288633401

Access Restriction:

Restricted for use by site license.