Foundations and Applications of Mechanics: Volume II, Fluid Mechanics shows how suitable approximations such as ideal fluid flow model, boundary layer methods, and the acoustic approximation, can help solve problems of practical importance. The author proceeds from the general to the particular, making it clear at each stage what assumptions have been made to obtain a particular approximation. In his discussion of compressible fluids, Jog steers away from using gas tables and emphasizes obtaining solutions by numerical techniques - an approach more amenable to computer solutions. He discusses the control volume and the differential equation forms of governing equations in detail and uses examples to demonstrate the advantages and shortcomings of each approach.

Foundations and Applications of Mechanics: Fluid Mechanics, Volume II

Science & Math

Jog, C. S.

Physics

Narosa

Foundations and Applications of Mechanics, Volume I: Continuum Mechanics explores topics that have come into prominence during the latter half of the twentieth century, such as material frame-indifference, the implications of the second law of thermodynamics, and material symmetry. Jog shows how the classical theories of fluid mechanics, solid mechanics, and rigid-body dynamics follow from the general continuum equations. Written for advanced undergraduate and graduate students, the book provides examples that explore the link between mathematics and physical reality without losing mathematical rigor.

Foundations and Applications of Mechanics: Continuum Mechanics, Volume I

Fluid mechanics is the study of fluids including liquids, gases and plasmas and the forces acting on them. Its study is critical in predicting rainfall, ocean currents, reducing drag on cars and aeroplanes, and design of engines. The subject is also interesting from a mathematical perspective due to the nonlinear nature of its equations. For example, the topic of turbulence has been a subject of interest to both mathematicians and engineers: to the former because of its mathematically complex nature and to the latter group because of its ubiquitous presence in real-life applications. This book is a follow-up to the first volume and discusses the concepts of fluid mechanics in detail. The book gives an in-depth summary of the governing equations and their engineering related applications. It also comprehensively discusses the fundamental theories related to kinematics and governing equations, hydrostatics, surface waves and ideal fluid flow, followed by their applications.

Fluid Mechanics: Volume 2: Foundations and Applications of Mechanics (Cambridge-iisc)

Cambridge University Press

Continuum mechanics studies the foundations of deformable body mechanics from a mathematical perspective. It also acts as a base upon which other applied areas such as solid mechanics and fluid mechanics are developed. This book discusses some important topics, which have come into prominence in the latter half of the twentieth century, such as material symmetry, frame-indifference and thermomechanics. The study begins with the necessary mathematical background in the form of an introduction to tensor analysis followed by a discussion on kinematics, which deals with purely geometrical notions such as strain and rate of deformation. Moving on to derivation of the governing equations, the book also presents applications in the areas of linear and nonlinear elasticity. In addition, the volume also provides a mathematical explanation to the axioms and laws of deformable body mechanics, and its various applications in the field of solid mechanics.

Continuum Mechanics: Volume 1: Foundations and Applications of Mechanics (Cambridge - Iisc)

After providing the necessary mathematical background needed, the book discusses kinematics, balance laws and constitutive relations for simple materials. Major emphasis is placed on discussing relatively new ideas such as material frame-indifference, the implications of the second law of themodynamics, material symmetry etc. The text shows how under suitable assumptions the classical theories of fluid mechanics, solid mechanics (including the linear theory of elasticity), and rigid-body dynamics follow from the general continuum equations. This book is intended as an advanced undergraduate (or a graduate level) textbook in continuum mechanics and its applications. NEW TO THE SECOND EDITION: A number of new topics have been discussed, some of which are: * Higher-order (in particular, fourth-order) tensors * Differentiation of tensors * Exact solutions to problems in nonlinear linearized elasticity * Components of tensors and their derivatives with respect to curvilinear coordinates * Conversion of tensorial expressions to engineering form

Continuum Mechanics (Foundations and Applications of Mechanics, 1)

Alpha Science Intl Ltd