Vijay K. Stokes

On the proper vectors of real third‐order matrices

The result that a pseudovector can be associated with a real third order skew‐symmetric matrix has been used for establishing some properties of the proper vectors of real third order matrices. It turns out that the pseudovector associated with the skew‐symmetric part of such matrices characterizes some interesting properties of proper vectors, such as the question of their orthogonality.

Kinematics of Flow

This chapter examines some aspects of kinematic measures of motion. The discussion is limited to the classical model, in which microstructure is not considered, and where the motion is specified by the history of the particle velocity, so that there is no motion if the velocity field is identically zero. Theories in which there is motion even in the absence of a velocity distribution are considered in later chapters.