361(5): Matrix and Spin Connection Format of the Lagrange Derivative

In plane polar coordinates the convective or Lagrange or material derivative is the Cartan derivative with spin connection matrix (7). The latter is the sum of two matrices, the second of which is the antisymmertic matrix generated by the angular velocity of the rotating frame of the plane polar or cylindrical systems of coordinates. This angular velocity matrix does not exist when the static Cartesian system is used. In general both matrices of Eq. (7) exist, and their properties will be developed in the next note. The origin of the both fluid dynamics and gravitation is Cartan geometry.

a361stpapernotes5.pdf

Advertisements
  1. No trackbacks yet.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: