Physical Concepts and Basic Fluid Mechanics
or with a physical unit of cm/sec;
is along the axis
the direction of
Heart rate in beats per minute
second has the dimension
When formulating a dimensional matrix, it is necessary to identify the
parameters that are considered pertinent to the problem at hand. These
parameters need to to be expressed in terms
and [TI. For
example, given arterial blood pressure (P), flow
and heart rate (fh), a
dimensional matrix can be formed
This is therefore, a 3 x 3 matrix, or a square matrix.
another example, suppose that one wishes to examine the
relationship between left ventricular wall tension
and left ventricular
diameter or radius (r) and left ventricular pressure (knowingly, this is the
Laplace's law), then a dimensional matrix can be formed in terms
three parameters, prior to the application of Buckingham's Pi-theorem.
This dimensional matrix is:
L 0-1 1
Again, this is a 3 x 3 square matrix.