ESS228
Prof. Jin-Yi Yu
Adjustments of the Two-Fluid System
q The adjustments in the two-layer fluid system
are governed by:
qCombined these two equations will result in a fourth-order equation, which is difficult to solve.
qThis problem can be greatly simplified by looking for
solutions which η and h are proportional:
q The governing equations
will both reduced to this form:
provided that
There
are two values of m (and hence two values
of ce)
that satisfy this equation.
è The
motions corresponding to these particular vales are called normal modes of oscillation.