Dimensional variables
Relation
Nondiemnsional variables
Solid boundary: r = R
R + h 0 r ^ = R
r ^ = 0
Unperturbed free surface: r = R + h 0 h ^
R + h 0 r ^ = R + h 0 h ^
r ^ = h ^
Perturbed free surface: r = R + h 0 + h 0 h ^
R + h 0 r ^ = R + h 0 ( 1 + h ^ )
r ^ = ( 1 + h ^ )