Consider a discrete fluid-solid mechanical system (for instance a wing profile with two degrees of freedom). Solutions of the form V
are looked for, V
being a two components vector. On the figure below the real and imaginary parts of λ
are plotted as function of the Cauchy number. Give an estimate of the critical value of the Cauchy number at which an instability occurs.
figure is missing in this and we can not solve this without figure
i am giving approach related to this question.
Cauchy number is dimensionless number in continuum mechanics. It is represented by
where, density of fluid, u=local velocity,K= bulk modulus