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# Answer to Question #127544 in Mechanical Engineering for Sanjay

Question #127544

Consider a discrete fluid-solid mechanical system (for instance a wing profile with two degrees of freedom). Solutions of the form V

⃗

e

λt

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.

1
2020-07-27T07:23:22-0400

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

"C_a=\\frac{\\rho u^2}{K}"

where,"\\rho=" density of fluid, u=local velocity,K= bulk modulus

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