Show transcribed image text 6. (15 pts) In a bidirectional Fluid Structure interaction simulation using ANSYS CFX of a fluid flow around a cantilever beam, the fluid pressure measured as the output of the simulation in fluid module is used as the input boundary condition in the structural mechanics module, and that resultant pressure due to the beam vibration is fed again into the fluid module to study the net effect on fluid streamlines. A perfect simulation is supposed to have an average of 40 Pa as the output from either of the modules, however the simulations are bound to have variations. If X and Y represent the output in each of these experiments, their joint density is given by the following expression: f(x,y)= (a) (3 pts) Find ξ (b) (3 pts) Find the probability of fluid pressure falling between 30 and 40 Pa and the resultant structural pressure 30 S y
6. (15 pts) In a bidirectional Fluid Structure interaction simulation using ANSYS CFX of a fluid flow around a cantilever beam, the fluid pressure measured as the output of the simulation in fluid module is used as the input boundary condition in the structural mechanics module, and that resultant pressure due to the beam vibration is fed again into the fluid module to study the net effect on fluid streamlines. A perfect simulation is supposed to have an average of 40 Pa as the output from either of the modules, however the simulations are bound to have variations. If X and Y represent the output in each of these experiments, their joint density is given by the following expression: f(x,y)= (a) (3 pts) Find ξ (b) (3 pts) Find the probability of fluid pressure falling between 30 and 40 Pa and the resultant structural pressure 30 S y
