would you please help with d, e, and the extra question at the bottom? thank you!
Problem 3 (30 pts): A colleague asks for your help to design the experimental campaign of the study his currently carrying. The goal of the experimental tests is to survey the aero- acoustic and aerodynamic effects of soft coating on airfoils. To perform this analysis you have at your disposal the ability to perform wind tunnel experiments with laser Doppler anemometer measurements of the developing boundary layer, and static pressure measurements on the airfoil surface and in the wake. Your colleague initially suggested running the test cases presented in the following table 5 times over to minimize noise effects in the measurements. Sound pressure level Lift coefficient Drag coefficient Test case Uncoated airfoil and O degree AOA Coated airfoil and O degree AOA Uncoated airfoil and 5 degree AOA Coated airfoil and 5 degree AOA Uncoated airfoil and 15 degree AOA Coated airfoil and 15 degree AOA For you to be able to contribute with your colleague we first need to access if you fully understood the current experimental design. Thus, please answer at the best of your knowledge the following questions: (6 points for each item) a) Concerning your colleagues suggested campaign, what are the response variables? b) In the proposed test cases what are the experiment factors and how many levels are being tested for each factor? c) Is your colleague considering running replications? d) Now if we opt to run the experiments as suggested by your colleague and then try to fit a model to correlate the effects of the input variables into L. Will this model be able to account for the interactions between the input variables? Why? e) With the proposed design would you be able to model non-linear effects in your system response? Why? Do you have any suggestions on how to improve this experimental design? Please explain in detail any modifications suggested. Problem 3 (30 pts): A colleague asks for your help to design the experimental campaign of the study his currently carrying. The goal of the experimental tests is to survey the aero- acoustic and aerodynamic effects of soft coating on airfoils. To perform this analysis you have at your disposal the ability to perform wind tunnel experiments with laser Doppler anemometer measurements of the developing boundary layer, and static pressure measurements on the airfoil surface and in the wake. Your colleague initially suggested running the test cases presented in the following table 5 times over to minimize noise effects in the measurements. Sound pressure level Lift coefficient Drag coefficient Test case Uncoated airfoil and O degree AOA Coated airfoil and O degree AOA Uncoated airfoil and 5 degree AOA Coated airfoil and 5 degree AOA Uncoated airfoil and 15 degree AOA Coated airfoil and 15 degree AOA For you to be able to contribute with your colleague we first need to access if you fully understood the current experimental design. Thus, please answer at the best of your knowledge the following questions: (6 points for each item) a) Concerning your colleagues suggested campaign, what are the response variables? b) In the proposed test cases what are the experiment factors and how many levels are being tested for each factor? c) Is your colleague considering running replications? d) Now if we opt to run the experiments as suggested by your colleague and then try to fit a model to correlate the effects of the input variables into L. Will this model be able to account for the interactions between the input variables? Why? e) With the proposed design would you be able to model non-linear effects in your system response? Why? Do you have any suggestions on how to improve this experimental design? Please explain in detail any modifications suggested
