Reference no: EM133047339

Question: Write report as per instruction and perform calculations in MATLAB Programming

The problem is a bit open-ended. The goal of the assignment is for you to design a propeller of a small drone helicopter capable of hovering (lc = 0) with an object of your choice. Use MATLAB to perform all necessary calculations. Once you have your design write a DETAILED report addressing at least the requirements' listed below. The depth of your discussion will greatly influence your score. You may not collaborate with any students on this project. Do not use any online propeller design codes (such as pron.m and rotor.m).

Part 1)
Propose the rotor design by specifying:
• Number of blades
• Rotor diameter, R
• Blade chord, c

• Blade setting angle 0. Estimate this by assuming V_i + V_c and a constant Ω (you will change these later) and calculating setting angle θ = α + tan^-1 (V_i + V_c/rΩ), where α ~ 10°.

Part 2)
Write YOUR OWN blade element theory code to estimate the thrust of the proposed rotor.

Break up the rotor into at least ten sections of with dr. For each section:

• Guess the value for V_i
• Calculate V₁ = √(V_i + V_c)² + (rΩ)²
• Calculate Φ = tan^-1(V_i + V_c/rΩ)
• Calculate α = θ - Φ
• Based on Viterna approach, predict C_l and C_d for calculated α
• Calculate dL = Cl1/2ρV₁²cdr
• Calculate dD = C_d1/2ρV₁² Cdr
• Calculate dT_aero = dL cos Φ - dD sin Φ
• Calculate dTmom = 4Πr dr ρV_l(V_l + V_c)
• Compare dT_aero and dT_mom. If not similar, adjust V_l and repeat until thrusts converge
• Once converged, calculate dQ = r (dL sin Φ + dD cos Φ)
Repeat the same process for all propeller sections.

Calculate total thrust and torque required by adding all the sectional thrusts and drags and multiplying by number of blades.

Part 3)
Compare the resultant Vi to the one you used to get the setting angles in Part 1). Adjust the setting angles based on the calculated Vi values and repeat the process.

Part 4)
Does your current design produce enough thrust to sustain hover flight with your object of chose as payload? If not, go to Part 1) and adjust the number of blades, Ω, c, R and repeat the process.

From McMaster-Carr choose a DC motor that will work with your design.

Part 5)
Write a detailed report in which you go into depth and describe your process and final result. Include at least the following:
• Introduction to blade element theory. Include figures to assist with the discussion. Show all the necessary formulas.
• Show a block diagram indicating how to converge the thrust and calculate the overall thrust and torque.
• Show your initial design of the blades.
• Provide a detailed description of how thrust was converged for one of the blade sections. Provide a figure or a table indicating the output of the iteration process. For example, a figure of dTaero and dTmomentum for various Vi values you have tried until thrust converged.
• Show the resultant total thrust and torque values
• Describe how you adjusted your initial design based on your calculated Vi and thrust requirements.
• Provide the following table for the final design
• Explain what motor you chose from McMaster. Do you need one or more motors?
• Write concluding remarks.