Subject Syllabus Summary Mechanical Engineering Undergraduate studies (BA) AERODYNAMIC OF AIRCRAFT Subject type:

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1 Subject Syllabus Summary Mechanical Engineering Undergraduate studies (BA) Subject: AERODYNAMIC OF AIRCRAFT Subject type: Essential Subject code: Year: Semester: Form of studies: Full-time course Type of classes and hours per semester: Lecture 15 Exercise Laboratory practice 15 Project ECTS points: 4 Form of credit: Lecture examination / laboratory practice assessment Lecture language: Polish C1 C2 C3 C4 Subject objective Basic knowledge of gas flow kinematics and dynamics, including the flows around bodies (especially aerofoils). Knowledge of helicopter aerodynamics, including the aerodynamics of the main rotor, the tail rotor, and the fuselage. Knowledge of controlling helicopters in flight. Knowledge of the methods for determination of aerodynamic characteristics of rotors and basic in-flight helicopter performance. Prerequisites in knowledge, skills and other competencies Knowledge: Mathematics: knowledge of vector analysis, basics of field theory, complex 1 functions, and basics of solving partial and regular differential equations. 2 Fluid mechanics: knowledge of fluid flow kinematics and dynamics. General mechanical engineering: knowledge of rigid body motion kinematics 3 and dynamics. Skills: 4 The student will be able to use the acquired knowledge in practice. 5 The student will be able to research information from reference literature. Knowledge: Educational effects

2 The student will have an expanded knowledge of gas flow kinematics and dynamics. The student will have an expanded knowledge of flow around rigid EK1 bodies, including aerofoils. The student will have knowledge of forces affecting aerofoils with specific sections and attack angles. The student will have an expanded knowledge of classification of helicopters by configuration and layout of main rotors, as well as of the basic EK2 characteristic parameters of main rotors. The student will have knowledge of methods for compensating the reaction moment of the main rotor on the helicopter. The student will have an expanded knowledge of the flux theory of generation EK3 of the thrust power on the helicopter main rotor in hover, vertical manoeuvres and forward flight. The student will have an expanded knowledge of the kinematics and dynamics of helicopter main rotor blades. They will also have knowledge of EK 4 describing the thrust power generation on the helicopter main rotor with the theory of the blade component in hover, vertical manoeuvres and forward flight. The student will have an expanded knowledge of determination of helicopter performance and aerodynamic characteristics in various states of flight. The EK 5 student will have an expanded knowledge of conceptual aerodynamic helicopter design engineering. Skills: The student will be able to calculate the atmospheric air parameters for EK 6 specific flight altitude and temperatures. The student will be able to analyse gas flows for flow potentiality or curl, especially in flows around bodies. The student will be able to calculate the EK7 aerodynamic lift of a predefined aerofoil by applying the conclusions of the Kutta-Żukowski theory. EK8 The student will be able to classify helicopters and main rotors thereof. The student will be able to the aerodynamic lift, power and other basic EK9 parameters of air flow through a helicopter main rotor with the use of the flux theory for various helicopter manoeuvres. The student will be able to calculate the aerodynamic lift and the power EK10 delivered to a helicopter main rotor with the use of theory of the blade component for various helicopter manoeuvres. Social competencies: EK11 The student will have and understand the need for continuous education. The student will be critical in expression of opinion and capable of defending EK12 their argument in discussions. The student will be able to teamwork, including work in research teams, and EK13 demonstrate due diligence when working on tasks.

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4 W1 W2 W3 W4 W5-6 W7-8 W9-10 W11-13 W14 W15 Curriculum content of Subject Class form: lecture Curriculum Basic concepts of low and high speed aerodynamics. Flow properties of gases. Sound speed in gases. Classification of gas flows. Gas flow kinematics. Circulation and curl in flows. The basic system of equations describing the motion of real and nonviscous gas. Flow continuity equation; Navier-Stokes equation. Energy equation. Bernoulli's equation and its application in aerospace engineering. Gas flows around bodies of various geometry. Aerofoils. Infinite length foil and finite elongation foil. Induced resistance. Aerodynamic lift. The Kutta-Żukowski aerofoil lift theory. Polar curve of aerofoils. Relationship between the aerodynamic coefficients and the attack angle. Configuration of helicopters and main rotors thereof. Basic parameters of propellers. Rotor reaction moment and methods of its compensation. Flux theory of the helicopter main rotor in hover and vertical manoeuvres. Induced velocity. Rotor quality factor. Rotor work modes. Flux theory in helicopter forward flight. Forward flight induced velocity. Oscillations of rotor blades. Equations of rotor blade oscillations against vertical and horizontal joints. Main rotor control principle. Forces and moments generated by the main rotor. Expressions of main rotor forces and moments and main rotor force factors. Theory of blade component in helicopter vertical flight. Flow around the blade component. Forces applied to the blade component. Main rotor polar in hover. Flow around the blade in helicopter forward flight. Forces applied to the blade component. Rotor blade flow asymmetry. Flow separation from rotor blades. Supersonic aerodynamics. Sound speed. Critical Mach. Shock wave: generation, types, supersonic flow around cones, wave resistance. Aerodynamic systems of supersonic aircraft. Aerodynamic tunnels: types and methods of measurement. Aircraft aerodynamic resistances in flight. Aircraft performance. Hover ceiling and practical ceiling. Fuel consumption. Flight range. Quotation chart. Aircraft aerodynamic characteristics in flight following one engine failure and coasting flight. Introduction to conceptual aerodynamic aircraft design engineering. Design criteria. Determination of required engine power output. Determination of aerodynamic characteristics of fuselage and control

5 surfaces.

6 LAB1 LAB2 LAB 3-4 LAB5 LAB6 LAB7 LAB8-9 LAB10 LAB LAB LAB15 Class form: laboratory practice Curriculum content Calculation of atmospheric air parameters in relation to altitude above terrain. Calculation of aerodynamic forces and coefficients for a defined fuselage (wing). Calculation of the induced velocity and induced power of the main rotor according to the flux theory. Calculation of the main rotor quality factor for predefine rotor geometry in hover. Calculation of the required hover power for a helicopter with predefined take-off weight. Determination of the rotor polar in hover (acc. to the flux theory and the blade component theory). Determination of the blade oscillation to horizontal joint coefficient (acc. to the main rotor control principle). Determination of the blade oscillation to vertical joint coefficient. Calculation of the forces applied to the main rotor in forward flight and the power required to propel forward flight. Determination of performance of a helicopter with a predefined take-off weight in hover and forward flight. Assessment 1 2 Teaching methodology Informative lecture, considering the problems of calculation and with the use of audiovisual aids Exercises are a computational illustration of lectures and they focus on selected calculation problems. Student workload Form of activity Average hours to complete the activity Teacher contact hours, including: Lectures 15 Laboratory classes 15 Exams 2 Lecture consultations 1 Exercise consultations 1 Student own work, including: Own work: preparation for laboratory exercise 25 Preparation for examination 26

7 Total student work time 51 Total ECTS for the subject: 4 Total of ECTS for practical classes Basic and complementary reference literature Strzelczyk, P.: Aerodynamika małych prędkości. Oficyna Wydawnicza 1 Politechniki Rzeszowskiej, Rzeszów 2003 Rościszewski, J.: Aerodynamika stosowana. Wydawnictwo Ministerstwa Obrony 2 Narodowej, Warsaw 1957 Juriew, B.N.: Aerodinamicheskyi rashchyet vyertolyetov. Izd. Obarangiz. 3 Moscow, 1966 Bramwell, A. R. S.: Helicopter Dynamics, Award Arnold (Publishers) Ltd Jonson, W.: Helicopter Theory, Princeton Univesity Press, 1980 Szabelski, K.; Jancelewicz, B.; Łucjanek, W.: Wstęp do konstrukcji śmigłowców, 6 WKIŁ 2005 Complementary reference literature Gessow, A.; Myers, G.C., Jr.: Aerodynamics of the Helicopter, The College Park 7 Press 8 Mil M. L. et al.: Vyertolety, rashchyet i proyektirovanye, Mashinostroyenye 1966 Tiszczenko M. N. et al.: Vyertolety, vybor parametrov pri proyektirovanyi, 9 Mashinostroyenye 1976 Educational effect Specific educational effect reference to curriculumwide effects (PEK) Educational effect matrix Subject objective Curriculum content Teaching methodology Evaluation methods EK 1 MBM2A-W02 [C1] [W1, W2, W3, L1, L2] EK 2 MBM2A-W02 [C2, C3] [W3, W4, L2] EK 3 MBM2A-W02 [C2, C3, [W5, L3, C4] L4, L5, L6] [W3, W4, EK 4 MBM2A-W02 [C2, C3] W6, W7, W8, L6, L7, L8] EK 5 MBM2A-W02 [C1, C3, [W9, W10,

8 C4] L9] EK 6 MBM2A-U12 [C1] [W1, W2, W3, L1, L2] EK 7 MBM2A-U12 [C1, C2] [W3, W4] [1] [O1, O2] EK 8 MBM2A-U12 [C2, C3] [W5] [1] [O1, O2]

9 EK 9 MBM2A-U12 [C4] EK 10 MBM2A-U09 [C4] EK 11 EK 12 EK 13 MBM2A-K01 ++ MBM2A-K06 ++ MBM2A-K03 ++ [C1, C2, C3, C4] [C1, C2, C3, C4] [C1, C2, C3, C4] [W3, W4, W6, W7, W8, L9] [W9, W10, L9, L10] [W1, W2, W3, W4, W5, SW6, W7, W8, W9, W10, L2, L3, L4, L5, L6, L7, L8, L9, L10] [W1, W2, W3, W4, W5, SW6, W7, W8, W9, W10, L2, L3, L4, L5, L6, L7, L8, L9, L10] [W1, W2, W3, W4, W5, SW6, W7, W8, W9, W10, L2, L3, L4, L5, L6, L7, L8, L9, L10] Evaluation method symbol O1 O2 Evaluation methods and criteria Evaluation method description Exercise assessment: two projects required. The final grade is the average of both projects. Written assessment. (Resolved with oral assessment if a written assessment is questionable.) Pass threshold 60% 60%

10 Curriculum author: Unit: Tomasz Łusiak, PhD Eng. Department of Thermodynamics, Fluid Mechanics and Aviation Propulsion

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