Aerodynamics Part 2: Airfoil Theory
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Questions and Answers

What is the expression for dynamic pressure ($q_{∞}$) using density ($\rho_{∞}$) and velocity ($V_{∞}$)?

  • $q_{∞} = \rho_{∞} V_{∞}^2$
  • $q_{∞} = \rho_{∞} V_{∞}$
  • $q_{∞} = \frac{1}{2} \rho_{∞} V_{∞}$
  • $q_{∞} = \frac{1}{2} \rho_{∞} V_{∞}^2$ (correct)

What is the unit of dynamic pressure ($q_{∞}$)?

  • kg/m²·s² (kilograms per meter squared per second squared)
  • Pa (Pascals)
  • N/m² (Newtons per square meter) (correct)
  • N·m² (Newton meters squared)

Which type of airspeed accounts for actual aerodynamic performance and altitude?

  • Calibrated Air Speed
  • Ground Speed
  • True Air Speed (correct)
  • Indicated Air Speed

What is the relationship between ground speed and airspeed?

<p>Ground speed can be influenced by wind but is not the same as airspeed. (C)</p> Signup and view all the answers

What kind of contamination is specifically addressed by an ice protection system?

<p>Mixed ice, snow, and frost (A)</p> Signup and view all the answers

What does the Reynolds number (Re) primarily indicate in fluid dynamics?

<p>The ratio of inertial forces to viscous forces (C)</p> Signup and view all the answers

Which parameter is closely associated with determining the drag force on an aerodynamic surface?

<p>Angle of attack (A), Wing area (C)</p> Signup and view all the answers

In which dimensional category does the unit 'Slug' fall under?

<p>Mass (D)</p> Signup and view all the answers

What effect does increasing the angle of attack have on lift generation, assuming other factors remain constant?

<p>It generally increases lift until a maximum angle is reached (C)</p> Signup and view all the answers

Which variable is essential when performing dimensional analysis in fluid dynamics?

<p>Velocity (A)</p> Signup and view all the answers

What dimension does the air density have in terms of basic physical dimensions?

<p>M/L^3 (D)</p> Signup and view all the answers

When analyzing a low-speed subsonic airfoil, what is the significance of the chord length?

<p>It affects the lift-to-drag ratio (C)</p> Signup and view all the answers

Which fluid property directly affects the viscosity of a medium?

<p>Temperature (C)</p> Signup and view all the answers

What can inviscid flow airfoil theory reliably predict?

<p>Zero-lift angle of attack (A), Lift slope (B)</p> Signup and view all the answers

Which force component is represented by the Normal Force?

<p>Component of R perpendicular to the chord line (B)</p> Signup and view all the answers

What does the Axial Force represent?

<p>The component of R parallel to the freestream (D)</p> Signup and view all the answers

What does the lift (L) component of the resultant aerodynamic force refer to?

<p>Force acting perpendicular to the chord line (D)</p> Signup and view all the answers

For an airfoil at an angle of attack of 10°, given a Normal force of 100 N and an Axial force of 50 N, what is the magnitude of the Lift?

<p>100 N (C)</p> Signup and view all the answers

Which of the following statements about the NACA 2412 airfoil is true?

<p>The lift slope remains unaffected by Reynolds number. (B)</p> Signup and view all the answers

What is the angle of attack defined as?

<p>Angle between the chord line and the freestream (C)</p> Signup and view all the answers

Which factor does inviscid flow airfoil theory prove incapable of predicting?

<p>Airfoil drag (D)</p> Signup and view all the answers

What is the chord length of the wing under the given conditions?

<p>1.3 m (A)</p> Signup and view all the answers

What angle of attack is mentioned in the initial condition?

<p>4° (B)</p> Signup and view all the answers

Which airfoil data is used for the lift calculation?

<p>NACA 2412 (B)</p> Signup and view all the answers

What is the lift per unit span (L') given in one of the examples?

<p>700 N (A)</p> Signup and view all the answers

What is the drag measured per unit span for the NASA LS(1)-0417 airfoil when the flow is at a velocity of 97 m/s?

<p>34.7 N (C)</p> Signup and view all the answers

To achieve zero lift, what must be the angle of attack referred to in one of the examples?

<p>Negative angle less than 4° (C)</p> Signup and view all the answers

Which of the following values corresponds to the wing area of the given conditions?

<p>1.3 m² (C)</p> Signup and view all the answers

What is the velocity of the flow when measuring the drag for the NASA LS(1)-0417 airfoil?

<p>97 m/s (A)</p> Signup and view all the answers

What is the correct equation for dynamic pressure ($q_{∞}$)?

<p>$q_{∞} = \frac{1}{2} \rho_{∞} V_{∞}^2$ (D)</p> Signup and view all the answers

Which statement accurately describes True Air Speed (TAS)?

<p>It represents the actual speed of the aircraft through the air. (B)</p> Signup and view all the answers

What is the primary purpose of an ice protection system in an aircraft?

<p>To prevent ice from forming on critical surfaces. (C)</p> Signup and view all the answers

What type of airspeed is essential for evaluating aerodynamic performance?

<p>True Air Speed (C)</p> Signup and view all the answers

What factors primarily affect the drag force on an aerodynamic surface?

<p>Velocity and air density (D)</p> Signup and view all the answers

What is the lift per unit span (L') calculated for the wing at 4° angle of attack?

<p>1.7894 × 10−5 N (D)</p> Signup and view all the answers

What is the chord length of the wing specified in the conditions?

<p>1.3 m (D)</p> Signup and view all the answers

What is the drag per unit span of the NASA LS(1)-0417 airfoil given the conditions?

<p>34.7 N (B)</p> Signup and view all the answers

What is the relationship between lift and angle of attack in airfoil data?

<p>Lift increases with increased angle of attack until a certain limit. (C)</p> Signup and view all the answers

To obtain zero lift, to what angle of attack must the wing be pitched?

<p>Negative angle (A)</p> Signup and view all the answers

At what altitude are the conditions specified in the problem?

<p>Standard sea level (B)</p> Signup and view all the answers

What concept is crucial for calculating the drag coefficient from the given data?

<p>Drag per unit span and area (C)</p> Signup and view all the answers

What does the Reynolds number (Re) rely on in fluid dynamics?

<p>Velocity, air density, and viscosity coefficient (C)</p> Signup and view all the answers

How is the dimension of density represented in physical terms?

<p>M/L^3 (C)</p> Signup and view all the answers

In aerodynamics, what is primarily impacted by the shape of the airfoil?

<p>Lift, drag, and moment (D)</p> Signup and view all the answers

Considering dimensional analysis, which variable's standard unit is Newton (N)?

<p>Force (C)</p> Signup and view all the answers

Which of the following represents a condition suitable for low-speed subsonic aerodynamics?

<p>A constant chord wing in a wind tunnel at 50 m/s (B)</p> Signup and view all the answers

What is the effect of altitude on the parameters affecting lift and drag?

<p>Lower air density leading to decreased lift (A)</p> Signup and view all the answers

What is the primary use of dimensional analysis in fluid dynamics?

<p>To determine the relationship between various physical quantities (B)</p> Signup and view all the answers

What role does the angle of attack play in aerodynamic performance?

<p>Affects both lift and drag depending on airfoil shape (B)</p> Signup and view all the answers

What does inviscid flow airfoil theory predict about the lift slope?

<p>It predicts the relationship between lift and angle of attack. (C)</p> Signup and view all the answers

Which characteristic of airfoil does viscous flow airfoil theory account for?

<p>Drag experienced by the airfoil. (C)</p> Signup and view all the answers

What is the defining characteristic of the Normal Force in relation to the chord line?

<p>It acts perpendicular to the chord line. (D)</p> Signup and view all the answers

At an angle of attack of 10° with a Normal force of 100 N and Axial force of 50 N, how is the Lift calculated?

<p>Lift is equal to the Normal force. (D)</p> Signup and view all the answers

How does the aerodynamic force relate to pressure and shear stress distribution?

<p>It is the integration of pressure and shear stress distributions. (C)</p> Signup and view all the answers

How is drag defined in relation to the resultant aerodynamic force?

<p>It is the component of aerodynamic force parallel to the freestream. (A)</p> Signup and view all the answers

What is true about the dependence of the lift slope on the Reynolds number (Re)?

<p>The lift slope remains unaffected by Re. (A)</p> Signup and view all the answers

Which of the following factors is relevant for determining maximum lift coefficient?

<p>Viscous effects. (D)</p> Signup and view all the answers

Flashcards

Lift slope (a0)

The slope of the lift coefficient versus angle of attack curve.

Zero-lift angle of attack (a0)

The angle of attack at which the lift coefficient is zero.

Normal Force (N)

The component of the resultant aerodynamic force perpendicular to the chord line.

Axial Force (A)

The component of the resultant aerodynamic force parallel to the chord line.

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Angle of Attack (a)

The angle between the chord line and the freestream velocity.

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Lift (L)

The component of the resultant aerodynamic force perpendicular to the freestream.

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Drag(D)

The component of the resultant aerodynamic force parallel to the freestream.

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Resultant Aerodynamic Force (R)

The integration of pressure distribution and shear stress distribution over the airfoil.

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Reynolds Number (Re)

A dimensionless quantity in fluid dynamics that describes the ratio of inertial forces to viscous forces. It helps predict whether flow will be laminar or turbulent.

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Chord (c)

The distance between the leading and trailing edges of an airfoil, representing the airfoil's width.

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Wing Area (S)

The area covered by an airfoil or wing, typically calculated as the product of the wingspan and the average chord length.

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Length (l)

The distance measured along the length of an object like a fuselage or a wing.

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Moment (M)

The moment or torque experienced by an airfoil due to the pressure and shear force distribution over its surface.

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Mach Number

The ratio of the speed of an object to the speed of sound in the surrounding fluid (usually air).

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Angle of Attack

The angle between the chord line of an airfoil and the direction of the oncoming airflow.

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Lift

The force perpendicular to the direction of motion, generated by an airfoil moving through the air, providing upward lift.

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Lift Coefficient (CL)

The ratio of lift to the dynamic pressure and wing area.

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Drag Coefficient (CD)

The ratio of drag to the dynamic pressure and wing area.

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Moment Coefficient (Cm)

The ratio of moment around a specific point on the airfoil to the dynamic pressure, wing area, and chord length.

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Lift Curve

The curve that plots the relationship between the angle of attack and the lift coefficient for a particular airfoil.

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Drag Polar

A plot that shows the relationship between the drag coefficient and the lift coefficient for a particular airfoil.

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What is pressure at infinity?

The pressure at infinity refers to the pressure that an aircraft experiences far away from its wings, where the air is undisturbed. It's often denoted as 'q infinity' and plays a crucial role in calculating lift and drag forces.

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What are wash in and wash out?

In aerodynamics, 'wash in' and 'wash out' describe the change in the angle of attack along the span of a wing. Wash in refers to a decrease in angle of attack towards the wingtips, while wash out represents an increase towards the wingtips. This phenomenon is directly related to the wing's dihedral angle.

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What is an ice protection system?

Ice protection systems are crucial for aircraft safety in adverse weather conditions. These systems prevent the buildup of ice on wings, tail surfaces, and other critical components, ensuring the aircraft's aerodynamic performance and stability.

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What is indicated airspeed?

Indicated airspeed refers to the speed of the aircraft as measured directly by the pitot-static tube. This measurement is affected by factors like altitude and air density, so it's not the true airspeed.

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What is true air speed?

True airspeed is the actual speed of an aircraft relative to the surrounding air mass. It is often calculated from indicated airspeed, factoring in factors like altitude, temperature, and air density.

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Pressure at Infinity (q∞)

The pressure far away from an aircraft's wings, where the air is undisturbed. It's essential for calculating lift and drag.

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Wash In & Wash Out

The change in the angle of attack along a wing's span. Wash in is a decrease in angle of attack near the wingtips, while wash out is an increase.

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Ice Protection System

Systems designed to prevent ice buildup on aircraft surfaces, ensuring efficient aerodynamic performance and stability.

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Indicated Airspeed

The speed of an aircraft measured directly by the pitot-static tube, which can be affected by altitude and air density.

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True Airspeed

The actual speed of an aircraft relative to the surrounding air mass, calculated by considering altitude, temperature, and air density.

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Pressure at Infinity

The pressure experienced by an aircraft far away from its wings, where the air is undisturbed. It's crucial for calculating lift and drag forces.

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Study Notes

Aerodynamics - Part 2

  • This part of the course covers airfoil theory primarily for inviscid, incompressible flow.
  • Inviscid flow airfoil theory cannot predict maximum lift coefficient (Clmax) or airfoil drag.

Airfoil Characteristics

  • Lift slope (ao) and zero-lift angle of attack (CL=0) are predictable using inviscid flow airfoil theory.
  • Maximum lift coefficient (Clmax) and airfoil drag are not predictable with inviscid flow theory; they require viscous flow.

NACA 2412 Airfoil

  • The lift slope is not influenced by Reynolds number (Re) except at large angles of attack.
  • Clmax is dependent upon Re.
  • Experimental data are provided for different Reynolds numbers.
  • Cm (moment coefficient) is insensitive to Re except at large angles of attack.
  • Cm is roughly located at the quarter chord (c/4) point.

Resultant Aerodynamic Force

  • The resultant aerodynamic force (R) is the result of integrating pressure and shear stress distributions across the airfoil.
  • The chord (c) is the linear distance from the leading edge (LE) to the trailing edge (TE).
  • Freestream velocity (V∞) is the velocity far ahead of the airfoil.

Normal Force & Axial Force

  • Normal force (N) is the component of R perpendicular to the chord line.
  • Axial force (A) is the component of R parallel to the chord line.

Angle of Attack

  • The angle of attack (α) is the angle between the chord line and the freestream velocity (V∞).

Lift & Drag

  • Lift (L) is the component of R perpendicular to the freestream velocity (V∞).
  • Drag (D) is the component of R parallel to the freestream velocity (V∞).
  • L = N cos α - A sin α
  • D = N sin α + A cos α

Reynolds Number (Re)

  • Re is the ratio of inertial forces to viscous forces: Re = ρ∞V∞c/μ.
  • ρ∞ is the freestream density.
  • V∞ is the freestream velocity.
  • c is the chord length.
  • μ is the dynamic viscosity.

Dimensional Analysis

  • The actual magnitude of lift (L), drag (D), and moment (M) depends on the parameters: V∞, ρ∞, S, c, d, l, α, airfoil type, (Re), Mach number.
  • L = f(V∞, ρ∞, S, c, μ, α) ; D = f(V∞, ρ∞, S, c, μ, α) ; M = f(V∞, ρ∞, S, c, μ, α).

Example Problems

  • Several example problems provide calculations and applications of these concepts including calculating lift, drag and moment about the quarter chord (c/4) of an airfoil at 10° angle of attack.

Finite Wing Theory

  • Practical wings have finite span; their performance is different from infinite ones.
  • The concepts of wash-in and wash-out are introduced.

Icing Effects

  • Rain, snow, and ice can negatively impact aircraft performance by increasing drag and reducing lift.
  • Causes issues with destructive vibrations, instrument readings, control surfaces (including flaps and slots), radio reception, and engine performance.
  • Stalling speed is increased.

Ice Protection Systems

  • Discussion of systems used to prevent ice buildup on aircraft.

Mixed Ice, Snow, frost

  • Mixed ice, snow or frost build-up on an airfoil changes its effective shape, increasing boundary layer thickness and altering lift & drag.

Aircraft Speeds

  • A knot is one nautical mile per hour.
  • Nautical miles are standardized to 1853 meters.
  • Airspeed, indicated airspeed, ground speed, and their relationship changes with altitude. True airspeed is a useful measure for flight navigation. Ground speed, accounting for wind, is also important

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Aerodynamics - Part 2 PDF

Description

This quiz delves into the principles of airfoil theory, focusing on inviscid, incompressible flow. Explore key concepts such as lift slope, zero-lift angles, and the effects of Reynolds number on maximum lift coefficients. Test your understanding of aerodynamic forces and characteristics of the NACA 2412 airfoil.

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