What are the Design Requirements for a Supersonic Aircraft Wing?

In summary, a rectangular flat plate wing is considered for an aircraft. The aircraft needs to take off and land on a 1500 m long sea level runway and to cruise supersonically at Mach 2.5 at 8000 m altitude. The aircraft weighs 16500 kgf and has a max thrust of 1/3 of the weight at sea level. Assuming reasonable values for both takeoff and landing and cruise, the wing must have a minimum area of 0.36 m2.
  • #1
praneeth_1728
2
0

Homework Statement


a rectangular flat plate wing is considered for an aircraft.the aircraft needs to take off and land on a 1500 m long sea level runway and to cruise supersonically at mach no 2.5 at 8000 m altitude.assume aircraft weighs 16500kgf and max thrust of aircraft at sea level is 1/3 of aircraft weight and decreases proportionally to ambient density as altitude increases.select reasonable aspect ratio (b/c) and specify the attack angle alpha,with reasonable values for both, takeoff or landing and cruise.then making suitable assumptions about the effect of finite aspect ratio on wing lift and drag for both sub sonic and supersonic flight.determine the wing minimum area sufficient to meet the takeoff or landing and cruise requirements.the relevant design input parameters may be adjusted and the thrust may be gradually increased to achieve an acceptable design,if no satisfactory solution is possible at first.

even little help on the solution for this problem with any sort of supporting equation would be greatly appreciated.please help out.
thank you very much.
 
Physics news on Phys.org
  • #2
So break up the problem. There are several requirements:

Takeoff: This is two parts in itself. The first of these is liftoff:

Lift on a surface is:

[tex]L = C_{L}q_{\infty}S[/tex]

You need to find a good chart of [tex]C_{L}[/tex] vs. [tex]\alpha[/tex]. A good place to start would be the NACA airfoil database. Search for a symmetrical supersonic airfoil. Unless you have some computational fluid modeling software this is probably the easiest solution.

This might have what you are looking for.

http://www.ae.uiuc.edu/m-selig/ads.html

Once your Lift is equal to weight, you proceed to the takeoff roll. For this you take the distance you have left and figure out how quickly the aircraft needs to ascend with respect to the remaining takeoff distance.

Cruise: Since you are flying supersonic with an airfoil at a nonzero angle of attack you will have an oblique shock wave at the tip of your airfoil and again at the back of the airfoil. You need to evaluate the conditions at cruising altitude to determine the effects of the shockwave(s). This will change during flight as your weight changes, but I assume that you can ignore any effects due to a shifting center of mass since you are only working on the airfoil part.

Landing: This is very similar to takeoff, in that you need to find an angle of attack that will give you an equation you can work with that you can fit to your constraints.

The more you progress on this the more I can help you.
 
  • #3
thank u v much,but the link would help me only from ansys point of view.for which ineed to give the input parameters.i anyways appreciate your patience to answer my query
 

1. What is fluid mechanics?

Fluid mechanics is a branch of physics that studies the behavior of fluids (liquids and gases) in motion. It involves understanding the forces and motion of fluids, as well as their interactions with solid objects.

2. What is the difference between laminar and turbulent flow?

Laminar flow is characterized by smooth and orderly movement of fluid particles, while turbulent flow is chaotic and unpredictable. Laminar flow occurs at low velocities and is characterized by thin layers of fluid moving parallel to each other, while turbulent flow occurs at high velocities and is characterized by eddies and swirls.

3. How is the Navier-Stokes equation used in advanced fluid mechanics?

The Navier-Stokes equation is a fundamental equation used to describe the motion of fluids. In advanced fluid mechanics, it is used to solve complex problems involving fluid flow, such as calculating pressure, velocity, and forces acting on objects in a fluid.

4. What are some applications of advanced fluid mechanics?

Advanced fluid mechanics has many practical applications, including aerodynamics (study of air flow around objects), hydrodynamics (study of water flow), weather forecasting, and design of aircrafts, ships, and cars. It is also used in industries such as oil and gas, aerospace, and environmental engineering.

5. How does Bernoulli's principle relate to advanced fluid mechanics?

Bernoulli's principle states that as the speed of a fluid increases, the pressure decreases. In advanced fluid mechanics, this principle is used to explain the behavior of fluids in motion, such as the lift force on an airplane wing or the flow of water through a pipe. It is a key concept in understanding and analyzing fluid flow.

Similar threads

  • Mechanical Engineering
Replies
4
Views
3K
  • Engineering and Comp Sci Homework Help
Replies
1
Views
2K
  • Poll
  • STEM Career Guidance
Replies
1
Views
2K
  • Aerospace Engineering
Replies
11
Views
9K
  • Aerospace Engineering
Replies
2
Views
7K
Replies
2
Views
2K
  • Aerospace Engineering
Replies
2
Views
7K
  • General Discussion
Replies
4
Views
7K
  • Aerospace Engineering
Replies
5
Views
7K
Back
Top