Lift and Pressure Question ( )

In summary, lift and pressure are two important concepts in fluid mechanics that are closely related. Lift is the force that acts perpendicular to the direction of motion of a fluid, while pressure is the force that acts perpendicular to the surface of an object in contact with the fluid. Both lift and pressure are affected by factors such as fluid density, velocity, and viscosity. In the context of flight, lift and pressure are essential for an object to be able to fly. The shape of an aircraft's wings and the angle at which they are positioned create a difference in air pressure above and below the wing, resulting in lift. This lift is what allows the aircraft to stay airborne and overcome the force of gravity. Factors such as fluid density, velocity, and
  • #1
physicsCU
202
1
This is the problem:

We are given either a local velocity or local coefficient of pressure. Using one, the other can be solved. Freestream V is given.

Now, if that Cp is the average Cp on the upper surface of a wing and that upper surface provides 3/4 of the lift, what is the coefficient of lift?

How would I solve the integrand of the cl integral?
 
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  • #2
I'm not sure I follow the problem as stated, but

from your textbook (I'm sure)

[tex]c_l=\int_{LE}^{TE}c_p dx[/tex]
 
  • #3


I would approach this problem by first understanding the concepts of lift and pressure. Lift is the force that acts perpendicular to the direction of motion of an object, while pressure is the force per unit area exerted by a fluid (such as air) on the object.

In this scenario, we are given the local velocity or coefficient of pressure, and the freestream velocity. Using this information, we can apply the Bernoulli's principle to solve for the other variable. This principle states that as the velocity of a fluid increases, the pressure decreases, and vice versa.

Next, we are given the average coefficient of pressure on the upper surface of a wing and the proportion of lift it provides. This information can be used to calculate the total coefficient of lift, which is the lift force divided by the dynamic pressure (1/2 * density * velocity^2).

To solve for the integrand of the coefficient of lift integral, we need to use the lift equation, which states that lift force is equal to the coefficient of lift multiplied by the dynamic pressure and the wing area. By rearranging this equation, we can solve for the coefficient of lift, which is the ratio of lift force to the dynamic pressure and wing area.

In summary, to solve this problem, we need to use the principles of Bernoulli's equation and the lift equation, along with the given information, to calculate the coefficient of lift. This will help us understand the relationship between lift and pressure and how they contribute to the overall performance of a wing.
 

What is lift and pressure?

Lift and pressure are two important concepts in fluid mechanics that are closely related. Lift is the force that acts perpendicular to the direction of motion of a fluid, while pressure is the force that acts perpendicular to the surface of an object in contact with the fluid. Both lift and pressure are affected by factors such as fluid density, velocity, and viscosity.

How is lift and pressure related to flight?

In the context of flight, lift and pressure are essential for an object to be able to fly. The shape of an aircraft's wings and the angle at which they are positioned create a difference in air pressure above and below the wing, resulting in lift. This lift is what allows the aircraft to stay airborne and overcome the force of gravity.

What factors affect lift and pressure?

As mentioned earlier, lift and pressure are affected by factors such as fluid density, velocity, and viscosity. Additionally, the shape and size of an object, as well as the angle of attack (the angle at which the object meets the fluid) also play a significant role in determining the lift and pressure forces acting on the object.

How is lift and pressure measured?

Lift and pressure can be measured using various devices such as pressure gauges, manometers, and airspeed indicators. These tools measure the pressure difference between different points on an object or in a fluid, which can then be used to calculate the lift and pressure forces.

What are some real-life applications of lift and pressure?

Lift and pressure have many real-life applications, such as in the design and operation of aircraft, automobiles, and ships. They are also essential in the fields of hydraulics and aerodynamics, as well as in the study of weather patterns and fluid dynamics.

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