On numerical calculation of Lift Force via Potential Flow

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SUMMARY

This discussion focuses on the numerical computation of lift force via potential flow theory for a steady and incompressible flow over an airfoil. The governing equation is the Laplace equation, represented as ∇²φ = 0, with boundary conditions that include no normal velocity component on the airfoil surface and a uniform external flow at infinity, denoted as ∇φ = U∞. Participants explore the feasibility of obtaining a steady solution and the implications for lift force generation in this context.

PREREQUISITES
  • Understanding of potential flow theory
  • Familiarity with the Laplace equation and boundary conditions
  • Knowledge of airfoil aerodynamics
  • Experience with numerical methods for fluid dynamics
NEXT STEPS
  • Research numerical methods for solving the Laplace equation in fluid dynamics
  • Explore the application of boundary element methods for airfoil analysis
  • Study the implications of potential flow theory on lift generation
  • Learn about computational fluid dynamics (CFD) software for airfoil simulations
USEFUL FOR

Aerospace engineers, fluid dynamics researchers, and students studying aerodynamics who are interested in the numerical analysis of lift forces on airfoils.

Clausius2
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Imagine:
I want to compute numerically a POTENTIAL STEADY and INCOMPRESSIBLE flow over an airfoil. The set up of the problem is:
[tex]\nabla^2\phi=0[/tex]
[tex]\nabla\phi \cdot \overline{n}\big)_{x=surface}=0[/tex] no normal velocity component on the airfoil surface.
[tex]\nabla \phi=\overline{U_\infty}[/tex] as [tex]x\rightarrow\infty[/tex] external flow at large distances.
The three main questions which arise are the next:
i) Is it possible to obtain an steady solution of this stuff?
ii) Am I going to obtain any Lift force?. Why?
Thanx for participating in this discussion.
 

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