Definitions Flashcards
Circulation
Line integral of velocity tangent to line around a closes curve
Kutta condition
Airflow leaving trailing edge must leave smoothly
Why does the kutta condition exist
Exists to ensure a unique value of circulation around the aerofoil, hence a unique value of lift/ if not satisfied, velocity at trailing edge may have an infinite value
Inviscid
Zero Viscosity
What 2 conditions are true in an ideal flow
Inviscid and constant density
Streamline
Curve who’s tangent is everywhere in the same direction as a velocity vector field
Vorticity
The curl of a velocity field. A measure of a local rotation of a fluid
Irrotational flow
Vorticity is 0
What conditions are true for potential flow
Irrotational and Inviscid
What is the relationship between stream function and potential flow
Orthogonal
How can fluids for a complex flow be modelled
External flows around a body can be approximated as Irrotational and Inviscid. External potential flows can then be solved for, with viscosity effects applied within boundary layers
How can you approximate complex potential flows
By superposition and and adding simple potential flows around
Do potential flows actually exist
No; as flow with 0 viscosity is impossible
What force will not be seen when looking at the behaviour of an object in a potential flow
Drag
Circulation
Line integral of velocity around a closed curve (C)
What are the four elementary flows
Uniform flow, source flow,sink flow and free vortex flow
What blocks are involved in doublet flow
A source and a sink
Half body flow
A source in a free stream
What flow features are found on Circular cylinder with no lift
Uniform flow and doublet flow (source and sink)
What is d’alemberts paradox
Result of 0 drag when cylinder is modelled in a uniform potential flow
Building blocks of a lifting flow over a circular cylinder
Uniform flow + doublet + vortex flow
Kutta condition
A body with a sharp trailing edge will generate enough circulation to hold its stagnation point at the trailing edge
What is the thin aerofoil theory
For a given shape aerofoil, there exists a continuous distribution of vortices along the mean chord line with a unique vortex strength, so that a combined velocity field of upstream flow and vortex sheets satisfies boundary conditions
What is a trailing vortex
Two curling vortices that form at a wingtip and trail downstream.
What is downwash
Downward velocity induced by tip vortices along the span, directly behind the wing
What is induced drag
Drag penalty caused by generation of lift. Energy lost in wingtip vortices