Module 4 - Inviscid Flow Flashcards

1
Q

What is irrotational flow?

A

Flow where the vorticity is zero everywhere in the flow

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2
Q

What is inviscid flow?

A

Effects of viscosity are neglected, with no friction, thermal conduction, or diffusion

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3
Q

What is incompressible flow?

A

Flow where changes in density are small and can be neglected

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4
Q

What is vorticity?

A

Twice the angular velocity of the flow, curl of the velocity field

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5
Q

What is a streamline?

A

Line where the tangent is parallel to the local velocity vector at each point

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6
Q

What is a path line?

A

Path that traces the route of a single fluid element within a flow

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7
Q

What is circulation?

A

The negative of the line integral of velocity around a closed curve

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8
Q

What flow is the velocity potential function defined for?

A

Irrotational

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9
Q

How do equipotential lines relate to streamlines

A

Normal (perpendicular)

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10
Q

What is a stagnation point?

A

Point where the velocity is zero, highest pressure (Cp=1 for incompressible flow)

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11
Q

What are the governing equations for potential flow? What is special about them?

A

Laplace Equation -> linear equation which allows superposition of basic flows

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12
Q

What are the basic flows in potential flow?

A
  1. Uniform flow
  2. Line Vortex
  3. Source/sink
  4. Doublet
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13
Q

What basic flows are used to create the flow over a rotating cylinder?

A

Uniform flow, doublet, line vortex

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14
Q

What basic flows are superimposed to create a fixed cylinder?

A

Uniform flow, doublet

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15
Q

What is D’Alembert’s paradox?

A

Paradox in inviscid flow where the drag of a cylinder is zero, as viscous effects cause drag which are ignored in potential flow

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16
Q

What is the Magnus effect? How is it used?

A

A rotating cylinder or sphere will produce a lift force, is used in rotating “sails” and curveballs in sports

17
Q

What is the takeaway of the Kutta-Joukowski theorem?

A

Regardless of the shape of an object, circulation is required for a body to produce lift