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24 Cards in this Set
- Front
- Back
What is a fluid? |
A substance that tends to flow or conform the outlines of its container, and sometimes alters its shape in response to a force. (Gases and liquids) |
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Aerodynamics |
Study of the motion of air and other gaseous fluids, and the forces acting on bodies in motion relative to those fluids |
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Airfoil |
A body designed to provide a desired reaction force/moment when in motion relative to the surrounding air. |
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Important attributes of an airfoil |
Span, chord, angle of attack, camber, shape (NACA), leading edge, trailing edge, |
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Forces created by airfoil and directions they act. How do they arise? |
Normal (perpendicular to chord) Axial (Parallel to chord) Lift (perpendicular to relative wind) Drag (Parallel to relative wind) Pressure and shear stress distributions over the bodies surface |
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How is airfoil performance measured and reported? |
Wind tunnel testing. Reported through angle of attack vs coefficient graphs |
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Where are airfoil forces assumed to act? |
Center of pressure |
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What does the Reynolds Transport Theorem do? |
Relates derivatives in the Lagrangian frame to derivatives in the Eulerian frame. |
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Center of pressure |
Where all aerodynamic forces are assumed to act |
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Dimensional Analysis |
Analytical method that allows us to identify the fundamental parameters that govern a relatively complex physical process |
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Buckingham PI Theorem |
A method for reducing a number of dimensional variables describing a physical process to a smaller number of dimensionless groups |
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PI groups |
If there are N variables in a problem and these variables contain K primary dimensions (for example M, L, T) the equation relating all the variables will have (N-K) dimensionless groups. These groups are the pi groups |
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How does one determine pi groups? |
Choose K repeating variables. (K being # of fundamental dimensions). Make a product of those with remaining physical variables. Set up system of equations and determine exponents on repeating variables. |
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Flow Similarity |
Flows that are both Geometrically similar and Dynamically similar |
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Geometric Similarity |
Model and actual object have the same shape. (One is a scaled model of the other) |
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Dynamic Similarity |
1. Dimensionless similarity parameters are the same for both. 2. Streamline patterns Geometrically similar |
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Streamline |
A line tension to the local velocity everywhere |
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Pathline |
Trajectory of an individual particle |
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Streakline |
Set of fluid elements that have passed through a fixed point in space |
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Streamtube |
Set of streamlines that have passed through a closed curve in space. |
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When are streamlines, path lines, and streaklines all the same? |
When the flow is steady |
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Mass flux |
Mass flow rate per unit area |
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Stokes Theorem |
Relates integrals on closed contour to projection of vorticity on the area within contour |
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Gauss's Theorem |
Relates the flux through a volumes surface to the r.o.c of velocity within volume |