MAE2_Lecture3

# MAE2_Lecture3 - Basic Aerodynamics I Continuity Equation...

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Basic Aerodynamics I MAE 2 Continuity Equation Incompressible Flow Momentum Equation Euler and Bernoulli Isentropic Flow Speed of Sound Energy Equation Low-Speed Wind Tunnels Low-Speed Wind Tunnel circa 1916

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2 MAE 2 Stream Tubes and Lines A stream tube does not have to be bounded by a solid wall. The natural flow of fluid may be such that an imaginary tube can be drawn within the flow. Tube boundaries are formed by streamlines in the flow. This approximation assumes that fluid does not cross a streamline. Arrows, representing the path of individual fluid particles, do not cross the streamlines that form the boundary of the stream tube.
3 MAE 2 Continuity Equation Mass flow represents the mass of air passing through an area per unit time. Typical units: kg/sec or slug/sec dm dt = ˙ m = AV m = mass t = time = density A = cross section area V = velocity speed Continuity says: “What goes in one end must come out the other end.” In other words: the mass flow IN should equal the mass flow OUT ˙ m 1 = ˙ m 2 1 A 1 V 1 = 2 A 2 V 2 subscript 1 = inflow end of stream tube subscript 2 = outflow end of stream tube

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4 MAE 2 Incompressible Flow Compressible flow
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