Exam_1_2004_key - EAS 4101 - Aerodynamics Spring 2004...

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EAS 4101 - Aerodynamics – Spring 2004 3/3/04, Exam #1 Name: _____________key___________ 1 Questions:(45 points total, 3 points each, unless otherwise marked) 1. What is the definition of the center of pressure for an airfoil? The point on an airfoil about which the aerodynamic moment due to the distributed pressure load is zero. 2. What is the definition of the aerodynamic center for an airfoil? The point on an airfoil about which the aerodynamic moment due to the distributed pressure load is not a function of the angle of attack. 3. What is the velocity boundary condition for a solid surface for an inviscid-flow problem? Normal velocity is zero, but there is slip! 4. State the 3 methods (and their respective assumptions) discussed in class of deriving Bernoulli’s equation (6 points) . Inviscid, incompressible and along a stream line via Euler-S equation Inviscid, incompressible and irrotational via Cartesian Euler equation Conservative flow via energy equation 5. For inviscid flow around a bend, does the pressure increase, decrease, or remain the same in the outward direction from the bend (or radius of curvature is increasing)? Pressure will increase via Euler-N equation
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EAS 4101 - Aerodynamics – Spring 2004 3/3/04, Exam #1 Name: _____________key___________ 2 Questions continued: (45 points total, 3 points each, unless otherwise marked) 6. What are the conditions under which both the streamfunction and the velocity potential identically satisfy Laplace’s equation for a spherical coordinate system ? 2-D (axisymmetric), incompressible, and irrotational. Conservation of mass is identically satisfied. 7. In ideal flow, it is common to employ superposition solutions of various individual solutions to Laplace’s equation in terms of the streamfunction and/or velocity potential. Is it also valid to superimpose pressure fields of each individual solution? Please justify your answer mathematically and/or physically. No, the pressure fields are non-linearly related to the velocity fields via Bernoulli’s equation in ideal flow. 8. List and explain the origins of the two types of drag acting on a 2-D bluff body 1) Skin friction drag due to viscous wall shear stress.
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Exam_1_2004_key - EAS 4101 - Aerodynamics Spring 2004...

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