Fundamentals of Aerodynamics
Fundamentals of Aerodynamics
6th Edition
ISBN: 9781259129919
Author: John D. Anderson Jr.
Publisher: McGraw-Hill Education
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Chapter 12, Problem 12.6P

Consider a flat plate at an angle of attack in a viscous supersonic flow; i.e., there is both skin friction drag and wave drag on the plate. Use linear theory for the lift and wave-drag coefficients. Denote the total skin friction drag coefficient by C f , and assume that it does not change with angle of attack. (a) Derive the expression for the angle of attack at which maximum lift-to-drag ratio occurs as a function of C f and freestream Mach number. (b) Derive the expression for the maximum lift-to-drag ratio as a function of C f and freestream Mach number M. Answers: (a) α = ( C f ) 1 / 2 ( M 2 1 ) 1 / 4 / 2 ; (b) ( c l / c d ) max = ( c f ) 1 / 2 ( M 2 1 ) 1 / 4

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Consider a solid iron sphere entering the earth's atmosphere at 13 km/s (slightly above es- cape velocity) and at an angle of 15° below the local horizontal. The sphere diameter is 1 m. The drag coefficient for a sphere at hypersonic speeds is approximately 1. The den- sity of iron is 6963 kg/m³. Calculate (a) the altitude at which maximum deceleration oc- curs, (b) the value of the maximum deceleration, and (c) the velocity at which the sphere would impact the earth's surface.
Consider a flat plate at an angle of attack in a viscous supersonic flow; i.e.,there is both skin friction drag and wave drag on the plate. Use lineartheory for the lift and wave-drag coefficients. Denote the total skin frictiondrag coefficient by C f , and assume that it does not change with angle ofattack. (a) Derive the expression for the angle of attack at which maximumlift-to-drag ratio occurs as a function of C f and freestream Mach number.(b) Derive the expression for the maximum lift-to-drag ratio as a functionof C f and freestream Mach number M.
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