ME313 Flow of Compressible Fluids

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ME313 Flow of Compressible Fluids

ME3251 Flow of Compressible Fluids Spring 2013 Dr. T. J. Barber

Problem 19: airfoil force coefficients

Using shock-expansion theory, calculate the lift and drag (coefficient) on a symmetrical diamond airfoil of semiangle  = 15 at an angle of attack to the free stream of 5 when the upstream Mach number and pressure are 2.0 and 2116 lb/ft2, respectively. The maximum thickness of the airfoil is t = 0.5 ft. Assume a unit length of 1 ft in the span direction (perpendicular to the page).

Problem 20: supersonic airfoil trailing edge

Two airstreams come together at the top of a two-dimensional wedge, having a 15-degree included angle, as shown in the figure below. The upstream flow conditions are:

M1 = 2.4 p1 = 101.3 kPa M2 = 1.6 p2 = 101.3 kPa

Determine the following flow conditions in regions 3 and 4. [Use one of the on-line software packages] a) Shock angles b) Direction of the streamlines c) Mach numbers

1 3

2 4

Problem 21: multi-ramped inlet / diffuser

Air at an upstream Mach number of 2.7, a pressure of 10kPa and a temperature 250K enters a two-dimensional diffuser. Determine the temperature, pressure and increase in entropy downstream of the normal shock for the two cases shown below.

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