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The experimental setup and measurement techniques for studying supersonic flow past a wedge using flow visualization methods, specifically schlieren and shadowgraph. The instrumentation used, the measurement process, and the theoretical background of the schlieren and shadowgraph methods. Students are expected to obtain schlieren and shadowgraph images during supersonic operation and analyze the results.
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The Mach 4.0 nozzle will be used in the supersonic wind tunnel. This permits the use of the top mounted sting to support models (wedge, cone, blunt body). The wedge used is approximately 29 degrees total angle and can be mounted at various angles to the flow. Each surface of the wedge has a static pressure tap (or several connected taps).
Schlieren and Shadowgraph Methods
General Description
Optical methods are very powerful and relatively simple ways of studying supersonic flows. Such flows involve large density changes which lead to large changes in the index of refraction. Uniform light beams will be distorted by the index of refraction changes, providing visualization of the flow features. Read one or more of the listed references that are ON RESERVE IN THE LIBRARY. A double-mirror schlieren and/or shadowgraph system, like the one shown in figure 1 is set up in the supersonic lab. The mirrors are spherical, axial mirrors, 11.75 inches in diameter with a focal length of approximately 82.4 inches. An additional plane mirror “folds” the optical path located on the camera side. The light source and knife-edge should be located on the opposite sides of the collimated optical path and as near as possible to it to minimize the off-axis aberrations (coma and astigmatism). The light source is a 1-2 microsecond General Radio Strobatac which can be remotely triggered with a cable switch (button). The schlieren is sensitive to the spatial derivative of density (and thus index of refraction) in the flow field. A shadowgraph is sensitive to the second derivative of the density, so it displays sharp variations, as across a shock, more clearly. All originating
pencils of light pass through the test section and are focused at the same plane. Without an obstruction such as the knife edge the recording screen would be uniformly illuminated. The presence of a knife edge in a schlieren system decreases the illumination at the recording plane. The knife edge intercepts more light from some points in the test section plane than from others, resulting in light and dark regions, or “schlieren” on the recording plane. “Schlieren” is the German word for “streaks”. The distance from the phase object (schlieren field) to the second mirror, O D, is greater than the focal length of the mirror, f, and a real image is formed at a distance
measured from the mirror. Therefore, the system can be operated without a camera lens by placing the film in the plane of the primary image. This has been done in the past using a Polaroid camera which provides a large image capturing plane. However, this lab will use a Nikon digital camera with a lens. The image is, therefore, focused on the camera lens rather than directly onto the small recording plane inside the digital camera. The magnification between the object and its image is
and varies from 0.7 to 0.94 for OD varying from 200” to 170”, respectively. A copy of a schlieren photograph is in figure 2.
Apparatus for Schlieren
(1) Light Source System. Consists of a General Radio Model 1538-A Strobatac, convex lens (f ~ 7 inches), and adjustably-mounted light slit. Convex lens has one degree of freedom (longitudinal). Slit has three degrees of freedom: longitudinal, rotational, and aspect ratio(i.e. slit width).
- Slit should be normal to the flow density gradients of interest.
Strobotac settings: time-averaged schlieren: Set Strobotac to 40000 rpm continuous and use a shutter to control film exposure.
(2) 11.75” concave mirror, focal length f = 82.5 inches (3) Location of flow feature interest (the wedge).
(4) 11.75” concave mirror, f = 82.4 inches. Object distant (= OD = distance from (3) to (4)) should be greater than f and should satisfy equation (1) (5) Flat mirror and knife edge system. Mirror is approximately ten inches in diameter. It can be angled by adjusting the thumb-screws located on the back of the mirror. Knife edge can be moved along the bench by loosening the bottom screws, and can be more precisely positioned via a track-mount, which is controlled by a large knob near the bottom of the apparatus, and larger adjustments can be made by using an Allen-wrench to loosen the back plate (which holds the actual knife edge) for rotation.
Procedure
Report