Schlieren photography

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A schlieren photograph showing the compression in front of an unswept wing at Mach 1.2
Schlieren image of a
shotshell
projectile exiting a barrel

Schlieren photography is a process for photographing

aeronautical engineering to photograph the flow of air
around objects.

The process works by imaging the deflections of light rays that are refracted by a moving fluid, allowing normally unobservable changes in a fluid's refractive index to be seen.[1] Because changes to flow rate directly impact the refractive index of a fluid, one can therefore photograph a fluid's flow rate (as well as other changes to density, temperature, and pressure) by viewing changes to its refractive index.[2]

Using the schlieren photography process, other unobservable fluid changes can also be seen, such as

standing waves used in acoustic levitation.[1]

Classical optical system

The classical implementation of an optical

collimated source shining on, or from behind, a target object. Variations in refractive index caused by density gradients in the fluid distort the collimated light beam. This distortion creates a spatial variation in the intensity of the light, which can be visualised directly with a shadowgraph
system.

Optical layout of a single-mirror schlieren system

Classical

collimated or nearly-collimated light. Rays that are not deflected by the object proceed to their focal point, where they are blocked by a knife edge. Rays that are deflected by the object, have a chance of passing the knife edge without being blocked. As a result, one can place a camera after the knife edge such that the image of the object will exhibit intensity variations due to the deflections of the rays. The result is a set of lighter and darker patches corresponding to positive and negative fluid density gradients in the direction normal to the knife edge. When a knife edge is used, the system is generally referred to as a schlieren system, which measures the first derivative of density in the direction of the knife edge. If a knife edge is not used, the system is generally referred to as a shadowgraph
system, which measures the second derivative of density.

In the two-mirror schlieren system (sometimes called the Z-configuration), the source is collimated by the first mirror, the collimated light traverses the object and then is focused by the second mirror. This generally allows higher resolution imaging (seeing finer details in the object) than is possible using the single-mirror configuration.

  • Schlieren system designs
  • Optical layout of a two-mirror schlieren system, showing only the undeviated rays
    Optical layout of a two-mirror schlieren system, showing only the undeviated rays
  • Optical layout of a two-mirror schlieren system, showing the deviated rays imaged at the camera's detector
    Optical layout of a two-mirror schlieren system, showing the deviated rays imaged at the camera's detector

If the fluid flow is uniform, the image will be steady, but any

scintillation, the shimmering effect that can be seen over heated surfaces on a hot day. To visualise instantaneous density profiles, a short-duration flash
(rather than continuous illumination) may be used.

Focusing schlieren optical system

In the mid 20th century, R. A. Burton developed an alternative form of schlieren photography, which is now usually called focusing schlieren or lens-and-grid schlieren,[3] based on a suggestion by Hubert Schardin.[4] Focusing schlieren systems generally retain the characteristic knife edge to produce contrast, but instead of using collimated light and a single knife edge, they use an illumination pattern of repeated edges with a focusing imaging system.

Basic diagram of a focusing schlieren system

The basic idea is that the illumination pattern is imaged onto a geometrically congruent cutoff pattern (essentially a multiplicity of knife edges) with focusing optics, while density gradients lying between the illumination pattern and the cutoff pattern are imaged, typically by a camera system. Like in classical schlieren, the distortions produce regions of brightening or darkening corresponding to the position and direction of the distortion, because they redirect rays either away from or onto the opaque part of the cutoff pattern. While in classical schlieren, distortions over the whole beam path are visualized equally, in focusing schlieren, only distortions in the object field of the camera are clearly imaged. Distortions away from the object field become blurred, so this technique allows some degree of depth selection. It also has the advantage that a wide variety of illuminated backgrounds can be used, since collimation is not required. This allows construction of projection-based focusing schlieren systems, which are much easier to build and align than classical schlieren systems. The requirement of collimated light in classical schlieren is often a substantial practical barrier for constructing large systems due to the need for the collimating optic to be the same size as the field of view. Focusing schlieren systems can use compact optics with a large background illumination pattern, which is particularly easy to produce with a projection system. For systems with large demagnification, the illumination pattern needs to be around twice larger than the field of view to allow defocusing of the background pattern.[5][6]

Background-oriented techniques

T-38 Talon
during flight using analog background-oriented schlieren

Background-oriented schlieren technique (BOS

digital image correlation and optical flow analysis to perform synthetic schlieren, but it is possible to achieve the same effect in streak imaging
with an analog optical system.

Variations and applications

Variations on the optical schlieren method include the replacement of the knife-edge by a coloured target, resulting in rainbow schlieren which can assist in visualising the flow. Different edge configurations such as concentric rings can also give sensitivity to variable gradient directions, and programmable digital edge generation has been demonstrated as well using digital displays and modulators. The adaptive optics pyramid wavefront sensor is a modified form of schlieren (having two perpendicular knife edges formed by the vertices of a refracting square pyramid).

Complete schlieren optical systems can be built from components, or bought as commercially available instruments. Details of theory and operation are given in Settles' 2001 book.[9] The USSR once produced a number of sophisticated schlieren systems based on the Maksutov telescope principle, many of which still survive in the former Soviet Union and China.[citation needed]

Schlieren photography is used to visualise the flows of the media, which are themselves transparent (hence, their movement cannot be seen directly), but form refractive index gradients, which become visible in schlieren images either as shades of grey or even in colour. Refractive index gradients can be caused either by changes of temperature/pressure of the same fluid or by the variations of the concentration of components in mixtures and solutions. A typical application in gas dynamics is the study of shock waves in ballistics and supersonic or hypersonic vehicles. Flows caused by heating, physical absorption[10] or chemical reactions can be visualised. Thus schlieren photography can be used in many engineering problems such as heat transfer, leak detection, study of boundary layer detachment, and characterization of optics.

  • Schlieren image of the thermal plume from a burning candle, disturbed by a breeze from the right
    Schlieren image of the thermal plume from a burning candle, disturbed by a breeze from the right
  • Schlieren image showing the thermal convection plume rising from an ordinary candle in still air. This photograph clearly shows the transition from laminar to turbulent flow.
    Schlieren image showing the thermal convection plume rising from an ordinary candle in still air. This photograph clearly shows the transition from laminar to turbulent flow.

See also

References

  1. ^ a b Harvard Natural Sciences Lecture Demonstrations.
  2. ^ RolfeFollow 2015.
  3. PMID 15393811
    .
  4. ISBN 978-3-540-77206-4
    .
  5. ^ Goulding, J. S. (2006). A Study of Large-Scale Focusing Schlieren Systems (Masters Thesis). University of Witwatersrand.
  6. S2CID 120530340
    .
  7. doi:10.1016/j.flowmeasinst.2023.102420
    .
  8. ^ Kamlet, Matt (2016-04-13). "Photographic Shockwave Research Reaches New Heights with BOSCO Flights". NASA Website. Retrieved 2016-05-05.
  9. S2CID 135790075
    .
  10. ISSN 0009-2509
    .
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