To capture the diverse phenomena presented in this study, several schlieren configurations were employed, including a classical Z-type setup [
1], a U-type compact configuration, and a single-mirror Toepler-type arrangement. All setups utilize mirror-based optics, which offer key advantages over lens-based schlieren systems, particularly in terms of chromatic aberration elimination, higher light throughput, and broader spectral compatibility. The Z-type layout, with its symmetric mirror configuration, provides excellent image quality and is ideal for high-sensitivity and quantitative measurements. The U-type system, adapted for limited laboratory space, maintains comparable optical path lengths while reducing the system footprint. The single-mirror Toepler configuration offers a simple and portable alternative, particularly useful for quick diagnostics or in constrained setups, albeit with some trade-offs in sensitivity and field uniformity. Collectively, these mirror-based configurations enable versatile schlieren imaging across a wide range of scenarios without the optical dispersion issues inherent to lens systems.
In the following sections, the presented experiments are explicitly linked to the corresponding schlieren configuration in the order of appearance.
Figure 1 presents the Z-type configuration,
Figure 2 shows a U-type configuration employed solely due to space limitations in the laboratory, and
Figure 3 illustrates a less common single-mirror arrangement used here to enhance image magnification for reduced-scale phenomena.
The Z-type arrangement (
Figure 1) served as the baseline system and was employed for most visualizations, including vapor plumes and evaporation (
Figure 4,
Figure 5,
Figure 6 and
Figure 7), combustion and thermal flows (
Figure 8,
Figure 9,
Figure 10,
Figure 11,
Figure 12,
Figure 13 and
Figure 14), reactive releases such as vinegar–baking soda and bubble ruptures (
Figure 15,
Figure 16,
Figure 17,
Figure 18 and
Figure 19), and balloon burst acoustics (
Figure 20,
Figure 21 and
Figure 22). The supersonic jet experiment was performed with both the Z-type (
Figure 23a) and the Toepler single-mirror system (
Figure 3;
Figure 23b,c). The compact U-type layout (
Figure 2) was specifically used for the turbulent underexpanded jet (
Figure 24), where the laboratory constraints required both source and camera on the same side of the bench. Several additional turbulent jet and thermal plume studies were then conducted with the Z-type configuration (
Figure 25,
Figure 26,
Figure 27,
Figure 28 and
Figure 29), followed by optical surface inspections (
Figure 30,
Figure 31 and
Figure 32).
1.1. The Z-Type Schlieren Configuration
The primary configuration employed in this study is a Z-type schlieren system, constructed using two parabolic mirrors with an effective focal length (EFL) of 1524 mm [
2] and a Phantom VEO 710L [
3] high-speed camera as the imaging device. This classical two-mirror layout remains the most robust and versatile configuration for laboratory schlieren experiments, owing to its high optical sensitivity, excellent spatial resolution, and the elimination of chromatic aberrations inherent in lens-based systems.
A collimated beam is generated by the first mirror, passes through the test area, and is refocused by the second mirror onto a cutoff device, either a knife edge or a custom color schlieren filter, placed at the focal point. The resulting image intensity variations correspond to the first spatial derivative of the refractive index in the direction perpendicular to the cutoff. This allows visualization of subtle gas density gradients, shockwaves, or thermal plumes, depending on the test scenario.
In the current setup, the test section is located between the mirrors, and the phenomena typically span optical path lengths (L) on the order of a few millimeters to several centimeters, depending on the physical extent of the refractive index gradients (e.g., vapor jets, boundary layers, shock fronts). The long focal length mirrors provide a very narrow minimum detectable deflection angle, on the order of 26 microradians, which translates, for a 2 cm path length, to a minimum detectable density gradient of ~5.8 kg/m4 under standard atmospheric conditions.
This high sensitivity makes the Z-type setup particularly effective for capturing dynamic phenomena at high temporal and spatial resolutions.
As an educational reference, it is important to emphasize several key considerations in setting up a schlieren system. The choice of mirrors is critical: mirrors with too short a focal length (FL) limit sensitivity, reduce the field of view, and introduce stronger aberrations, whereas long-FL mirrors (≥1.5 m) allow finer detection of refractive index gradients. Alignment of the optical components must also be performed with care, as small misalignments of the knife edge or cutoff filter can introduce image artifacts or asymmetries. The sensitivity of a schlieren system can be derived from its geometry using the relation from Equation (1),
where w is the cutoff width at the focal plane, f the mirror focal length, and L the path length of the test region. This shows that sensitivity increases with longer focal length and greater optical path length. Pitfalls in practical use also include the choice of light source (which must be point-like and collimatable), unwanted vibrations, and stray light, all of which can reduce contrast. Including these considerations provides guidance for reproducing and understanding schlieren experiments in an educational setting.
The system is mounted on an optical bench with incremental alignment stages for precise positioning of the mirrors, knife edge, and camera, enabling easy reconfiguration for both monochromatic knife-edge schlieren and color schlieren experiments. A schematic representation of the Z-type configuration used in this study is presented in
Figure 1.
Figure 1.
Schematic representation of a Z-type schlieren configuration. (1) Point-like light source; (2) first parabolic mirror; (3) experimental area; (4) test area; (5) second parabolic mirror; (6) knife-edge; (7) camera lens and high-speed camera.
Figure 1.
Schematic representation of a Z-type schlieren configuration. (1) Point-like light source; (2) first parabolic mirror; (3) experimental area; (4) test area; (5) second parabolic mirror; (6) knife-edge; (7) camera lens and high-speed camera.
1.3. The Toepler Schlieren Configuration
For the supersonic jet found in
Figure 23b,c, a single-mirror Toepler-type schlieren configuration [
5] was implemented using one of the same 1524 mm focal length parabolic mirrors as used in the Z-type system. In this setup, a point light source is placed slightly off-axis and collimated by the parabolic mirror, then reflected back through the test area and focused directly onto the knife edge or color filter. The camera is aligned along the same axis as the source. This minimalist arrangement is especially advantageous for quick experiments, confined spaces, and educational demonstrations, offering a reduced footprint while retaining meaningful sensitivity. Although the effective path length through the test region is typically shorter, the angular sensitivity remains high due to the long focal length mirror. The minimum detectable deflection angle in this configuration is approximately 2.62 ×
rad (0.0015°). With this geometry, the system is able to detect density gradients as low as 7.74 kg/m
4, which is sufficient to visualize many moderate refractive disturbances such as vapor plumes, thermal gradients, or CO
2 release from common chemical reactions. Moreover, this configuration was used for placing the test area closer to the focal point to increase the apparent magnification, enhancing the visibility of localized phenomena despite the lower path length. A schematic of this configuration is presented in
Figure 3.
Figure 3.
Schematic representation of a Toepler schlieren configuration used in the experiment. (1) point-like light source; (2) single parabolic mirror; (3) test region; (4) anti-reflective knife edge; (5) high-speed camera with camera lens. This configuration has been used in the experiment presented in
Figure 18.
Figure 3.
Schematic representation of a Toepler schlieren configuration used in the experiment. (1) point-like light source; (2) single parabolic mirror; (3) test region; (4) anti-reflective knife edge; (5) high-speed camera with camera lens. This configuration has been used in the experiment presented in
Figure 18.
To support the experimental investigations described in this study, a range of optical, mechanical, and recording components were employed. These elements were carefully selected to ensure high sensitivity, precise alignment, and compatibility with high-speed schlieren imaging. The core of the system is a Z-type mirror configuration, complemented by flexible configurations such as a U-type layout and a single-mirror Toepler variant. Additional resources include light sources, optical cutoffs, and flow generation tools tailored to specific phenomena.
Table 1 summarizes the main equipment and resources used throughout the experimental campaign.
The laser-pumped white light source [
6] was selected over a conventional LED because its ~0.5 mm emitting spot provides a point-like source required for schlieren imaging, while its reduced divergence allows more efficient collimation by the parabolic mirrors, resulting in brighter and higher-contrast images.
The following section presents a curated selection of schlieren images captured during the experimental campaign. Each set of images illustrates a distinct physical phenomenon, ranging from fluid evaporation and thermal plumes to shockwave propagation and gas release. These visualizations demonstrate the system’s ability to resolve subtle refractive index gradients and provide qualitative insight into the dynamic behavior of otherwise invisible flows.