Related Experiment Video
Updated: Jun 16, 2026
11:03
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Generalized analysis of shearing interferometers as applied for gas dynamic studies
Applied Optics
|February 4, 2010
Summary
Shearing interferometers measure gas density gradients in flow fields. This study presents a generalized analysis for compressible gas flow investigations using these optical instruments.
Area of Science:
- Optical Physics
- Fluid Dynamics
- Aerodynamics
Background:
- Shearing interferometers produce interference patterns from laterally sheared light rays.
- These instruments are sensitive to variations in the refractive index, which correlate with gas density gradients.
- Existing analyses may not cover all shearing interferometer arrangements for gas flow studies.
Purpose of the Study:
- To provide a generalized first-order analysis for shearing interferometers.
- To detail the application of these interferometers in gas dynamic investigations.
- To focus on their utility in studying compressible gas flows.
Main Methods:
- Development of a generalized first-order theoretical framework.
- Analysis of interference patterns generated by laterally sheared rays.
- Application of the framework to various shearing interferometer configurations.
Main Results:
- The analysis is applicable to all shearing interferometer arrangements.
- Demonstrated sensitivity to gas density gradient changes.
- Validated utility for compressible flow analysis.
Conclusions:
- A unified analytical approach for shearing interferometers is established.
- Shearing interferometers are effective tools for gas density gradient measurement.
- The study enhances the application of these interferometers in compressible gas dynamics.
Related Concept Videos
01:15Thin-Walled Hollow Shafts
In analyzing a thin-walled hollow shaft subjected to torsional loading, a segment with width dx is isolated for examination. Despite its equilibrium state, this segment faces torsional shearing forces at its ends. These forces are quantitatively described by the product of the longitudinal shearing stress on the segment's minor surface and the area of this surface, leading to the concept of shear flow. This shear flow is consistent throughout the structure, indicating a uniform distribution of...
01:14Shearing Stresses in a Beam: Problem Solving
A cantilever beam with a rectangular cross-section under distributed and point loads experiences shearing stresses. The analysis begins by identifying the loads acting on the beam. Then, the reactions at the beam's fixed end are calculated using equilibrium equations. The vertical reaction is a combination of the distributed and point loads, while the moment reaction is the sum of their moments. The shear force distribution along the beam, resulting from these loads, is established by creating...
01:16Shear on the Horizontal Face of a Beam Element
To understand shear on the flat side of a prismatic beam element, consider the vertical and horizontal shearing forces, and the normal forces, acting on the element. The element's upper (U) and lower (L) sections, which are divided by the beam's neutral axis, are examined. The equilibrium of these forces is determined by applying the equilibrium equation, which helps identify the horizontal shearing force. This force is directly related to the bending moments and the cross-section's first...
01:27Shear Diagram
In the study of beam mechanics, shear diagrams play a crucial role in understanding the distribution of shear forces along the length of a beam. Consider a beam AB that is supported at both ends and subjected to perpendicular loads.
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
First, a free-body diagram of the beam is drawn, representing all the external forces and internal reactions acting on the beam. One can calculate the reaction forces at each support by employing the equilibrium equations of force and moment. The vertical component...
01:20Shearing Strain
The shearing strain represents a cubic element's angular change when subjected to shearing stress. This type of stress can transform a cube into an oblique parallelepiped without influencing normal strains. The cubic element experiences a significant transformation when exposed solely to shearing stress. Its shape alters from a perfect cube into a rhomboid, clearly demonstrating the effect of shearing strain. The degree of this strain is considered positive if it reduces the angle between the...