Related Experiment Video
Updated: Aug 16, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Non-ideal gas behavior matters in hydrodynamic instability.
Jie Ren1,2, Markus Kloker3
1Institute of Aerodynamics and Gas Dynamics, University of Stuttgart, Pfaffenwaldring 21, 70569, Stuttgart, Germany. jie.ren@iag.uni-stuttgart.de.
Real-gas effects significantly impact low-speed flow stability, challenging classic Newtonian fluid theory. Understanding these non-ideal thermodynamic influences is crucial for accurate aerodynamic predictions and device design.
Area of Science:
- Fluid dynamics
- Aerodynamics
- Thermodynamics
Background:
- Hydrodynamic instability governs laminar-turbulent transition in fluid flows, essential for aerodynamic device design.
- While hypersonic flows require accounting for thermodynamic/chemical effects, low-speed flows are often simplified using Newtonian fluid theory.
- Classic theory overlooks non-ideal, real-gas effects in low-speed flows, potentially leading to inaccurate predictions.
Purpose of the Study:
- To investigate the role of non-ideal real-gas effects on hydrodynamic instability in low-speed boundary-layer flows.
- To determine if thermodynamic influences, beyond classic theory, affect flow stability at ambient temperatures.
- To analyze the impact of different thermodynamic regimes (subcritical, supercritical, transcritical) on flow stability.
Main Methods:
- Analysis of three-dimensional low-speed boundary-layer flow.
- Inclusion of real-gas effects across subcritical, supercritical, and transcritical thermodynamic regimes.
- Sensitivity studies on perturbation growth rates using full stability equations.
Main Results:
- Non-ideal real-gas effects significantly influence hydrodynamic instability in low-speed flows.
- High sensitivities of perturbation growth rates to thermodynamic inputs were observed.
- The transition-onset location and mechanism are potentially affected by these real-gas effects.
Conclusions:
- Classic Newtonian fluid theory is insufficient for low-speed flows where real-gas effects are present.
- Coupling thermodynamics accurately is essential for understanding flow stability and transition.
- Findings necessitate re-evaluation of aerodynamic models for low-speed applications.
Related Concept Videos
Real Gases: Effects of Intermolecular Forces and Molecular Volume Deriving Van der Waals Equation
Kinetic Theory of an Ideal Gas
The number of molecules in one mole is called...
Navier–Stokes Equations
Steady, Laminar Flow in Circular Tubes
Van der Waals Equation
First, the attractive forces between molecules, which are stronger at higher densities and reduce the pressure, are considered by adding to the pressure a term equal to the square of the molar density multiplied by a positive coefficient a. Second, the volume...
Irrotational Flow

