Behavior of Non-Mixing Compressible Fluids Across a Wide Range of Density Contrasts

Abstract

In the case of water–air systems, the density ratio can be as extreme as 1000, a condition that poses significant challenges for conventional computational models. Existing formulations often fall short in accurately addressing such high-density-ratio scenarios. In this study, we propose an alternative theoretical framework for modeling density evolution within computational fluid dynamics (CFD). Unlike traditional approaches based on the Navier–Stokes or Euler equations, our model is derived from the thermodynamic principle of energy minimization. The outcomes align well with Landau’s theory on the speed of sound and, notably, extend the classical Bernoulli principle to incorporate a broader form of energy conservation. This newly developed model is applicable to immiscible fluid systems with arbitrary density ratios, offering a novel direction for CFD analysis involving both compressible and incompressible fluids.

Cite as:

Manjunath T.N. (2025). Behavior of Non-Mixing Compressible Fluids Across a Wide Range of Density Contrasts. Recent Trends in Thermodynamics and Thermal Energy System, 1(2), 27–36. 

https://doi.org/10.5281/zenodo.16409816