Convective heat transport in compressible fluids

Area of Science:

• Fluid Dynamics
• Thermodynamics
• Geophysics

Background:

• The Boussinesq approximation is widely used for nearly incompressible fluids.
• Understanding compressible fluid behavior in gravity is crucial for various natural and industrial processes.

Purpose of the Study:

• To generalize hydrodynamic equations for compressible fluids in gravity, accounting for adiabatic effects.
• To investigate plume generation, convection, and associated thermal phenomena in compressible fluids.
• To explore velocity profiles and flow reversals in such systems.

Main Methods:

• Development of generalized hydrodynamic equations for compressible fluids.
• Two-dimensional numerical analysis of fluid behavior.
• Formulation of a scaling theory for moderate Rayleigh numbers.

Main Results:

• Unique features of plume generation and convection in transient and steady states were revealed.
• Amplified temperature changes and overshoot behavior observed near the critical point.
• Logarithmic velocity profiles suggested within boundary layers; random shear flow reversals examined.

Conclusions:

• The generalized equations provide a more comprehensive framework for studying compressible fluid dynamics.
• Compressibility significantly impacts plume dynamics and thermal behavior, especially near critical points.
• The study offers insights into boundary layer velocity profiles and flow stability.