Skip to main content
Article thumbnail
Location of Repository

Thermal vibrational convection in near-critical fluids. Part 2. Weakly non-uniform heating

By D. Lyubimov, T. Lyubimova, A. Vorobev, A. Mojtabi and B. Zappoli


The governing equations and effective boundary conditions to describe thermal vibrational convection in a near-critical fluid are derived with the help of the multiple-scale method and averaging procedure. In contrast to Part 1, this paper focuses on the effects of density non-homogeneities caused not by external heating but by vibrational and gravity stratifications due to the divergent mechanical compressibility of near-critical media. It is shown that vibrations generate non-homogeneities in the average temperature, which result in the onset of thermal convection even under isothermal boundary conditions. An agreement with the results of previous numerical and asymptotical analyses and with experiments is found.<br/

Topics: TA
Year: 2006
OAI identifier:
Provided by: e-Prints Soton

Suggested articles


  1. (2001). Convective motions in near-critical fluids under real zero-gravity conditions.
  2. (1970). Criteria for the commencement of convection in a liquid close to the critical point.
  3. (1998). G e r s h u n i ,G .Z .&L y u b i m o v ,D .V doi
  4. (1999). High Reyleigh number turbulent convection in a gas near the gas-liquid critical point. doi
  5. (2000). Low-frequency vibrations in a nearcritical fluid. doi
  6. (2001). Near-critical fluids under microgravity: status of the ESEME program and perspectives for the ISS. doi
  7. (1999). Rayleigh-Benard convection onset in a compressible fluid: 3He near Tc. doi
  8. (1999). Simulation of convective instabilities inside a supercritical fluid layer under Rayleigh-Benard configuration. doi
  9. (1995). The unexpected response of near-critical fluids to low-frequency vibrations. doi
  10. (2000). Thermal convection in an acoustic field. doi
  11. (2006). Thermal vibrational convection in near critical fluids. Part 1. Non-uniform heating. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.