Skip to main content
SpringerLink
Log in

Variational criterion for dissipative structures dominated by coupled mechanisms

  • Notes
  • Published:
Chinese Science Bulletin

Abstract

By analyzing the similarity between the viscosity-inertia compromise for single fluid in turbulent pipe flow and the particle-fluid compromise in gas-solid fluidization, it is deduced that the variational criterion for dissipative structures dominated jointly by two sub-mechanisms (for instance, viscous effect and inertial effect in turbulent flow; particle movement and fluid movement in fluidization) could be physically expressed as mutually constrained extremum between the individual extremum tendencies of the sub-mechanisms, and could thus be mathematically formulated as a two-objective optimization problem.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Gage, D. H., Schiffer, M., Kline, S. J.et al., The non-existence of a general thermokinetic variational principle, inNon-Equilibrium Thermodynamics, Variational Techniques and Stability (eds. Donnelly, R. J., Herman, R., Prigogine, I.), Chicago: the University of Chicago Press, 1966, 283–286.

    Google Scholar 

  2. Li, J. H., Qian, G. H., Wen, L. X., Gas-solid fluidization—A typical dissipative structure,Chem. Eng. Sci., 1996, (51): 667.

  3. Li, J. H., Kwauk, M.,Particle-Fluid Two-Phase Flaw—the Energy-Minimization Multi-Scale Method, Beijing: Metallurgical Industry Press, 1994.

    Google Scholar 

  4. Lamb, H.,Hydrodynamics, New York: Dover, 1945.

    Google Scholar 

  5. Peusner, L.,Studies in Network Thermodynamics, Amsterdam: Elsevier, 1986.

    Google Scholar 

  6. Li Jinghai, Wen Lixiong, Cui Hepinget al., Dissipative structure in gas-solid two-phase flow,Chem. Eng. Sci., 1998, 53(19): 3366.

    Google Scholar 

  7. Li Jinghai, Zhang Zhongdong, Sun Qichenget al., A simple variational criterion for turbulent flow in pipe,Chem. Eng. Sci., 1998.

  8. von Karman, T., The analogy between fluid friction and heat transfer,Trans. ASME, 1939, 61: 705.

    Google Scholar 

  9. Adrian, B.,Entropy Generation through Heat and Fluid Flozv, New York: John Wiley & Sons, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Multiphase Reaction Laboratory, Institute of Chemical Metallurgy, Chinese Academy of Sciences, 100080, Beijing, China

    Jinghai Li, Zhongdong Zhang & Jie Yuan

  2. Harbin Institute of Technology, School of Energy Science and Engineering, 150001, Harbin, China

    Wei Ge

Authors
  1. Jinghai Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Wei Ge
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhongdong Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Jie Yuan
    View author publications

    You can also search for this author in PubMed Google Scholar

About this article

Cite this article

Li, J., Ge, W., Zhang, Z. et al. Variational criterion for dissipative structures dominated by coupled mechanisms. Chin.Sci.Bull. 44, 323–327 (1999). https://doi.org/10.1007/BF02885483

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02885483

Keywords

Search

Navigation