Skip to main content
Log in

Self–Similar Propagation Regimes of a nonstationary High–Temperature Convective Jet in the Adiabatic Atmosphere

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

An integrated model of a nonstationary high–temperature convective jet that includes the universal dependence of the upper boundary of the convective front on the power of a point heat source is proposed. A class of self–similar solutions corresponding to heat sources whose power changes in time according to the power and exponential laws is considered. Calculation results are compared with known experimental vertical–velocity and temperature profiles on the jet axis.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. M. A. Delichatsios, “Time similarity analysis of unsteady buoyant plumes in neutral surroundings,” J. Fluid Mech., 93, Part 2, 241-250 (1979).

    Google Scholar 

  2. Yu. Hong-Zeng, “Transient plume inuence in measurement of convective heat release rates of fast growing fires using a large scale fire products collector,” Trans. ASME, Ser. C, J. Heat Transfer, 112, 186-191 (1990).

    Google Scholar 

  3. A. N. Vul'fson, “Integral theory of propagation of nonstationary convective jets in neutral media,” Neftepromysl. Delo, No. 8, 45-48 (1999). 260

  4. A. N. Vul'fson, “Self-similarity and propagation of the upper boundary of a convective thermic in the neutral strati_ed atmosphere caused by point, linear, and plane heat sources,” Izv. Akad. Nauk SSSR, Fiz. Atmosf. Okeana, 34, No. 4, 557-564 (1998).

    Google Scholar 

  5. G. I. Barenblatt, Similarity, Self-Similarity, and Intermediate Asymptotics [in Russian], Gidrometeoizdat, Moscow-Leningrad (1982).

    Google Scholar 

  6. H. Rouse, C.-S. Jih, and H. W. Humphreys, “Gravitational convection from a boundary source,” Tellus, 4, No. 3, 201-210 (1952).

    Google Scholar 

  7. Y. Ogura and N. A. Phillips, “Scale analysis of deep and shallow convection in the atmosphere,” J. Atmos. Sci., 19, No. 2, 173-179 (1962).

    Google Scholar 

  8. G. Schlichting, Boundary Layer Theory, McGraw-Hill, New York (1968).

    Google Scholar 

  9. W. Rudin, Principles of Mathematical Analysis, McGraw-Hill, New York (1964).

    Google Scholar 

  10. F. H. Schmidt, “On the diffusion of heated jets,” Tellus, 9, No. 3, 378-383 (1957).

    Google Scholar 

  11. R. S. Scorer, Environmental Aerohydrodynamics, John Willey and Sons, New York (1978).

    Google Scholar 

  12. Ya. B. Ze'dovich, “Limiting laws of freely ascending convective flows,” Zh. Éksp. Teor. Fiz., 7, No. 12, 1463-1465 (1937).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vul'fson, A.N., Borodin, O.O. Self–Similar Propagation Regimes of a nonstationary High–Temperature Convective Jet in the Adiabatic Atmosphere. Journal of Applied Mechanics and Technical Physics 42, 255–261 (2001). https://doi.org/10.1023/A:1018871702004

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1018871702004

Keywords

Navigation