Andrey Anatolievich Verlan, Jo Sterten


A mathematical model for the process of a gas jet outflow with account of diffusion in space filled with another gas is considered. A calculation algorithm is suggested for the concentration of the initial gas in the jet and the velocity of the mixed jet. The region of sharp change in the concentration of the initial gas is determined. The problem under consideration relates to the study of the processes of technical constructions tightness control and increasing sustainability of technological processes.

Ключові слова

mathematical modeling; gas jets mixing; outflow of gas jets; microchannels.

Повний текст:

PDF (English)


BaiShi-i. Theory of jets. — M. : Fizmatgiz, 1960.

Abramovich G. N. The Theory of Turbulent Jets / G. N. Abramovich. — Mas-sachusetts : M.I.T. Press, 1963.

Aziz T. N. Numerical Simulation of Turbulent Jet / T. N. Aziz, J. P. Raiford, A. A. Khan // Engineering Applications of Computational Fluid Mechanics. — 2008. — Vol. 2. — № 2. — P. 234–243.

Harley J. Gas flow in microchannels / J. Harley, Y. Huang, H. Bau, J. Zemel // Journal of Fluid Mechanics. — 1995. — Vol. 284. — P. 257–274.

Arkilic E. B. Gaseous slip flow in long microchannels / E. B. Arkilic, M. A. Schmidt, K. S. Breuer // J. Microelectromech. Syst. — 1997.

Beskok A. Simulation of heat momentum transfer in complex microgeometries / A. Beskok, G. Karniadakis // Journal of Thermophysics and Heat transfer. — 1994. — Vol. 8. — № 4. — P. 647–655.

Bird G. A. Molecular Gas dynamics and the direct simulation of gas flow / G. A. Bird // Oxford Engineering Science. — New York : Oxford Univer-sityPress, 1994.

Cai C. Direct simulation methods for low-speed microchannel flows / C. Cai, I. D. Boyd, J. Fan, G. V. Candler // Journal of Thermophysics and Heat Trans-fer. — 2000. — Vol. 14. — № 3. — P. 368–378.

Zucker R. D. Fundamentals of Gas Dynamics / R.D. Zucker, O. Biblarz. — John Wiley & Sons. — 2002.

Vincenti W. G. Introduction to Physical Gas Dynamics / W. G. Vincenti, C. H. Kruger. — Jr. : Krieger publishing company, 2002.

Pletcher R. H. Computational Fluid Mechanics and Heat Transfer / R. H. Pletcher, J. C. Tannehill, D. Anderson. — Third Edition. — CRC Press, 2012.

John C. Finite Difference Schemes and Partial Differential Equations / C. John. — 2 edition — Strikwerda, 2004.