A mathematicaI model for turbulent bubble plume

• Autorzy: Poria, S.
• Języki publikacji: EN

Abstrakty

EN

A mathematical model for the underwater turbulent bubble plume has been constructed, assuming that slip velocity occurs between the gaseous and liquid phases. Such two-phase turbulent plume may be studied with the help of continuity equation and any one of governing equations e.g., momentum equation and the equation of energy. The present model has been constructed using the continuity equation and the equation of energy. In contrast to existing assumptions e.g., constant entrainment coefficient and constant spreading rate of the width it is assumed in the present model that the width of the plume spreads exponentially with the distance from the exit level of the plume. The distribution of the centerline velocity, relative entrainment coefficient and the relative Froude number are computed in a straight forward manner and discussed thoroughly.

Słowa kluczowe

PL

hydrodynamika; turbulencja; fizyka teoretyczna

EN

bubble plume; centerline velocity; entrainment coefficient; Froude number

• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2007
• Tom: Vol. 12, no 1
• Strony: 135-152
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Poria, S.

• Department of Mathematics Midnapore College, Midnapore West Bengal, INDIA,

Bibliografia

• Abraham G. (1972a): Theeoretische beschouwingen over zoutbestrijding bij schutsluizen door luchtbellen gordijnen, - De Ingenieur, vol.84, No.9.
• Abraham G. (1972b): Jets and plumes issuing into stratified fluid. - Int. Symp. on Statified Flows, Novosibirsk.
• Brevik I.J. (1977): Waterway, Port, Coastal and Ocean Division. - ASCE, vol.103, No.101.
• Ditmars J.D. and Cederwall K. (1974): Analysis of air-bubble plumes. - Proc. of the 14th Conf. On Coastal Engineering Copenhagen, 2209-2226.
• Fannelop and Sjoen (1980): Hydrodynamics of underwater blowouts. - Norwegian Maritime Research, vol.8, No.4, p.17.
• Haaland S.E. (1979): Division of Acro and Gas Dynamics Report, IFAG B-122. - The Norwegian Institute of Technology, Trondheim.
• Islam N., Chanda A. and Mazumdar H.P. (1995): On some characteristics of a two-phase turbulent plume. - Indian J. of Theoretical Physics, vol.43. No.8.
• Kobus H.E. (1972b): Wasserwirtschaet. - Stuttgart, vol.62, No.159.
• Lemckert C.J. and Imbereger J. (1993): Energetic bubble plumes in arbitrary stratification. - J. of Hydraulic Engineering, vol.119, No.6, p.680-703.
• Scorer R.S.(1978): Environmental Aerodynamics. - Ellis Horwood Ltd., England.
• Tekeli S. and Maxwell W.H.C. (1978): Rep. on UILU-ENG-74.
• Wilkinson D.L. (1979): Two-dimensional bubble plumes. - J. of Hydraulics Divbision, Proc. ASCE, vol.105, p.139-154.