An entraining jet model for cumulo-nimbus updraughts

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Squires, P. ; Turner, J. S. (2011)

A model of a cumulo-nimbus updraught is presented, based on a steady-state, turbulent, condensing plume, entraining environmental air according to the simple law that the inflow velocity at any height is proportional to the upward velocity of the plume. With this model, the shape of the cloud as well as its other properties follow from the dynamics, and cloud development is size-dependent. The virtual temperature excess at cloud base is taken as zero; this seems the only appropriate assumption for a steadystate plume model. The thermodynamical treatment is made with few approximations, and the effect of freezing on the dynamics is included in a simple fashion. Some preliminary calculations result in realistic cloud shapes and reasonable values for the internal properties.DOI: 10.1111/j.2153-3490.1962.tb01355.x
  • References (23)
    23 references, page 1 of 3

    BATCHELORG, . K., 1954, Heat convection and buoyancy effects in fluids. Quart. J. Roy. Meteor. SOC.,80, pp. 339-358.

    BUNKERA,. F., HAURWITBZ.,, MALKUSJ,. S., and STOMMEL,H., 1949, Vertiml distribution of temperature and humidity over the Caribbean Sea. Papers Phys. Oceanog. Meteor. Mass. Inst. Technol. and Woods Hole Oceanog. Inst.,Vol. 11, No. 1.

    BYERS, H. R., and BRAHAMR,. R., 1949, The Thunderstorm. U.S. Dept. of Commerce, Washington.

    HOUOHTOHN., G., and CRAMERH,. E., 1951, A theory of entrainment in convective currents. J. Meteor., 8, pp. 95-102.

    JAMES,D. G., 1953, Fluctuations of temperature below cumulus clouds. Quart. J. Roy. Meteor. SOC.,79, pp. 425-428.

    LEVINEJ,., 1959, Spherical vortex theory of bubblelike motion in cumulus clouds. J . Meteor., 16, pp. 653-662.

    LUDLAMF, . H., 1958, The hail problem. Nubila, 1, pp. 1-96.

    MALKUSJ, . S., 1952, Recent advances in the study of convective clouds. Tellua, 4, pp. 71-87.

    MALKUS,J. S., 1960, Penetrative convection and a n application t o hurricane cumulo-nimbus towers. Cumulua Dynamics, ed. C. E. ANDERSONp,p. 65- 84. Pergamon, Oxford.

    MORTONB,. R., 1957, Buoyant plumes in a moist atmosphere. J. Fluid Mech., 2, pp. 127-144.

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