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The Quarterly Journal of Mechanics and Applied Mathematics 1970 23(3):413-430; doi:10.1093/qjmam/23.3.413
© 1970 by Oxford University Press
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THE BUOYANT TWO-DIMENSIONAL LAMINAR VERTICAL JET

S. B. SAVAGE and G. K. C. CHAN

( Department of Civil Engineering and Applied Mechanics, McGill University Montreal )

The problem of a hot two-dimensional lamianar jet issuing vertically into an otherwise quiescent fluid of a lower temperature is studied by means of two coordinate-type expansions and by means of a simple integral method. Detailed calculations of the series expansions are carried out for a Prandtl number of two in order to facilitate comparison with temperature and velocity distributions obtained by the integral method which is expected to be quite accurate fot this Prandtl number. It is found that the velocity along the vertical axie of symmetry initially decreases with distance from the virtual origin, reaches a minimum and thereafter steadily increases. The centre-line temperature decreases monotonically from the virtual origin.


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