For laminar flow, the velocity profile of a jet is given by
where M is the momentum flux, is the density, is the kinematic viscosity, and x and y are coordinates with respect to the jet. However, this profile is not observable because of the instability of the jet (Tritton 1988).
References
Birkhoff, G. and Zarantonello, E. H. Jets, Wakes, and Cavities. New York: Academic Press, 1957.
Pai, S.-I. Fluid Dynamics of Jets. New York: Van Nostrand, 1954.
Tritton, D. J. Physical Fluid Dynamics, 2nd ed. Oxford, England: Clarendon Press, pp. 114-115 (1st ed.), 1988.
Weisstein, E. W. "Books about Jets." http://www.ericweisstein.com/encyclopedias/books/Jets.html.