Abstract
When the buoyancy forces are small compared with the inertia forces, heated plumes in laminar flows which are uniform at upstream infinity approximately satisfy a linearized version of the Boussinesq equations, here called the Oseen–Boussinesq equations. An analytic solution is constructed for arbitrary Prandtl number and arbitrary direction of the unperturbed flow in the case of a plume produced by a point source. The two-dimensional case of the plume from a line source is considered briefly. A Stokes-type paradox occurs: it is found that a line-source solution that vanishes at infinity does not exist.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference7 articles.
1. Watson, G. N. 1958 A Treatise on the Theory of Bessel Functions , 2nd edn.Cambridge University Press.
2. Csanady, C. T. 1965 The buoyant motion within a hot gas plume in a horizontal wind.J. Fluid Mech. 22,225.
3. Lamb, H. 1932 Hydrodynamics , 6th edn,p.610.Cambridge University Press.
4. Lamb, H. 1911 On the uniform motion of a sphere through a viscous fluid.Phil. Mag. 21,112.
5. Ostrach, S. 1964 Laminar flows with body forces. In Theory of Laminar Flows (ed. F. K. Moore),p.528.Princeton University Press.
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