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Free and forced convection from a vertical cylinder with constant surface heat flux. - Part I: An asymptotic solution

Scurtu N., Pop I., Postelnicu A.

Applied Mechanics and Engineering

2000

Vol. 5, no 2

451-469

A theoretical study is conducted in this paper for the development of the steady three-dimensional boundary layer, which is induced by a horizontal forced convection flow past an infinitely long vertical cylinder. It is assumed that the cylinder is partially prescribed with a constant heat flux qw, while the other part of the cylinder is held at the ambient temperature T_. It is also assumed that the secondary flow is induced in the boundary layer by the buoyancy forces. A series solution method is used to solve the governing non-linear set of partial differential equations near the thermal leading edge. It is shown that the effect of the horizontal free stream on the boundary layer gradually increases as one moves upward away from the thermal leading edge along the cylinder. The solution has been obtained for different values of the Prandtl number, Pr, and it is shown that for Pr = 0.733 and Pr = 6.7 the present results are in excellent agreement with those known from the literature.