Natural Convection Along Slender Vertical Cylinders with Variable Surface Temperature
Natural convection in laminar boundary layers along slender vertical cylinders is analyzed for the situation in which the wall temperature T//w(x) varies arbitrarily with the axial coordinate x. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a nonsimilar transformation and the resulting system of equations is then solved by a finite difference method in conjunction with the cubic spline interpolation technique. As an example, numerical results were obtained for the case of T//w(x) equals T// infinity plus ax**n, a power-law wall temperature variation. They cover Prandtl numbers of 0. 01, 0. 7, 7, and 100 over a wide range of values of the surface curvature parameter. Representative local Nusselt number as well as velocity and temperature profiles are presented.
H. Lee et al., "Natural Convection Along Slender Vertical Cylinders with Variable Surface Temperature," Journal of Heat Transfer, American Society of Mechanical Engineers (ASME), Jan 1988.
The definitive version is available at https://doi.org/10.1115/1.3250439
Mechanical and Aerospace Engineering
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© 1988 American Society of Mechanical Engineers (ASME), All rights reserved.