The boundary-layer analysis of free-convection heat transfer from a vertical cylinder with uniform heat flux at its surface is made. The transformed ordinary coupled equations form a two-parameter system (ηw and Pr). The two search type of equations is solved using an iterative scheme developed for the isothermal case. Numerical solutions obtained for parametric values of Pr and ηw indicate that the cylinders can be classified as short cylinders, long cylinders, and wires. Heat transfer correlations are presented and compared with experimental data. The results suggest that correlations for the isothermal case may be used for the present case also if a discrepancy of about 6 percent can be tolerated.

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