Conjugate numerical solution of laminar forced convection for cross-flow over a cylinder with external longitudinal fins of finite thickness has been carried out. The rate of heat transfer from the fins increases and that from the free area of the cylinder marginally decreases with an increase in thickness, length, and number of fins. The rate of heat transfer from the fins alone is usually much higher than that from the cylinder surface. As a consequence, the net result of these two opposing effects is an increase in the total heat transfer over that of the smooth cylinder, the amount increasing with an increase in thickness, length, and number of fins but with diminishing returns. The fins are more effective at high Re values than at low ones.

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