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The Rees-Sciama (RS) effect produces fluctuations in the cosmic microwavebackground (CMB) through the time-dependent gravitational potential in thenonlinear stages of evolution. I investigate the RS effect on the CMB angularpower spectrum $C_l$ for several CDM models by combining the results of N-bodysimulations with second order perturbation theory. The amplitude of the RSfluctuations peaks at $l \sim 100-300$, where it gives $\Delta T /T \sim10^{-7}-10^{-6}$ for a wide range of models. This is at least an order ofmagnitude below the COBE normalized primary contribution. RS fluctuations couldbe a dominant source of anisotropies only on subarcminute scales ($l \approx5000$) and are below the present day observational sensitivities on all angularscales.Comment: 16 pages, latex file using aastex package, including 5 figures,  submitted to Ap

Rees-Sciama Effect in a Cold Dark Matter Universe