Atomistic molecular dynamics simulation and a simple continuum viscous flow model are employed to investigate the sintering of straight-chain nanoparticle aggregates. The results are used to develop a phenomenological sintering scaling law. The chain aggregates investigated consist of up to 80 primary particles of silicon, with primary particles of 2.5-7 nm in diameter. We found that sintering of chain aggregates consists of three steps. In step ͑a͒, reaction between particles to minimize surface defects and development of a cylindrical like shape comprised an induction period.Step ͑b͒ consisted of contraction of the cylinder, which actually consisted of two contraction stages. The first stage was the local contraction stage where sintering occurs only at the ends of the particle chain, and the second stage involved the global contraction. The last step was the nominal sintering process from an oval to spherical shape. As expected, sintering time increases with increasing chain length, with the exception that very long chains fragmented. The sintering times normalized by the primary particle diameter showed a universal relationship which only depends on chain length. These results were found to be consistent with a mathematical model we develop based on continuum viscous flow. The model was able to predict the sintering time in excellent agreement with results obtained from molecular dynamics simulation for any chain length and any primary particle size for straight nanoparticle chain aggregates. The results for sintering times for aggregate chains could be summarized with a power law modification of the Frenkel viscous flow equation, to include a dependence on the number of particle connections in a chain aggregate: t = t Frenkel * ͑N −1͒ 0.68 .