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A liquid jet originating from a nozzle with radius rt breaks up into droplet; in consequence of disturbances of certain frequencies, depending on the fluid properties and the nozzle geometry. A theoretical model is developed to describe the growth of these disturbances at the jet surface. The model is based on the inviscid and irrotational Bow governed by the Laplace equation together with the kinematical and dynamical conditions at the free surface of the jet A comparison is made between the model and experimental data from literature. The model predicts a dependence on the disturbance-amplitude of the break-off mode. Contrary to other experimental results, the model predicts satellites (i.e. smaller droplets between the main larger ones) at wavelengths exceeding a critical value of (10/7)2lIr,*. The disturbances gr-ow at wavelengths more than the theoretical bound of 2fIrg. Discrepancies with experimental data are possible because of the neglect of the effect of viscosity in the theory. It is shown that the effect of viscosity on the jet can be neglected under cetain conditions. INTRODUCIION

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SUMMARYEfficiency in solving differential equations is improved by increasing the order of a Taylor series approximation. Computing time can be reduced up to a factor of 40 and an amount of memory storage can be saved, up to a factor of 70.The truncation error can be estimated not only by order but also by magnitude.